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3 years ago

Write a function, f(x), which has a maximum and a y-intercept of −3.

1 answer:

3 0

Answer: One possible equation could be y = -2x^2 - 3.

The equation that is given would be in the shape of an upside down parabola. It would have a maximum (vertex) at (0, -3).

The point (0, -3) would also be the y-intercept of the graph.

You could change the -2 to any other negative number and the equation would work in your problem.

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A triangle has one acute angle as the complement of the other. find the third angle

Bogdan [553]

Answer: 90 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. Since a triangle has 180 degrees total, the other angle is 90 degrees

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2 years ago

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4/6x - 2/3 = 4 - 8/7x solve

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If point C is the centroid of triangle RST and SD = 21, find SC. show your work.

Dahasolnce [82]

Answer:

SC = 14

Step-by-step explanation:

Point C is the centroid.

Property of centroid: the medians are divided in 2:1 ratio from the vertices.

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3 years ago

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The midpoint of segment QR is M(-2, 9). One end point of segment QR is Q(-8, 12). Find the coordinates of the other endpoint, R.

DanielleElmas [232]

Here,

The midpoint of segment QR is M

m(-2,9) x3=-2,y3=9

Q=(-8,12)x1=-8,y1=12

R=x2,y2

we know that,

$\tt{ m=\dfrac{Q+R}{2} }$ ⠀

So,

x3= $\tt{\dfrac{x1+x2}{2} }$ ⠀

$\tt{-2=\dfrac{-8+x2}{2} }$ ⠀

$\tt{-2×2=-8+x2 }$ ⠀

$\tt{x2=8-4 }$ ⠀

$\tt{x2=4 }$ ⠀

x2=4

now we find the y coordinate y2.

y3= $\tt{\dfrac{y1+y2}{2} }$ ⠀

$\tt{9=\dfrac{12+y2}{2} }$ ⠀

$\tt{9×2=12+y2 }$ ⠀

$\tt{y2=18-12 }$ ⠀

$\tt{y2=6 }$ ⠀

y2=6

Now we get the two coordinate of R

so,

R=(x2,y2)=(4,6)

7 0

2 years ago

What is the equation of a line that is parallel to -3x+4y=4 and passes through the point (4,0)

Andrei [34K]

Answer:

y = 3/4x - 3

Step-by-step explanation:

If you write the equation in slope-intercept form, you will need the slope(m) and the y-intercept(b):

y = mx + b

To solve this, you first need to know the slope of the line in the given equation. In order to do this, change it to slope-intercept form for easy analyzation:

-3x + 4y = 4

= 4y = 3x + 4

= y = 3/4x + 1

Now, you know the slope(m) is 3/4, so you have this much of the slope-intercept equation:

y = 3/4x + b

At this point, you need to find the y-intercept. This can be done by plugging in the given point in the equation and solving for b:

using (4, 0) and y = 3/4x + b,

(0) = 3/4(4) + b

0 = 3 + b

b = -3

So, that means that the equation for the line is:

y = 3/4x - 3

6 0

2 years ago