What is the y-intercept of y = -2x+6

Answer:

(3x-4) by (3x+2) or (-3x+4) by (-3x-2)

Step-by-step explanation:

To factor 9x^2-6x-8 we want to find the factors of 9 and the factors of -8 that when multiplied in sequence and then added give us -6.

factors of -8:

-8 & 1

8  & -1

-4  & 2

4  & -2

you might also want to remember that these can be flipped, so if you have -8 & 1 you can also have 1 &-8.

factors of 9:

9  &  1

-9  & -1

3  &  3

-3  &  -3

So now we just need to find numbers where

a & b are factors of 9 and c & d are factors of -8 and a*c+b*d=-6,

if that is the case then (ax+c)*(bx+d)=9x^2-6x-8

guess: 3 & 3 and -4 & 2

3*(-4) + 3*2=-12 +6 = -6

so one factoring is (3x-4)*(3x+2)

This means that one of the possible dimensions of the blanket is (3x-4) by (3x+2)

guess: -3 & -3 and 4 & -2

(-3)*4+(-3)*(-2)= -12+6 = -6

so another factoring is (-3x+4)*(-3x-2)

So you could also have a blanket with dimensions (-3x+4) by (-3x-2) but this might not make sense to do because, if you input positive numbers for x you will get negative dimensions which in the real world don't exist for a knitted blanket.

p.s sorry for the late response.

Answer:

20

Step-by-step explanation:

Answer: The answer would be the second choice where triangle RQS is congruent to triangle TVU.

Step-by-step explanation: In both triangles, look at the locations of the congruent sides that’s shown by different tick marks. Side RQ is congruent to side TV. Side QS is congruent to side VU. Side RS is congruent to side TU.

Answer:

B

Step-by-step explanation:

We are given a circle whose diameter has endpoints (-3, 6) and (5, -2).

And we want to equation of the circle in standard form.

First, let's determine the center of the circle. Since we are given the diameter, the center will be the midpoint of the diameter. The midpoint is given by:

[tex]\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_1}{2}\Big)[/tex]

By substitution:

[tex]\displaystyle M=\Big(\frac{(-3)+(5)}{2},\frac{(6)+(-2)}{2}\Big)[/tex]

Evaluate:

[tex]\displaystyle M=(1, 2)[/tex]

Thus, the center of our circle is (1, 2).

Next, we need to find the radius of our circle. We can use the distance formula to find the diameter, and then divide that by two to find the radius. The distance formula is given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Let (-3, 6) be (x₁, y₁) and (5, -2) be (x₂, y₂). Substitute:

[tex]d=\sqrt{(-3-5)^2+(6-(-2))^2}[/tex]

Evaluate:

[tex]\begin{aligned} d&= \sqrt{(-8)^2+(8)^2}\\&=\sqrt{64+64}\\&=\sqrt{2(64)}\\&=8\sqrt{2}}\end{aligned}[/tex]

Therefore, the radius will be:

[tex]\displaystyle r=\frac{8\sqrt{2}}{2}=4\sqrt{2}[/tex]

The equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center.

By substituting everything in, we acquire:

[tex](x-(1))^2+(y-(2))^2=(4\sqrt{2})^2[/tex]

Simplify:

[tex](x-1)^2+(y-2)^2=32[/tex]

Therefore, our answer is B.

Answer:

2x+4y-12

Step-by-step explanation:

2x+4y-12

Step-by-step explanation:

2(x+2y-6)

2x+4y-12

Hope it helps you

Answer:

The total cost would be: $62.14

Step-by-step explanation:

First convert the percent to a decimal, so since it is 4%, you move the decimal two places to the right, so it would be .04.

Next, multiply $59.75 x .04%.  This equals $2.39.

Then, take the product and add it to $59.75. So, $59.75 + $2.39.

This equals $62.14!

