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3 years ago

Slope 8 ; through (4,3)

1 answer:

3 0

I'm assuming you need to find the equation of that line. If that's not what you need, you can stop here, because that's what I'm going to calculate.

When we're working with the equation of a line, we know it's easy to work with if it's in the form of a "slope / intercept" equation.

That's Y = (slope) · x + (y-axis intercept)

We already know the slope of this line, because the question gave it to us. The slope is ' 8 ' . So we know the equation will be Y = 8x + (y-intercept) .

OK. We also know a point on the line ... (4, 3).

That tells us: When x=4 on this line, y=3 .

Take the equation, and put this point into it.

Y = 8x + (y-intercept)

(3) = 8(4) + y-intercept

3 = 32 + y-intercept

Subtract 32 from each side:

-29 = y-intercept

So the equation of the line is: Y = 8x - 29

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Diagram I shows a triangle with a foot length of 4ycm and a height (y +5). Figure 2 shows a square with a length of y cm. Given

elixir [45]

Answer:

Area of equilateral triangle:36cm

Square area:12cm

Step-by-step explanation:

We need to find the corresponding relationship, it is not difficult to find that this is a simple quadratic function problem.

I used pictures to express the process. You can click to view. I'm not English either. I'm Chinese, but I believe that academics know no boundaries.

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3 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Hatshy [7]

Answer:

The change in the area of the rectangle is 0 square feet

Step-by-step explanation:

To solve this problem we have to calculate the area of the two rectangles that give us

first we have to know the formula to calculate the area of a rectangle

a = area

l = length = 12ft

w = width = 5ft

a = l * w

we replace the known walues

a = 12ft * 5ft

a = 60ft²

we do the same with the other rectangle, but first we have to calculate its sides

w = 5ft - (5ft * 20/100)

w = 5ft - 1ft

w = 4ft

l = 12ft + (12ft * 25/100)

l = 12ft + 3ft

l = 15ft

a2 = 15ft * 4ft

a2 = 60ft²

to calculate the change in the area we subtract (a - a2)

a - a2 =

60ft² - 60ft² = 0ft²

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3 years ago

Solve: -4x-8x+17=23 check solution

Sveta_85 [38]

Answer:

x = -1/2

Step-by-step explanation:

To solve the equation, we first need to combine like terms:

$-12x+17=23$

Simplify further:

$-12x=6$

Divide by -12 on both sides to get:

$x = -\frac{1}{2}$

To check the solution, plug x back into the original equation and check if we get the correct answer:

$-4(-\frac{1}{2})-8(-\frac{1}{2})+17=23$

$2+4+17= 23$

$23=23$

Thus, it checks out and our answer is correct.

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3 years ago

A city block is a square with each side measuring 98 yards. Find the length of the diagonal of the city block.

vlabodo [156]

To find the answer to this, we can use the formula for the diagonal of a square,

a $\sqrt{2}$ , with a being the length of the side. That meaans that the length of the diagonal is 98 $\sqrt{2}$ , which is approximately equal to 138.59.

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3 years ago

Explain how the energy of a toy car is transformed as it slides down a ramp. Give evidence that the energy of the car remains th

yaroslaw [1]

At the top of a ramp, all of the energy of the car is potential: that is, it has yet to be moved but has the ability to move. As the car is sliding down the ramp, the potential energy is being transformed into kinetic energy, which reaches a maximum at halfway down the ramp. After this point, the kinetic energy begins to lessen and the potential energy begins to increase, until the car comes to a full stop, at which point kinetic energy is at zero and the potential energy is again at a maximum.

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3 years ago

Read 2 more answers

Slope 8 ​; through ​(4​,3​)

Slope 8 ; through (4,3)