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weqwewe [10]
4 years ago
15

Pls help I dont get it​

Mathematics
1 answer:
iragen [17]4 years ago
8 0

Answer:

y=4x

Step-by-step explanation:

The equation of a line is y=mx+b, where m is the slope and b is the y intercept.

The slope formula is Δy/Δx, so using the coordinates (1, 4) and (2, 8), the slope is \frac{8-4}{2-1} which equals 4.

The y intercept is 0.

Therefore, the equation is y=4x.

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An airplane has a maximum capacity of 118 passengers. The flight attendant has loaded 40 passengers. Which inequality represents
o-na [289]

C) p ≤ 78

I got 78 by subtracting 118 by 40. Since we know the maximum is 118 we can't get any higher than 78 so it has to be equal or less than.  

8 0
3 years ago
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using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)
Gwar [14]

Step-by-step explanation:

the intersection of the interval: (-∞, 7) and [-5, +∞)

is [-5, 7)

and the union of the interval: (-∞, 7) and [-5, +∞)

is (-oo, +oo)

7 0
3 years ago
What is the sum of the interior angles of an octagon?<br> 720°<br> O 900°<br> 1,080°<br> 1,260°
timofeeve [1]

Answer:

1080

Step-by-step explanation:

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1080 degrees (from above)... And there are eight angles... So, the measure of the interior angle of a regular octagon is 135 degrees

7 0
3 years ago
Read 2 more answers
An angle measured 10 degrees less than the measure of its complementary angle. Find the measure of both angles
Mazyrski [523]

Answer:

The measure of the angles are 40 degrees and 50 degrees

Step-by-step explanation:

Let

x ----> the measure of one angle in degrees

y ----> the measure of the complementary angle in degrees

we know that

If two angles are complementary, then their sum is equal to 90 degrees

so

x+y=90 ----> equation A

we have that

x=y-10 ----> equation B

Substitute equation B in equation A and solve for y

(y-10)+y=90\\2y-10=90\\2y=100\\y=50

Find the value of x

x=50-10=40

therefore

The measure of the angles are 40 degrees and 50 degrees

3 0
3 years ago
A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco
bekas [8.4K]

answer:

f(t) = -9.9788169(t -0.76)^2 +57

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the  number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is f(x)= a(x-p)^2 +q  , where (p,q) is the turning point. now we substitute the turning point

f(t) = a(t-0.76)^2 + 57, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

-57 =a(2.39)^2  

-57 = a(5.7121)

-57/5.7121 =a

-9.9788169 = a      then we substitute a to get the quadratic equation therefore f is

f(t) = -9.9788169(t-0.76)^2 +57

4 0
3 years ago
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