A line passes through the point (-8,-3) and has a slope of -3/4

Answers

Answer 1

The equation of the line that passes through the point (-8,-3) and has a slope of -3/4 is y = -3/4x - 9

How to determine the equation of the line?

From the question, we have the following parameters that can be used in our computation:

Slope, m = -3/4

Points, (x₁, y₁) = (-8, -3)

A linear equation can be represented as

y = slope * x + y-intercept i.e. y = m(x - x₁) + y₁

Substitute the known values in the above equation

So, we have the following equation

y = -3/4(x + 8) - 3

Open the brackets

So, we have the following equation

y = -3/4x - 6 - 3

Evaluate the like terms in the above equation

So, we have the following representation

y = -3/4x - 9

The above equation cannot be further simplified

Hence. the linear equation is y = -3/4x - 9

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Related Questions

please help me.

5x + (-y) +8 -6x +9y (Evaluate X=4 and Y=-2)​

Answers

Answer:

answer: -35

Step-by-step explanation:

if it's not sorry

Answer:

-12

Step-by-step explanation:

5x+(-y)+8-6x+9y

where x=4 and y=-25(4) +(-(2))+8 -6(4) + 9(-2)20+2+8-24-1830-42-12

Seamus buys £600 of shares in a new Company. One week later the value of the shares has Increased by 15%. find the value of the shares one week after Seamus bought them. 600/100x 15 =90 90+600=690 Is this a righ answer ?cause i am not so sure if i did it right​

Answers

Answer:

yes, you did it right!

Step-by-step explanation:

You firsth calculate how much 15% of £600 are.
You did it exactly right. It's £90.
And to work out rhe value of the shares one week later, you add the £90 to the £600.

Compare the following fraction 8/14 and 4/7

Answers

Answer:

These fractions are equivalent, with 4/7 being the simplest form of both.

Step-by-step explanation:

8/14 can be simplified to 4/7 also by dividing both sides by two :)

or Line p has an equation of y= – 8x+6. Line q, which is perpendicular to line p, includes the point (2, – 2). What is the equation of line q?

Answers

Answer:

y = 1/8 x - 9/2

Step-by-step explanation:

slope of line q = 1/8

y-(-2)= 1/8(x-2)

y+2 = 1/8 x - 1/4

y = 1/8 x - 1/4 - 2

y = 1/8 x + (-1-8)/2

y = 1/8 x -9/2

For what value of X is Y= 4 a solution to the equation X-2 =XY+16

Answers

Answer:

x = -6

Step-by-step explanation:

x - 2 = x (4) + 16

x - 2 = 4x + 16

4x - x = -2 - 16

3x = -18

3/3 x = -18/3

x = -6

If the weight of 7 sheets of paper is 28 g, find how many papers will weigh 1 .5 kg?

Answers

Answer:

Step-by-step explanation:

weight of 1 sheet= (28/7)g

                            =4g

1.5kg=1.5 X 1000g

         =1500g

no. of papers that will weigh 1.5 kg= 1500/4

                                                          =375

Answer:  375 sheets of paper

Step-by-step explanation: First, to find the weight of one sheet of paper, we can do 28 divided by 7 to get 4 grams. Then, since 1.5 kg is 1500 grams, we can do 1500 divided by 4, which equals 375. So, 375 sheets of paper will weigh 1.5 kg.

hope this helps!

please consider brainliest!

HELP PLEASE ASAP!!!!!!!!

Answers

The missing angle is as follows:

m∠C = 30 degrees.

How to find congruent triangle?

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles.

In other words, two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal.

Therefore, the triangle ABC is congruent to EDF.

Hence,

∠A = ∠D

∠B = E

∠C = ∠F

Therefore,

m∠C = x

m∠F = 2x - 30

Hence,

m∠C = m∠F

x = 2x - 30

x - 2x = -30

-x = -30

x = 30

m∠C = 30 degrees

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On a coordinate plane, a line goes through (0, 3) and (3, negative 1). A point is at (negative 3, 2).
What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?

3x − 4y = −17
3x − 4y = −20
4x + 3y = −2
4x + 3y = −6

Answers

Answer:

Step-by-step explanation:

The line perpendicular to y = 4 will be a vertical line through the point (−2, 1). The equation of the vertical line is x = −2.

An equation and the steps to solve it are shown
below:
1
2x - 4 (12x+4)= 3
Step 1: 2x + 3x + 1 = 3
Step 2: 5x+1=3
Step 3: 5x+1-1=3-1
Step 4: 5x = 2
In which step was the error made and why? (1 point)

Answers

The error was made in the Step 1 as Distributive property of multiplication was not used correctly  .

