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lorasvet [3.4K]
3 years ago
9

hey guys! Please help this is an important homework grade and could bring me down a lot. If you help I would appreciate it so mu

ch. If answer is right I will mark you brainliest. Have a good night.

Mathematics
1 answer:
ss7ja [257]3 years ago
8 0

Answer:

y = x - 8

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

Where <em>m</em> = slope and <em>b </em>= y-intercept.

It is stated that the slope of the line is 1.

It is stated that the line includes the point (0, 8)

To find the y-intercept, we can just inverse the slope-intercept form to solve for <em>b</em>.

b =y-mx

We know that the point (8, 0) falls on the line, so that's what we'll use for <em>x</em> and <em>y</em>.

Then, we just have to plug those numbers in, as well as the slope.

b = 0 - (1)(8)

Simplify.

b = 0 - 8

Simplify again.

b = -8

Now, we know that <em>b = -8</em>.

All we have left is to plug the slope and y-intercept into the slope-intercept form.

y = x - 8

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What value should be added to the expression to create a perfect square? x^2 - 20x
boyakko [2]
To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation

-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 = <span> <span> <span> 3.1622776602 </span> </span> </span>
x1 = <span> <span> <span> 13.1622776602 </span>
and don't forget that square root of 10 also equals  </span></span><span><span><span> -3.1622776602 </span> </span> </span>
x2 = 10 -<span> <span> <span> 3.1622776602
x2 = </span></span></span> <span> <span> <span> 6.8377223398 </span> </span> </span>


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3 years ago
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4 years ago
How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from
dexar [7]

Answer:

6.04 km

Step-by-step explanation:

From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.

Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:

\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\  x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards

x = 2400 yards.

The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards

The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km

The distance from the main gate to Manatee Springs = 6.04 km

3 0
3 years ago
A. 2.5<br> b. 20.0<br> c. 400.0<br> d. 406.4
bulgar [2K]
The answer to your question is choice C.
3 0
3 years ago
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