Answer:

231.07 in^2

Step-by-step explanation:

The radius of the semicircle is 14/2 = 7 in

22x14 - 3.14x(7^2)/2 = 231.07 in^2

Answer: 231.07 m^2

Step-by-step explanation:

Area of the remaining paperboard = Area of the entire paperboard - Area of semicircle

1. area of paperboard = l*b = 22*14 = 308 m^2

2. area of semi circle = 1/2 pi r^2 = 1/2*3.14*49/2

Therefore, area of remaining paperboard = 231.07 m^2

Answer:

Answer to Question 1: 2.3 miles per gallon

Answer to Question 2: x = 2.371

Step-by-step explanation:

Question 1 (explanation): 36.8 (miles on one tank of gas) / 16 (gallons of gas that Fred's car hold) = 2.3 (miles that Fred's car can travel per gallon)

Question 2 (explanation): 11.001 - 8.63 = 2.371

I hope this helps :)

Answer:

c

Step-by-step explanation:

liquid

Answer:

Check pdf

Step-by-step explanation:

Answer:

a number of girls bought red green yellow is 6

Answer:

I'm not sure but from my calculations,it is 400

Answer:

400

Step-by-step explanation:

In order to find out a percentage of something you divide the percent by 100 (12/100) to get a decimal, which would be 0.12. Now with this we already know 12% of something is 48 and in order to find what we took 12% from we divide 48 by 0.12.

48÷0.12 or 48/0.12 = 400

Answer:

42% i hope its right if not sorry

Step-by-step explanation:

Answer:

[tex] \frac{6}{24} \: or \: 0.25 \: or 25\%[/tex]

Step-by-step explanation:

First add them all up to get the total amount of seats.

6+10+8=24

there are 6 seats in the front row. so that means it will be

[tex] \frac{6}{24} [/tex]

24÷6=0.25

0.25×100=25%

Probability can be answered with a fraction, decimal or a percentage, they are all correct.

Answer:

D) 21

Step-by-step explanation:

y= -7/12× -36

or, y= -7×-3

or, y= 21

Answer:

D

Step-by-step explanation:

Given

[tex]\frac{-7}{12}[/tex] = [tex]\frac{y}{-36}[/tex] ( cross- multiply )

12y = 252 ( divide both sides by 12 )

y = 21 → D

Find the difference between the existing terms:

-8 / -4 = 2

-16/-8 = 2

This means the next term is the previous term multiplied by 2:

The first term is given as -4

You would start with the first term ( -4) then multiply it by the difference of terms ( 2)  raised to the nth term (n) minus 1.

An = -4 * 2^n-1

The answer is A

Answer:

The terms are 25x and 7

Step-by-step explanation:

Answer:

I've attached a pic how the graph will look like

Answered by GAUTHMATH

Answer:

C. 40

Step-by-step explanation:

Answer:

The answer is 40 degree that measure the angle DBE

Step-by-step explanation:

{(163²)²} × (0.045701-12/2×3.357470126)

4330747×-20.0991198

8.70

Answer:

Step-by-step explanation:

90

Answer:

it's 2/5 (0.4)

Step-by-step explanation:

y-y1

-------

x-x1

8-6

----

9-4

2

--

5 = 2/5 =0.4

Step-by-step explanation:

Breadth = 8m

Length = 8m + 4m = 12m

Area of the rectangle = length × breadth, 12m × 8m = 96m square.

Answer:

We have a bonus of £3150

40% is divided between 3 managers, so if

100% = £3150

40% = X

Now we can solve this for X by taking the quotient of these two equations:

(100%/40%) = (£3150/X)

Then:

X = £3150*(40%/100%) = £1260

Then each one of the 3 managers gets:

£1260/3 = £420

Each manager gets £420

The other £3150 - £1260 = £1890

are divided between 12 salespeople, then each one gets:

£1890/13 = £157.5

Each one of the salespersons will get £157.5

Now there is the case where we divide the £3150 evenly between the 15 workers.

We get:

£3150/15 = £210

Each worker gets £210.

Notice that before, each salesperson gets £157.5 and in this case, each salesperson gets £210.

Then the statement:

"If the bonus is shared equally between all 15 people I will double the money."

Is false.

Answer:

x = 60

Step-by-step explanation:

By applying mean ratio theorem in the given right triangles ΔABC and ΔBDC,

[tex]\frac{AD}{BD}=\frac{BD}{DC}[/tex]

BD² = AD × DC

BD² = 36 × 64

BD = [tex]\sqrt{36\times 64}[/tex]

BD = 48

By applying Pythagoras theorem in right triangle ΔADB,

AB² = AD² + BD²

x² = (48)² + (36)²

x² = 3600

x = 60

Answer:

6

Step-by-step explanation:

Answer:

p=1/4

Step-by-step explanation:

I got you girly don't worry!

Answer:

.25

Step-by-step explanation:

4(p+5)=21

distribute

4p+20=21

    -20   -20

Bring down numbers

    4p  =     1

        divide 1 by  4

=0.25

Answer:

This is your answer ☺️☺️☺️

Answer:

42 cups of chips

Step-by-step explanation: