Caleb was building a birdhouse. He needed 2 boards that were each 6 inches long and one board that was 18 inches long. He was then able to cut the boards into pieces to use. What was the total length of the boards that he needed?

Answer: x = 6x/5

Step-by-step explanation:

Answer:

x = 10/3

Step-by-step explanation:

[tex]\frac{x}{2} + \frac{2}{2} = \frac{4x}{5}[/tex]

[tex]\frac{x + 2}{2} = \frac{4x}{5}[/tex]

[tex]x + 2 = \frac{8x}{5}[/tex]

5x + 10 = 8x

10 = 3x

x = 10/3

Transformation involves changing the size and position of a figure.

The new coordinates of the figure is:

[tex]\mathbf{F" = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,0)}[/tex]

The coordinates are given as:

[tex]\mathbf{F = (-9,-9)}[/tex]

[tex]\mathbf{G = (3,-6)}[/tex]

[tex]\mathbf{H = (-3,-9)}[/tex]

When the figure is dilated by 2/3, the new coordinates are:'

[tex]\mathbf{F' =\frac 23 \times (-9,-9) = (-6,-6)}[/tex]

[tex]\mathbf{G' =\frac 23 \times (3,-6) = (2,-4)}[/tex]

[tex]\mathbf{H' =\frac 23 \times (-3,-9) = (-2,-6)}[/tex]

When the figure is further translated up by 6 units, the new coordinates are:

[tex]\mathbf{F" = (-6,-6 + 6) = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,-4 + 6) = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,-6 + 6) = (-2,0)}[/tex]

Hence, the new coordinates are:

[tex]\mathbf{F" = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,0)}[/tex]

Read more about transformation at:

https://brainly.com/question/11707700

Answer:

F is (-6,0) and G is (-2,2) and H is (-2,0) I'm only putting my answer too because the other person said 2,2 and its -2,2

Step-by-step explanation:

Answer:

The measurement of angle PTQ is 40°

Answer:

40

Step-by-step explanation:

2x+16= x+28

(vertical opp. angles)

x=12

PTQ= x+28= 12+28= 40

Hope it will help:)

Answer:

Where is the question?

Step-by-step explanation:

Answer:

Segment

Step-by-step explanation:

It is a segment because it has two endpoints (the Earth and Moon). If it was a ray, it would go on forever in one direction. It doesn't, so the imaginary line is a segment.  

The first image is a segment, the second is a ray.

Hope this helps. :)

Answer:

Segment

Step-by-step explanation:

A ray goes on forever a segment has end points

Answer:

(2a+5)(2a-5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Check the attachment for the diagram.

You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;

tan 35° = opposite/adjacent

tan 35° = AB/BC

tan 35° = AB/100

AB = 100tan35°

AB = 100 * 0.7002

AB = 70.02m

Hence the distance across a lake between A and B is approximately 70m

Answer:

Step-by-step explanation:

Let's solve for a.

ax+3=6

Step 1: Add -3 to both sides.

ax+3+−3=6+−3

ax=3

Step 2: Divide both sides by x.

ax /x = 3 /x

a= 3 /x

Answer:

a= 3 /x

Answer:

ax = 3

Step-by-step explanation:

ax + 3 = 6

Subtract 3 from both sides of the equation

ax = 3

I hope this helps :)

Answer:

A pentagon.

Step-by-step explanation:

The pyramid has  five slanting sides above the base.

The cross-section will be a pentagon.

Answer:

z = 2

Explanation:

5 /2  z − 8 = − 3

5z − 16 = − 6 /

5z= 10

z = 2

Step-by-step explanation:

Answer: 223.8571428571429

Step-by-step explanation:

Math

Answer:

223.857143

I hope this helps!

Answer:

a) T = 25n + 40

b) T = $415

Step-by-step explanation:

The total cost of 'n' kilograms of something can be expressed as 'n' multiplied by the cost, since it is a constant cost per unit. Therefore the price for n kg of potatoes can be expressed as 25n. We are also told that a dozen bananas cost $40, so our expression is the cost of potatoes added to the cost of bananas. So, is we use 'T' for total cost, our expression will look like this:

T = 25n + 40

Now we can use this expression to find the cost of 15kg of potatoes and the same amount of bananas. We can do this by simply substituting the given amount for n:

T = 25(15) + 40

T = 375 + 40

T = $415

The cost of 15kg of potatoes and one dozen bananas is $415.

Hope this helped!

