Answer:
5x-4y = -32
Step-by-step explanation:
First write the equation in point slope form
y-y1 = m(x-x1)
y - -2 = 5/4 ( x- -8)
y+2 = 5/4 (x+8)
Multiply each side by 4 to clear the fraction
4( y+2 )= 4*5/4 (x+8)
4y +8 = 5(x+8)
4y+8 = 5x+40
Subtract 4y from each side
8 = 5x-4y +40
Subtract 40 from each side
-32 = 5x-4y
5x-4y = -32
Answer:
The answer is
5x - 4y = -32Step-by-step explanation:
To write an equation of a line given a point and slope use the formula
y - y1 = m( x - x1)
where
m is the slope
( x1 , y1) is the point
From the question
slope = 5/4
point (-8 , -2)
So the equation of the line is
[tex]y + 2 = \frac{5}{4} (x + 8)[/tex]Multiply through by 4
4y + 8 = 5( x + 8)
4y + 8 = 5x + 40
5x - 4y = 8 - 40
We have the final answer as
5x - 4y = -32Hope this helps you
A sandwich shop offers a choice of 5 types of bread, 4 types of meat, and 3 types of cheese. How many different sandwiches could be made with 1 type of bread, 1 type of meat, and 1 type of cheese?
Answer:
12 type of bread 1 type of meat, 1 type of cheese and 1 type of bread.☺️☺️
1/5√75 -10√1/2+√125-2√1/2
Answer:6.91239069507
Step-by-step explanation:
Solve each system of equations 4x+6y=3 and -10x-15y=-4
Answer:
There is no solution
Step-by-step explanation:
they all subtract eachother out
A combination lock uses three numbers between 1 and 46 with repetition, and they must be selected in the correct sequence. Is the name of "combination lock" appropriate? Why or why not? Choose the correct answer below. A. No, because the multiplication counting rule would be used to determine the total number of combinations. B. Yes, because the combinations rule would be used to determine the total number of combinations. C. No, because factorials would be used to determine the total number of combinations. D. No, because the permutations rule would be used to determine the total number of combinations.
The correct answer is D. No because the permutations rule would be used to determine the total number of combinations.
Explanation:
The difference between a combination and a permutation is that in permutations the order is considered. This applies to the numbers in a lock because these need to be in order. Therefore, to analyze the permutations in a lock, the rule for permutations should be used. This includes the general formula P (n,r) =[tex]\frac{n!}{(n-r) !}[/tex]; in this, n is the number of objects and r refers to the objects used in a permutation. Thus, the term "combination" is inappropriate because this is a permutation, and the permutation rule should be used.
a lone segment has ______ endpoints.
1) three
2)two
3)zero
4)one
Answer:
2) twoStep-by-step explanation:
A line segment forms when it has two end points
Answer:
Two
Step-by-step explanation:
A segment has two endpoints, since it is not connected to anything. Hopefully this image can help you understand the types of lines there are in mathematics.
Hope this helped.
Identify the rate of change and term 0
1. 3, 5, 7, 9, 11, 13, 15....
Answer:
-1
mark me brainliest
Find the value of x.
Answer:
[tex]\textsf{x=22.5}[/tex]
Step-by-step explanation:
[tex]\textsf{According to intersecting tangent - secant theorem,}[/tex]
[tex]\textsf{x=1/2[(4x+5)-50]}[/tex]
[tex]\textsf{2(x)=4x+5-50}[/tex]
[tex]\textsf{2x=4x-45}[/tex]
[tex]\textsf{2x-4x=-45}[/tex]
[tex]\textsf{-2x=-45}[/tex]
[tex]\textsf{x= -45/-2}[/tex]
[tex]\textsf{x=22.5}[/tex]
[tex]\textsf{OAmalOHopeO}[/tex]
The function f(x) = -(x - 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a
function of the length of the rectangle, x. What is the maximum area of the rectangle?
3 square units
6 square units
9 square units
12 square units
Answer:
9 square units
Step-by-step explanation:
The function f(x) describes a parabola opening downward, with a vertex at (3, 9). The maximum value of f(x) is found at the vertex, where it is f(3) = 9.
The maximum area is 9 square units.
Answer:
9 c
Step-by-step explanation:
46°
Х
>
X =
degrees
Hshshshsus
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
⇛ x = 90° + 46°
⇛ x = 136°
(2.75 x 107) + (1.23 x 108) simplify
Answer:
427.09
Step-by-step explanation:
(2.75 x 107) + (1.23 x 108)
294.25 + 132.84 = 427.09
HELP NOW - Please help me
100 POINTS
Answer:
SAS
43ft
Step-by-step explanation:
We know that two sides are equal
PQ = ST and QR = TU and the angle between them is equal Q = T
We can use the SAS (side angle side)
Since the triangles are congruent
PR = SU
6y+5 = 8y
Subtract 6y from each side
6y+5-6y = 8y-6y
5 = 2y
Divide by 2
5/2 = y
2.5 = y
PR = ST = 8y = 8(2.5) =20
The perimeter is 9+14+20 = 43
Answer:
B. =35ft
Step-by-step explanation:
The perimeter of a right angled triangle is a+b+c
which is 9+4+6y+5 =90
collect like terms
9+4+5+6y=90
18 + 6y = 90
6y = 90 - 18
6y= 72
divide both sides by 6
6y/6 = 72/6
y = 12
so therefore, the perimeter of ∆PQR is
9 + 12 + 14
= 35ft
PLEASE HELP MEEE How can a company use a scatter plot to make future sale decisions
Answer:
by tracking data of how much money was made on one product in a certain amount of time
Step-by-step explanation:
PLEASE HELP, GIVING 55 POINTS IF YOU ANSWER (08.03/08.05 MC) A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)
Answer:
A. (1, -2)
B. the lines intersect at the solution point: (1, -2).
Step-by-step explanation:
A. The equations can be solve by substitution by using the y-expression provided by one of them to substitute for y in the other.
This gives ...
3x -5 = 6x -8
Adding 8-3x to both sides, we get ...
3 = 3x
Dividing both sides by 3 gives ...
1 = x
Substituting this value into the first equation, we can find y:
y = 3(1) -5 = -2
The solution is (x, y) = (1, -2).
__
B. The lines intersect at the solution point, the point that satisfies both equations simultaneously. That point is (1, -2).
Adams Company revenues are $500 on invested capital of $250. Expenses are currently 60% of sales. If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be _____.
Answer:
100%
Step-by-step explanation:
The formula to calculate the return on investment is:
ROI=(Net Profit/Total Investment)*100
Net profit=Revenues-expenses=500-(500*0.6)=500-300=200
Total investment=250-(250*0.2)=250-50=200
Now, you can replace the values:
ROI= (200/200)*100
ROI= 100%
According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.
Bryan decides he wants to help pay for a birthday party for his little brother at the ice rink. It cost $50 to rent the party room and then $4 for each person attending. Bryan only has $100 to spend at the party. a) What are the constraints for this situation? b) Find the domain and range for this situation. Make sure you include all values for each using correct notation.
Answer:
a) 4*x + 50 ≤ 100
b) Domain x (0 ; 12 ) Range f(x) ( 50 ; 98 )
Step-by-step explanation:
The constraint is:
4*x + 50 ≤ 100 where "x" is the number of persons
b) Domain for x
x = 0 up to x = 12 x (0 ; 12 )
c) Range for f(x)
f(x) = 4*x + 50
f(0) = 4*0 + 50 f(0) = 50
f(12) = 4*12 + 50 f (12) = 98
f(x) ( 50 ; 98 )
find LCM of 60,40 and 90
Answer:
Step-by-step explanation:
Prime factorize.
