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3 years ago

A shelf is in the shape of a triangle. Find the angles of the triangle if the measures of the angle are in the ratio x:x:4x

Mathematics

1 answer:

user100 [1]3 years ago

8 0

First x equals 30
Second x equals 30 aswell
The last x equals 120

Asw: 30°, 30°, 120°

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What is the x-intercept of the line that passes though the point (5, 3) with a slope of - 2/5?

lukranit [14]

Point/Slope Form of an equation!

(5,3)

slope of -2/5

x= 5
y = 3

y - y1 = m(x-x1)

y - 3 = -2/5(x-5)

y - 3 = -2/5x + 2

y = -2/5x + 5

x intercept of 5

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3 years ago

Y=4x+7 y=-3x alive by graphing

Allisa [31]

Not sure what alive by graphing means, but these are the equations on a graph. Red is y=4x+7 and blue is y=-3x.
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3 years ago

write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,-5)

gladu [14]

Find midpoint of segment.
(-1,1), (7,-5)
$x= \frac{-1+7}{2}=3,y= \frac{1+(-5)}{2}=-2$

Find slope of line which passes through (-1,1) and (7,-5).
$m= \frac{-5-1}{7-(-1)}= \frac{-6}{8}=- \frac{3}{4}$

The slope of perpendicular line is negative reciprocal value of m.
$m_{\perp}=- \frac{1}{m} =- \frac{1}{- \frac{3}{4} } = \frac{4}{3}$

Write quation of line which slope is $\frac{4}{3}$ and passes throug the point (3,-2).
$m=\frac{4}{3},x_1=3,y_1=-2
\\y-y_1=m(x-x_1)
\\
\\y-(-2)=\frac{4}{3}(x-3)
\\
\\y+2=\frac{4}{3}x-\frac{8}{3}
\\
\\3y+6=4x-8
\\4x-3y-14=0$

3 0

3 years ago

Someone please explain (:

GaryK [48]

Answer:

a.) 1.38 seconds

b.) 17.59ft

Step-by-step explanation:

h(t) = -16t^2 + 22.08t + 6

if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.

to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex

-b/2a

b=22.08

a=-16

-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds

now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.

h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.

approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.

for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.

7 0

3 years ago

Read 2 more answers

If F(x) = x - 5 and G(x) = x2, what is G(F(x))?

vlada-n [284]

Answer:

here is the answer

Step-by-step explanation:

hope it helps

3 0

3 years ago