In the question ,

it is given that

the equation is 2x -(1/4)(12x+4)= 3

Step 1 : by using the distributive property of multiplication ,

we get

2x - (1/4)*12x -(1/4)*4 = 3

2x - 3x - 1 = 3

So , after the first step the equation should be 2x - 3x - 1 = 3

we see that the  Distributive property of multiplication , was not used properly as the negative sign was not distributed to both the terms .

So ,  Step 1 is wrong.

Step 2 : Adding like terms

we get ,

-x - 1 = 3

Step 3 : Adding 1 to both the sides ,

we get

-x - 1 [tex]+[/tex] 1 = 3 + 1

Step 4:

-x = 4

x = -4

Therefore ,The error was made in the Step 1 as Distributive property of multiplication was not used correctly  .

The given question is incomplete , the complete question is

An equation and the steps to solve it are shown below:

2x -(1/4)(12x+4)= 3

Step 1: 2x + 3x + 1 = 3

Step 2: 5x+1=3

Step 3: 5x+1-1=3-1

Step 4: 5x = 2

In which step was the error made and why?

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the ratio of drummers to guitar players who tried out for a band is 10:45 .

How many times the number of drummers is the number of guitar players?

Answers

Answer:

4.5

Step-by-step explanation:

45/10=4.5

What causes an echo?
rarefaction
reflection
refraction

Answers

Answer:

Reflection

Step-by-step explanation:

Reflection is like looking at yourself through a mirror, so it would be the same for sound.

Tell me if this is correct.!

Answer:

Reflection

Step-by-step explanation:

i took this quiz

What is the area of the figure at the right 6 in.
7.5 in.
Please HELP

Answers

Answer:

B.

Step-by-step explanation:

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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The length and width of a rectangle that maximises the enclosed area are 800 yards. The maximum area is 640,000 square yards.

In the given question we have to find the maximum area of the rectangular area.

Liana has 3200 yards of fencing to enclose a rectangle.

As we know that the perimeter of rectangle

P= 2(l+b)

Let length of the rectangle is x yards and width is y yards.

So the equation should be

2(x+y) = 3200

Divide by 2 on both side we get

x+y = 1600................(1)

From the area of rectangle is

A = xy

From the equation the value of y is 1600-x.

Now putting the value of y

A = x(1600-x)

A = 1600x-x^2

On differentiating

dA/dx = 1600-2x

Putting dA/dx=0

1600-2x=0

Subtract 1600 on both side we get

-2x= -1600

Divide by -2 on both side we get

x = 800 yards

Now putting the value of x in the y=1600-x

y=1600-800

y=800 yards

So the maximum area is

A= 800*800

A= 640,000 square yards

Hence, the length and width of a rectangle that maximises the enclosed area are 800 yards. 640,000 square yards is the maximum area.

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Solve:-
[tex]\bf 7(5a - 4) - 1 = 14 - 8[/tex]

Answers

Answer:

a = 1

Step-by-step explanation:

Given equation,

→ 7(5a - 4) - 1 = 14 - 8

Now the value of a will be,

→ 7(5a - 4) - 1 = 14 - 8

→ 35a - 28 - 1 = 6

→ 35a - 29 = 6

→ 35a = 6 + 29

→ a = 35/35

→ [ a = 1 ]

Hence, the value of a is 1.

standard automobile license plates in a country display 3 numbers, followed by 2 letters, followed by 2 numbers. how many different standard plates are possible in this system? (assume repetitions of letters and numbers are allowed.) there are different standard plates possible in this system.

Answers

The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

Define the term permutation?The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation. The arrangement's order is essential when using permutations.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

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Type the correct answer in each box. Use numerals instead of words.
The surface area of a square pyramid is 96 square feet. The height is two-thirds of the length of the base edge.
What is the length of the base edge?
The length of the base edge of the pyramid is …
feet.

Answers

The length of the base edge of the given square pyramid is 3.67 feet.

What is the Surface Area?

The sum of all an item's faces makes up the surface area of a three-dimensional object. When wrapping, painting, and finally creating things to get the finest possible design, we apply the idea of surface areas of various items in real life.

What is a Square Pyramid?

In geometry, a pyramid with a square base and four lateral sides is referred to as a square pyramid.A polyhedron with a base and three or more triangle faces that meet above the base is called a pyramid (the apex). A pentahedron is a three-dimensional structure with a total of five faces, such as a square pyramid. The Great Pyramid of Giza is one of the most well-known examples of a pyramid like this in real life.

Steps to Calculate the Base Edge Length of Square Pyramid

The formula for surface area of square pyramid is given by, [tex]SA=a^{2} +2a\sqrt{\frac{a^{2} }{4}+h^{2} }[/tex],    -----(1)

where [tex]a[/tex] is the length of the base edge and [tex]h[/tex] is the square pyramid height.

In the question, it is given that the surface area of the square pyramid is 96 square feet.

The height of the square pyramid is two-thirds of the base edge length.

