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klasskru [66]
3 years ago
8

Write an equation for the line that has a slope of -4 and passes through the point (2,-3)

Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Answer:

y = -4x + 5

Step-by-step explanation:

y = -4x + b

-3 = -4(2) + b

-3 = -8 + b

5 = b

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Two angles are supplementary. One is 56° more than three times three times the other. Find the measures of the angles.
kaheart [24]
Supplementary means they equal 180 when added. Therefore:

X+56+3x=180
Combine common units
4x+56=180
Subtract 56 from both sides
4x=124
Divide by 4
X=31

Now we know the smaller angle is 31 degrees. Now we plug that into the larger angle:
3(31)+56
93+56
149

The larger angle is 149 degrees.

I hope this Helps!
8 0
3 years ago
PLEAS HELP!!! Examine the graph.
raketka [301]
Similarly to the last graph that decreased, this one increases, so you have to see where the line points upwards into the right top corner
CD
7 0
3 years ago
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Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.
larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

    f(x)=x^{2}-8 x+24

To find:

  The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

  y=a x^{2}+b x+c

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is x=\frac{-b}{2 a}

By applying the values, the axis of symmetry of given equation is

     x=\frac{-(-8)}{2(1)}=4

The vertex form of quadratic equation is f(x)=a(x-h)^{2}+k

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

f(x)=x^{2}-8 x+24

f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24

f(x)=(x-4)^{2}+8

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0
3 years ago
However, since we have 3 sets of 4, what can we do with the two exponents to avoid expansion?
Anvisha [2.4K]

Answer:

To avoid expansion, you can just use the power of a power rule and multiply the two exponents from the start.

Step-by-step explanation:

(<em>x</em>^4)^3

= <em>x</em>^4×3

= <em>x</em>^12

4 0
2 years ago
What are the coordinates of the point (-9, 4) after a 90 degree rotation followed by a translation 3 units right?
oksian1 [2.3K]
(-9,1) should be the answer not completely sure tho
3 0
2 years ago
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