Answer:

d/dx

Step-by-step explanation:

Answer:

5/4

Step-by-step explanation:

Answer with step-by-step explanation:

First of all, we need to calculate how many times the 3 lamps flash in a minute. We can do this by finding their LCM (least common multiple), which is 360. 360 is equivalent to 6 minutes, so that is going to be our test time. Lamp a flashes every 20 seconds, so 360/20 = 18 flashes. Then, 360/45 = 8 flashes. Finally, 360/120 = 3 flashes. 18 + 8 + 3 = 29 flashes per 6 minutes. If so, we multiply 29 by 10, because 60 minutes per hour ÷ 6 minutes = 10. So 29 × 10 = 290 flashes per hour

Hope this helped! (brainliest please)

Answer:

[tex]m=\frac{-4}{5}[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in 2 coordinates into the slope formula to find slope m:

(-3, 1)

(2, -3)

[tex]m=\frac{-3-1}{2-(-3)}[/tex]

[tex]m=\frac{-4}{2+3}[/tex]

[tex]m=\frac{-4}{5}[/tex]

Answer:

4x + (13x–7) = 112°

=> 4x + 13x = 112+7

=> 17x = 119

=> x = 119/17

=> x = 7

Answer:

Their coefficient have the same number but with opposite sign

Step-by-step explanation:

We can tell that the two coefficient will add to zero because they have the same value but opposite signs.

  When two numbers are of the same value but with opposite sign, they add up to zero.

  The given numbers are;

             -2x²   and  2x²

Coefficient is the number before the variable. Here, the variable is x,

            -2x² = -2

               2x² = 2

    -2 + 2  = 0

Answer:

It's A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

brainllest welcomed

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They have you pay a initial amount of $2

Answer:

1 5/7

Step-by-step explanation:

I literally just took the test so yeah

Answer:

I think the answer is 2 3/7. because you are decreasing 1/7.

Step-by-step explanation:

Answer:

0.125

Step-by-step explanation:

Answer:

Option (a).

Step-by-step explanation:

The value of y varies directly with x. It would mean that,

y=kx, where k is constant

When

[tex]y=2\dfrac{4}{7},x=\dfrac{3}{7}\\\\y=\dfrac{18}{7}, x = \dfrac{3}{7}[/tex]

then,

[tex]\dfrac{18}{7}=k\times \dfrac{3}{7}\\\\k=6[/tex]

When x = 27,

[tex]y=6\times \dfrac{2}{7}\\\\y=\dfrac{12}{7}\\\\\text{or}\\\\y=1\dfrac{5}{7}[/tex]

So, the value of y is [tex]1\dfrac{5}{7}[/tex] when x is 27.

Answer:

(8, 0 )

Step-by-step explanation:

Given the 2 equations

y = 8 - x → (1)

y = 5x - 40 → (2)

Substitute y = 5x - 40 into (1)

5x - 40 = 8 - x ( add x to both sides )

6x - 40 = 8 ( add 8 to both sides )

6x = 48 ( divide both sides by 6 )

x = 8

Substitute x = 8 into either of the 2 equations and solve for y

Substituting into (1)

y = 8 - 8 = 0

Solution is (8, 0 )

Answer:

The equation of the parabola is;

(y + 11)^2/120 = (x + 7)^2 + (y-5)^2

Step-by-step explanation:

Here, we are given the focus (-7,5) and the directix y = -11

We proceed to find the equation of the parabola

That would be in the form;

(y- mx - b)^2 /m^2 + 1 = (x- h)^2 + (y-k)^2

Let’s write the directix in the form y = mx + b

This shows that m = 0 and b = -11

Also h = -7 and k = 5

So let’s substitute;

(y + 11)^2 /(-11^2 + 1) = (x+7)^2 + (y-5)^2

= (y + 11)^2/120 = (x + 7)^2 + (y-5)^2

Answer:

★ The answer is down BELOW

EQUATION : (y + 11)^2/120 = (x + 7)^2 + (y-5)^2

Step-by-step explanation:

Hope you have a great day

Answer:

6x-3=9

Step-by-step explanation:

i dont really get what it means by set up an equation but heres what i know-

36 is the perimeter so divide it by 4 to get the length of each side-

36/4=9

now you know that each side is 9, so 6x-3=9

when you solve that, x=2

Answer:

C. Uniform circular motion is when a object travels on a circular path at a constant speed.

Answer:

x=3

Step-by-step explanation:

3(x-2)+x-1=5

3x-6+x-1=5

4x-7=5

4x=12

x=3

Answer:

3

Step-by-step explanation:

3(x-2)+x-1=5

3(x-2)+x=6

3x-6+x=6

3x+x=12

4x=12

x=3