60 = 2 *2 * 3 * 5 = 2² * 3 * 5
40 = 2 * 2 * 2 *5 = 2³ * 5
90 = 2 * 3 * 3 * 5 = 2 * 3² * 5
LCM = 2³ * 3² * 5 = 8 * 9 * 5 = 360
Please give me the correct answer
Answer:
Height = 15Step-by-step explanation:
[tex]Volume = 392.5\\r = 5\\h =?\\\\V= \frac{1}{3} \pi r^2 h\\\\392.5 = \frac{1}{3} \times 3.14 \times 5^2 \times h\\\\392.5 = \frac{78.5h}{3} \\\\392.5 = 26.16h\\\\\frac{392.5}{26.16} =\frac{26.16h}{26.16} \\\\h = 15.00[/tex]
Answer:
h=15 in
Step-by-step explanation:
V=πr²(h/3)
h=3v/πr²
h=[3(392.5)]/[3.14(5)²]
h= 15 in
(x^2+12x+36)-(x-1)^2
x^2-4xy+4y^2
16x^2-8x+1
x^2+4x+4
4x^2+12xy+9y^2
x^2-8x-16
4x^2-16
x^2-1
x^2+6x+9
9x^2-25y^4
16x^2-8x+1
Answer:
Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)
Step-by-step explanation:
the work in an office takes 180 hours to complete every work
each person in the office works for 35 hours a week
what is the smallest number of people needed to complete the work?
Answer:
Minimum People required = 5
Step-by-step explanation:
Total hours required to complete the work every week = 150 hrs.
Number of hours worked per week by one person = 32 hr
∴ Number of people required to complete the work per week = Total number of hrs to complete the work ÷ No of hrs work per person
∴ Number of people = 150 ÷ 32
∴ Number of people = 4.6875
This is the minimum number of people. But no of people cannot be a fraction.
Thus, rounding the number to next integer.
∴ Smallest number of people needed to complete the work = 5
Prime factorization of 797 method also
Answer:
Prime factorization: 797 is prime. The exponent of prime number 797 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 797 has exactly 2 factors
Compute the value of each expression: −4|−3−3|
Answer:-24
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
−4|−3−3|
First find the value inside the absolute value
−4|-6|
Absolute value means take the non-negative value
-4 * 6
Multiply
-24
Evaluate the following expression.
28 – 10 – 15 = 3 =
and this is the order of operations
Answer:
28 - 10 - 15 - 3
=> 18 - 15 - 3
=> 3 - 3
=> 0
Another way:
=> 28 - 10 - 15 - 3
=> 28 - 25 - 3
=> 28 - 28
=> 0
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 6 in this number.
672,180
Six hundred thousand
Hope it helps :)
help me with the picture please
=====================================================
Explanation:
Refer to the diagram below. I've drawn diagonal that slopes upward. This diagonal cuts the quadrilateral into two triangles: One is equilateral and the other is isosceles.
The equilateral triangle marked in blue has all three angles 60 degrees each.
Note that the 60 and y angles combined to form 130, so,
60+y = 130
y = 130-60
y = 70
Then focus on the isosceles triangle (angles y, w and w). These three interior angles must add to 180
y+w+w = 180
70+2w = 180
2w = 180-70
2w = 110
w = 110/2
w = 55
This adds onto its adjacent neighbor of 60 to get w+60 = 55+60 = 115 degrees which is the value of x.
complete the first 4 steps for graphing the quadratic function given.
y= -x^2 -4x -3
ty<3
To be honest, I'm not sure which four steps your teacher is referring to. However, I'll show you one way to graph this.
A graph is simply a collection of points. Often those points are connected in some way (though they don't necessarily have to be) to form a curve.
Each point is of the form (x,y). To get each point, we pick random x values and determine their paired y value counterpart.
For example, if we pick x = -3, then,
y= -x^2 -4x -3
y= -(-3)^2 -4(-3) -3
y = -9 - 4(-3) - 3
y = -9 + 12 - 3
y = 0
This indicates that (-3, 0) is one point on the curve.
Let's repeat for x = -2
y= -x^2 -4x -3
y= -(-2)^2 -4(-2) -3
y = -4 - 4(-2) - 3
y = -4 + 8 - 3
y = 1
So (-2, 1) is another point on the curve.
Repeat this process as many times as you want. You should do at least 3 or 4 points in my opinion. The more points you generate, the more accurate the curve. After generating the points, you'll plot them all on the same xy grid. Then finally draw a curve through all of the points as shown below.
I used GeoGebra to make the graph.
A graph of a system of equation with different slopes will have no solution ?
Answer:
Step-by-step explanation:
If we are talking slopes, we are talking linear equations, since lines are the only functions with slopes. If the slopes are the same, the lines will be parallel, and that is where we have a case of no solution because parallel lines will never intersect. NEVER EVER. If the slopes are different, eventually the lines will intersect somewhere.
Answer:
Step-by-step explanation:
False. A system with different slopes is actually most likely to have a solution.
The sum of the digits of a two digit number is 10 when the dishes are reversed the number increases by 18 find the original number
Answer:
Step-by-step explanation:
Hello, we can write this number ab where a and b are integer betwen 0 and 9.
For instance, 54, a = 5, b = 4
And then, we can say ab = 10 * a + b.
For instance, 54 = 50 + 4 = 5*10 + 4.
The sum of the digits of a two digit number is 10.
a + b = 10
When the dishes are reversed the number increases by 18.
10b + a = 18 + 10a + b
9b = 18 + 9a
b = 2 + a
We replace in the first equation to get.
a + 2 + a = 10
2a = 10 -2 = 8
a = 4
and then, b = 6
So, the number is 46.
Thank you
Find the length of AD in the figure.
A. √26 units
B. √34 units
C. √122 units
D. √130 units
Answer:
√122
Step-by-step explanation:
To find the distance/length between two points
Use this formula: [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]\sqrt{(1 - 2)^2 + (3 + 8)^2}[/tex]
[tex]\sqrt{(-1)^2 + (11)^2}[/tex]
[tex]\sqrt{1 + 121}[/tex]
[tex]\sqrt{122}[/tex]
I need help please so if you could help that would be nice. Also i will make brainliest
You have a choice to invest in one of three different college funds to save up for college. You need to save at least $14,000 for your first year. In which of the three accounts do you choose to invest your money given that you have $10,000 to invest and you would like to accrue as much interest as possible?
Answer: C) You choose account #2
===================================================
Explanation:
Let's compute the final balance for account 1.
We'll use the compound interest formula
A = P*(1+r/n)^(n*t)
where,
P = principal or amount depositedr = decimal form of the annual interest raten = number of times we compound the interest per yeart = number of yearswhere in this case
P = 10,000r = 0.035 n = 4 t = 10So with all that in mind, we get
A = P*(1+r/n)^(n*t)
A = 10,000*(1+0.035/4)^(4*10)
A = 14,169.0883793113
A = 14,169.09
Account #1 gets us $14,169.09 which is over our goal of $14,000
--------------------------
Let's repeat this idea for account 3. I'll get back to account 2 in the next section.
For account 3, we have these inputs
P = 10,000r = 0.032n = 1t = 10leading to...
A = P*(1+r/n)^(n*t)
A = 10,000*(1+0.032/1)^(1*10)
A = 13,702.4104633564
A = 13,702.41
This isn't larger than 14,000. So we cannot use account 3. The interest rate is too small and needs to be bumped up.
--------------------------
Now let's compute account 2. We'll use the continuously compounded interest formula which is
A = P*e^(rt)
The P, r and t are the same as before. The 'e' is a constant and it's roughly e = 2.718... similar to how pi = 3.14... approximately.
I recommend using the calculator's stored value of 'e' to get as much accuracy as possible.
So,
A = P*e^(rt)
A = 10,000*e^(0.036*10)
A = 14,333.2941456052
A = 14,333.29
This exceeds 14,000 so we can use this account.
Comparing this to account 1's value (14,169.09), we can see that account 2 gets us the most money over the 10 year time period. Not only does account 2 have the higher interest rate, but it also has an infinitely higher compounding frequency as well. These two factors help contribute as to why account 2 beats out account 1.
This is why we should go for account 2.