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STALIN [3.7K]
3 years ago
7

What is the vertex of the graph of this equation y=-4x2 - 16x - 12?​

Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer:

(-2,4)

I just turned it in it was right

Step-by-step explanation:

PLEASE MARK BRAINLIEST

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Line m passes through the points (-2,7) and (4,-5), as shown below. Which of the following could be the equation of a line that
True [87]

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

To find the slope (m), use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}      And plug in the two points

(-2, 7) = (x₁, y₁)

(4, -5) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-5-7}{4-(-2)}   (two negative signs cancel each other out and become positive)

m=\frac{-5-7}{4+2}

m=\frac{-12}{6}     Simplify the fraction

m = -2        

The slope is -2, so the parallel line's slope is also -2.

Your answer is C

3 0
3 years ago
If you invest $4000 at 9% interest compounded annually, in how many years will you have $20,000. Give your answer the nearest te
Masteriza [31]

Answer:

18.7 years

Step-by-step explanation:

This is a compound interest problem and the following variables have been given;

Principal = 4000; this is the amount o be invested

APR = 9%; this is the compound interest to be earned

Accumulated amount = 20,000

We are required to determine the duration in years. We apply the compound interest formula;

A=P(1+r)^{n}

20000=4000(1+\frac{9}{100})^{n}\\20000=4000(1.09)^{n}\\5=(1.09)^{n}

The next step is to introduce natural logarithms in order to determine n;

ln5=nln(1.09)\\n=\frac{ln5}{ln(1.09)}\\n= 18.675

The number of years required is thus 18.7 years

6 0
3 years ago
In the following triangle theta=60.Find the values of the angles of the angles B and B'
Contact [7]

Answer:

180-60 = 120 if triangle is not equilateral it cannot be isosceles then depending where the angles are they will show  60,60,60 if equilateral

For isosceles it would need to be 58 61 61 as 60, 60,60 cannot be isosceles.

Vectors 60 if right angled triangle = 90-60 = 30

So angles = 30 and 90 degree or just 120 if angle theta is a vector as explained below.

Step-by-step explanation:

Statement: If two vectors are represented by the sides of a triangle both in magnitude and direction taken in order, the resultant sum of the vectors is given by the closing third side of the triangle taken in the reverse order both in the magnitude and direction

5 0
3 years ago
Why is it helpful to represent fractions and division with models? (pls make answer pretty long, thanks :)
eimsori [14]

Answer:

Whether you're teaching the meaning of fractions or fraction operations, visual models can help students connect fractions to what they already know. Division is an essential foundation for fractions. Once students can divide objects into equal groups, they can begin to grasp dividing a whole into equal parts.

Step-by-step explanation:

6 0
2 years ago
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Which statements are true when using algebra tiles to solve the equation 8x + (–4) = 11x + 5?
kogti [31]

Answer:

See explanation

Step-by-step explanation:

You are given the equation 8x+(-4)=11x+5

1. Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side. The equation then will have form

8x+(-4)+(-8x)=11x+5+(-8x)\\ \\-4=3x+5

2. Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side. The equation now is

-4+(-5)=3x+5+(-5)\\ \\-9=3x

3. Divide both sides by 3:

\dfrac{3x}{3}=\dfrac{-9}{3}\\ \\x=-3

7 0
3 years ago
Read 2 more answers
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