Find the point-slope equation for
the line that passes through the
points (1,-9) and (-10, 101). Use
the first point in your equation.
y + 9 = [ ? ](x-[ ])

Answer:

x = 17

Step-by-step explanation:

To solve this equation, we can illustrate the algebraic concepts being employed and solve for the variable.

3(x - 4) = 2x + 5 Distribute the 3 into the parentheses.

3x - 12 = 2x + 5 Subtract 2x from both sides of the equation to combine like terms.

x - 12 = 5 Add 12 to both sides of the equation.

x = 17

Answer:

[tex] \displaystyle \rm \longmapsto \:3(x - 4) = 2x + 5[/tex]

[tex] \displaystyle \rm \longmapsto \:3x - 12 = 2x + 5[/tex]

[tex] \displaystyle \rm \longmapsto 3x - 2x - 12 = 2x - 2x + 5[/tex]

[tex]\displaystyle \rm \longmapsto x - 12 = 5[/tex]

[tex]\displaystyle \rm \longmapsto x - 12 + 12 = 5 + 12[/tex]

[tex]\displaystyle \rm \longmapsto x = 15[/tex]

Answer:

-9/5

Step-by-step explanation:

Suggestion:  If you are dividing by 6x - 11, enclose 6x - 11 inside parentheses to remove any doubt:

            9x

g(x) = -----------

          (6x - 11)

To find g(1) replace x with 1 in the following:

            9x

g(x) = -----------

          (6x - 11)

obtaining ...

            9(1)               -9

g(1) = -------------  =  ----------

          (6[1] - 11)           5

Step-by-step explanation:

a unit rate is a rate that compares a quantity to exactly one of another quantity.

Answer:

V=72 cm³

Step-by-step explanation:

V=3 cm*3 cm*8 cm

V=72 cm³

Answer: $229.62

Step-by-step explanation:

mark down 11 %= (1-11%)

original price × percent left after mark down=new price

 258.00 × (1-11%)= $229.62

Hope this helps!! :)

Please let me know if you have any question

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

l = 12m

w = 400 cm

First we must convert the length from meters to centimeters

1 m = 100 cm

12 m = 12 × 100 = 1200 cm

So l = 1200 cm

Substitute the values into the above formula

We have

Perimeter = 2(1200) + 2(400)

= 2400 + 800

We have the final answer as

Hope this helps you

Answer:

C (6*2)

Step-by-step explanation:

Answer:

6 times 2

Step-by-step explanation:

Im not completely confident though so check other answers

Answer:

Euh t years old means ?

Step-by-step explanation:

i don't get it

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (4,-2) and ( -1, 10)

The distance between them is

[tex]d = \sqrt{ ({4 + 1})^{2} + ({ - 2 - 10})^{2} } \\ = \sqrt{ {5}^{2} + ({ - 12})^{2} } \\ = \sqrt{25 + 144} \\ = \sqrt{169} [/tex]

We have the final answer as

Hope this helps you

Answer:

-3x+7=-17  x=8

Step-by-step explanation:

-3*8+7=-17

Answer:

$60.30

Step-by-step explanation:

0.45 x 134 = $60.30

Answer:

x=4

Step-by-step explanation:

RS + ST = RT

5+ 2x-2 = 3x-1

Combine like terms

2x+3 = 3x-1

Subtract 2x from each side

2x+3-2x = 3x-1-2x

3 =x-1

Add 1 to each side

3+1 = x-1+1

4=x

Answer:

The answer is D - cannot be determined

Step-by-step explanation:

Answer:

B. 14.0

Step-by-step explanation:

just took the test

Answer:

False.

Step-by-step explanation:

This is false.

When we carry out the operation -7 + 9, this equals 2.

When we carry out the operation -9 + 7, this equals -2.

Therefore, this is false because of the Commutative Property. It states that

a + b = b + a. Therefore, the equation is only true if both a terms would be negative. It can also apply for b terms.

Answer: The equation is false.

Step-by-step explanation:

So we have this equation here:

-7 + 9 = -9 +7

This equation may look like the Commutative Property, but be CAREFUL! It is NOT the Commutative Property because the Commutative Property has the same numbers, not different numbers.

Here is an example of the Commutative Property:

7 - 8 = -8 + 7

5 + 6 = 6 + 5

Did you notice that if there is a negative sign, when it switches (or commutes) the number keeps the negative sign?

Well if this is the case, then let's apply it to this problem.

-7 + 9 = -9 + 7

-7 and 7 are two different numbers, as are -9 and 9

So it is not the same thing as:

-7 + 9 = 9 - 7

Notice that 7 keeps the negative sign.

Even if we solve this problem, it is false.

-7 + 9 = -9 + 7

2 = -2 is not a equality! 2 and -2 are NOT the same.

Therefore, the equation is false!

Answer:

50 Minutes

Step-by-step explanation:

For the empty tank to hold the same amount of water, we can simply take the total water of the full tank divided by the rate, divided by two to allow both tanks to be equal, aka, half.

500 L / 5 L per minute / 2

100 minutes / 2

50 minutes.

For both tanks to have the same amount of water, 250L, it would take 50 minutes with a flow rate of 5L per minutes.

Cheers.

Answer: -3 and 5

Step-by-step explanation:

good luck!