[tex]\implies h=\frac{2a}{3}[/tex]  ------(2)

Now substituting the given values in (1), we get

[tex]96=a^{2} +2a\sqrt{\frac{a^{2} }{4}+(\frac{2a}{3} )^{2} }\\\implies 96=a^{2} +2a\sqrt{\frac{a^{2} }{4}+\frac{4a^{2} }{9} }[/tex]

Simplifying, we get

[tex]96=a^{2} +2a\times 0.834a^{2} \\\implies 96=a^{2} +1.668a^{3} \\\implies 1.668a^{3}+a^{2} -96=0[/tex]

Finally, we get the value of [tex]a=3.67[/tex] feet.

Therefore, the base edge length of the given square pyramid is 3.67 feet.

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help meeeeeeeeeeeeeee pleaseee

Answers

Answer:

719.412

Step-by-step explanation:

S(x)=-.228x^2+8.154x-8.3 x=7 feet

Plug in 7 for x, you'll convert to inches at the end

S(x)=.228(7^2) +8.154(7)-8.3

S=49(.228)+8.154(7)-8.3

S=11.173+57.078-8.3

S=59.951

Multiply by 12 to get inches

719.412

(If this answer doesn't work then you probably need to convert to inches before plugging in for x. 7 x 12=84 so plug that in.)


There are some sweets in a jar
The sweets are red or orange or blue or yellow.
Hannah is going to take at random a counter from the bag.
The table shows cach of the probabilities that the counter will be blue or will be yellow.
Colour
Probability
red
orange
blue
0.5
yellow
0.2
There are 20 blue sweets in the jar.
The probability that the sweet Hannah takes will be red is twice the probability that the
sweet will be orange.
(a) Work out the number of red sweets in the jar.
the mom

Answers

the number of Red sweets=14

Let the probability of getting a red sweet be = P(R)

Let the probability of getting a Blue sweet be = P(B)

Let the probability of getting an orange sweet be = P(O)

Let the probability of getting a yellow sweet be = P(Y)

Let the number of Red sweets be represented as = n(R)

Let the number of Yellow sweets be represented as = n(Y)

Let the number of Orange sweets be represented as = n(O)

Let the number of Blue sweets be represented as = n(B)

Let the total number of sweets in the jar be represented as = n(T)

P(B) = 0.5

P(E) = 0.2

P(R) = 2 x P(O)

The formula of probability =

Number of the Sweets of a color/Total number of sweets in the jar

then,

P(B)=n(B)/ n(T)

P(B)=0.5 (Given in question)

n(B)=20 (Given in question)

So,

0.5 = 20/n(T)

5/10 = 20/n(T)

5/10 x 1/20 = 1/n(T)

cross multiplying

n(T)=10/5 x 20

dividing 10 by 5 =2

n(T) = 2 x 20

n(T) = 40

P(Y)=0.2 (Given in question)

Applying the formula of probability

P(Y) = n(Y)/n(T)

putting values

0.2=n(Y)/40

2/10=n(Y)/40

2/10 x 40 =n(Y)

Dividing 40 by 10 = 4

n(Y)= 2 x 4

n(Y)= 8

P(R)=2P(O)

Applying the formula of probability

n(R)/n(T)=2n(O)/n(T)

Cancelling out n(T) with n(T)

So,

n(R)=2 x n(O) -(i)

n(T) = n(O)+n(R)+n(B)+n(Y)

putting values

40=n(O)+n(R)+20+8

40=n(O)+n(R)+28

40-18=n(O)+n(R)

From -(i)

22=2n(O)+n(O)  

22=3n(O)

n(O)=22/3

Since,

n(R)=2xn(O)

n(R)=2x22/3

n(R)=44/3

n(R)=14.6

the number of Red sweets=14.6

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Convert the following. Round to 1 decimal.

0. 57 miles2 converted into feet2

Answers

0.57 mi²  = 15,890,688 ft² after converting square miles in square foot.

Define the meaning of unit conversion?A unit conversion is the expression of the same feature in an another unit of measurement. Time, for example, can be stated in minutes rather than hours, and distance can be translated from miles into kilometers, feet, or indeed any length measurement. Measurements are frequently stated in one set of units, including feet, but require different units, such like chains. A conversion factor seems to be a numerical equation that allows for the equal exchange of feet and chains.

The given conversion in question is-

0.57 mi²  = __ ft²

We know that

1 mi²  = 27,878,400 ft²

Then, multiply both sides by 0.57

1 x 0.57 mi²  = 27,878,400 x 0.57 ft²

0.57 mi²  = 15,890,688 ft²

Thus, the conversion of 0.57 mi²  = 15,890,688 ft².