Answer:

= (6×25)

= 150 - (27÷9)

= 150 - 3

= 147

Answer:

163

Step-by-step explanation:

Answer:

The answer is 3

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-5x-10=10

add 10 to -10 to get rid of it, and to 10 because whatever you do to one side, you have to do to the other

-5x=20

divide -5 into 20

x = -4

Answer:

the total will be $27.31

15 percent tip is $3.56

Step-by-step explanation:

Answer:

11/6 as an  improper fraction

Step-by-step explanation:

1 5/6 is 11/6 as an importer fraction and 1.86 as a decimal  

Answer:

4t

Step-by-step explanation:

All we are doing is combining like terms and since all of then have a "t" in it we would just add the 4 "t's" together like normal addition.

Answer

5

Step-by-step explanation:

First you do whats in the parentheses

So it will look like this

14a+16=86 now you want to get 14a by itself so -16 from 86

then you get 14a=70

now divide 14a from 70 and your answer is 5

a=5

Answer:25.7

Step-by-step explanation:

Answer:

Ted is 6 years old

Leon is 7 years old

Andrew is 8 years old

Step-by-step explanation:

Ted+Leon=13 ⇒T+L=13 ⇒L=13-T

Leon+Andrew=15 ⇒L+A=15 ⇒A=15-L ⇒A=15-(13-T) because Leon =13-Ted

A=2+T

Ted+Andrew=14

T+A=14  ( substitute Andrew age from A=2+T)

T+2+T=14

2T=12

check: Ted+Leon=13 ⇒ 6+7=13

Leon + Andrew=15 ⇒7+8=15

Andrew+Ted=14 ⇒ 6+8=14

Answer:

factors are 5, 6, a, 11, b

Step-by-step explanation:

3)   5 + 6a + 11b

Algebraic expressions: 5 + 6a + 11b

Are combinations of numbers, variables, and at least one arithmetic.

Term are: 5, 6a, 11b

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).

Factors are: 5, 6, a, 11, b

Something which is multiplied by something else. A factor can be a variable, number,  a term, or a longer expression.

Coefficient: 6, 11

The numerical factor of a multiplication expression that contains a variable.

Constant: 5

A number that cannot change its value.

4).  13m-2n​ (note: it applies as above)

Answer:

[tex] \frac{3}{20} [/tex]

Step-by-step explanation:

[tex] \frac{3}{5} \times \frac{1}{4} [/tex]

[tex] = \frac{3 \times 1}{5 \times 4} [/tex]

Simplify

[tex] = \frac{3}{20} [/tex]

If you have any more questions please let me know.

Answer:

[tex]$\large\boxed{\frac{3}{20} = 0.15} $[/tex]

Step-by-step explanation:

[tex]$\frac{3}{5} \cdot \frac{1}{4} = \frac{3 \cdot 1}{5 \cdot 4}=\frac{3}{20} = 0.15 $[/tex]

5.424 ≈ 5.420

5.424

↓4 = Tenth

   ↓2 = Hundredth

      ↓4 = Thousandth

The value of number after rounded to the nearest hundredth is, 5.42

In rounding a number into the nearest hundredth,

We look at the tenths place digit, If tenths place digit is 0, 1, 2, 3 or 4,

Then the number rounded to previous hundredth,

While, if the tenths place digit is 5, 6, 7, 8 or 9,

Then the number is rounded to next hundredth,

Here, the given number is,

⇒ 5.424

Here, Tenths place digit = 2,

Hence, it would be rounded to previous hundred,

Which is, 5.424 ≈ 5.42

Learn more about the rounding number visit:

brainly.com/question/27207159

#SPJ6

Answer: v = 793.77 mph

Step-by-step explanation: Linear speed of a circular movement is calculated by using the formula:

v = ω.r

where

ω is angular velocity

r is radius of the path

Angular velocity is the rate of change of the angular position of an object with respect of time, i.e., is how fast an object changes its angular position with time:

[tex]\omega = \frac{d \theta}{dt}[/tex]

[tex]\omega = \frac{2\pi}{time}[/tex]

The Earth takes 24 hours to complete a rotation, then angular velocity:

[tex]\omega = \frac{2\pi}{24}[/tex]

[tex]\omega =[/tex] 0.262 rad/h

At a location 40° north, radius is 3033.5 miles, so:

v = 0.262*3033.5

v = 793.77

At latitude of 40°north, linear speed is 793.77mph.

Answer:

The length of the arc is [tex]\frac{5\pi}{3}[/tex] centimeters.

Step-by-step explanation:

The length of an arc ([tex]\Delta s[/tex]) with a given central angle is determined by the following expression:

[tex]\Delta s = \frac{\theta}{360^{\circ}}\cdot 2\pi\cdot r[/tex]

Where:

[tex]r[/tex] - Radius, measured in centimeters.

[tex]\theta[/tex] - Central angle, measured in sexagesimal degrees.

Given that [tex]r = 5\,cm[/tex] and [tex]\theta = 60^{\circ}[/tex], then:

[tex]\Delta s = \frac{60^{\circ}}{360^{\circ}} \times 2\pi \times 5\,cm[/tex]

[tex]\Delta s = \frac{5\pi}{3}\,cm[/tex]

The length of the arc is [tex]\frac{5\pi}{3}[/tex] centimeters.