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each week, between $30$ and $50$ students show up for an archery class run by betty and wilma. usually the students break up into groups of equal size for target practice. however, this week, betty noticed that she could not break the students up into multiple groups of equal size. wilma noticed that if she and betty both joined the students in practicing, they still could not break the archers up into groups of equal size. how many students showed up to the archery class this week?

Answers

This week 41 students showed up to the archery class that cannot be broken into multiple groups of equal sizes.

Prime numbers are numbers that cannot be divisible by any other numbers besides 1 and itself. Between 30 and 50, there are 4 prime numbers, which are 31, 37, 41, and 43. So, these prime numbers cannot be divided into equal sizes of multiple groups. But by adding 2 (If Betty and Wilma join the students) in 31, 37, and 43 we get composite numbers that can be divided into multiple groups of equal sizes.

So, 41 students showed up to the archery class this week and as 41 is a prime number, Betty and Wilma could not break the archers up into groups of equal size, and even if Betty and Wilma joined the students there will be 43 archers which even is a prime number and thus cannot be divided.

41 is the only possible number of students between 30 and 50 which cannot be broken into groups of equal sizes even if Betty and Wilma join the archers.

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Anthony say he can evaluate the expression (5+4) x 3-2 without parentheses and get the Same answer. Is Anthony correct? Explain your answer.

Answers

Answer:

Step-by-step explanation:

5 + 4 × 3 - 2

9 × 3– 2 =

27–2 = 25

2x^3 + 2
________
x + 3
In long division of polynomials

Answers

Answer:

2x^2

__________

x+3 | 3

2x + 2

3

- 2 x - 3

_________

R = - 1

Unit 4 congruent triangles

Answers

Answer: 9/3

Step-by-step explanation: the trriangles proportion is three and 9/3=3

is 8.75x linear or non-linear

Answers

Find the degree of the equation to determine if linear.

Linear

Walnut Creek Inc. is going to do a revers stock split with a 3:4 ratio. The current price per share is $234.75 and the current number of outstanding shares is 38,750,000. What is the post-split number of shares?

Answers

The post-split market capitalization of Walnut Creek Inc. is $12995089.

Given that, Walnut Creek Inc. is going to do a revers stock split with a 3:4 ratio. The current price per share is $234.75 and the current number of outstanding shares is 38,750,000.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 3+4 = 7

Now, 1/7 × 38,750,000

= 5535714 .29 shares

So, capitalization is 5535714 × 234.75

= $12995089

Therefore, The post-split market capitalization of Walnut Creek Inc. is $12995089.

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a box of buttons contains the same number of each type of button
it contains 220g of buttons
how many of each button are in the box
Button A=8 grams
Button B = 12 Grams

Answers

The number of buttons A will be 11. And the number of buttons B will be 11.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A container of buttons contains a similar number of each kind of button it contains 220g of buttons. The weight of the button is given as,

Button A=8 gramsButton B = 12 Grams

Let x be the number of each button. Then the equation is given as,

8x + 12x = 220

20x = 220

x = 11

The number of buttons A will be 11. And the number of buttons B will be 11.

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Add 7w-12 and -15w+60
Show your work

Answers

Answer:

Step-by-step explanation: 7w-12+(-15w+60)= 7w-12-15w-60= -8w-72

-8w-72 is the answer or -8(w+9) if you take out a -8

The required simplified solution of the sum of the expressions is -8w + 48

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To add 7w-12 and -15w+60
According to the question,
= 7w - 12 - 15w + 60
= 7w - 15w + 60 - 12
= -8w + 48

Thus, the required simplified solution of the sum of the expressions is -8w + 48

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Someone help me with this please

Answers

Answer:

C

Step-by-step explanation:

C has a directly proportional relationship. 27 glasses are in 9 cases, and 81 glasses are in 27 cases. Directly proportional since 9×3=27 (cases) and 27×3=81 (glasses)

please help!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

the picture is very blurry.

I understand we need the y-intercept in every case and then move the pictures into the empty frames based on sorting these numbers from lowest to highest.

the y-intercept is the point, where a function/curve intersects the y-axis.

in other words, it is the y-value of the point, where x = 0.

so,

1. 0

2. -6

3. looks like -2 (again, very blurry)

4. looks like +2

5. +6

6. +4

sorting these gives us

2. -6 3. -2 1. 0 4. +2 6. +4 5. +6

therefore the 6 frames need to receive the original pictures in that sequence.

ksiodhhhwdaaaaaaaaaaoidjooaaaaaaaaaaaaaaaaaaa

Answers

Answer:

vyfyxfrr6c*"8&"; hxh6 byhd,tf7zg5gzyfe55eE4E45w522

Step-by-step explanation:

6dyxg9yyfz6t bztrfr 4.Sabina the tortoise is an 56,123 way of Policy for recharge of the angles and tricks of Policy in order for me and I have a wonderful experience and a

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