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astraxan [27]
3 years ago
8

What is f(x) = 8x^2 + 4x written in vertex form?

Mathematics
1 answer:
Art [367]3 years ago
4 0
The first answer is the correct answer.

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Use the following diagram to find the angle measures of the triangle, rounded to the nearest degree.
nadezda [96]

Answer:

m∠A = 30°

m∠B = 80°

m∠C = 70°

Step-by-step explanation:

By applying cosine rule in the given triangle,

b² = a² + c² - 2ac[cos(∠B)]

From the given triangle,

a = 14 m

b = 28 m

c = 24 m

(28)² = (14)² + (24)² - 2(14)(24)cos(B)

784 = 196 + 576 - 672cos(∠B)

cos(∠B) = 0.1786

∠B = \text{cos}^{-1}(0.1786)

∠B = 79.71°

∠B = 80°

By applying sine rule in the given triangle,

\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}

\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}= \frac{\text{sinC}}{24}

\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}

\text{sinA}= \frac{\text{sin(79.71)}\times 14}{28}

sinA = 0.491958

A = 29.47°

A ≈ 30°

By applying triangle sum theorem,

m∠A + m∠B + m∠C = 180°

30° + 80° + m∠C = 180°

m∠C = 70°

4 0
3 years ago
Determine the slope from the given graph below:
melomori [17]
The slope of the line is -4
8 0
2 years ago
Read 2 more answers
Roy Gross is considering an investment that pays 7.6 percent, compounded annually. How much will he have to invest today so that
Debora [2.8K]

Answer: he should invest $16129 today.

Step-by-step explanation:

Let $P represent the initial amount that should be invested today. It means that principal,

P = $P

It would be compounded annually. This means that it would be compounded once in a year. So

n = 1

The rate at which the principal would be compounded is 7.6%. So

r = 7.6/100 = 0.076

The duration of the investment would be 6 years. So

t = 6

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 25000

Therefore

25000 = P(1+0.076/1)^1×6

25000 = P(1.076)^6

25000 = 1.55P

P = 25000/1.55

P = $16129

4 0
3 years ago
A line has a slope of 3/7 and a y-intercept of 0. What is it’s equation in slope-intercept form?
Ilia_Sergeevich [38]

Answer:

y = 3/7x

Step-by-step explanation:

Well slope-intercept form means this -----> y=mx+b

m = slope

b = y- intercept

In the question given they already telling us the slope (3/7) and the y intercept (0) so to put it into slope intercept form it will be ---> y= 3/7x

* If your y - intercept is zero you don't need to replace it with the b because its zero it means nothing (it has no value)

Hope this helps!!!

5 0
2 years ago
5 1/2 qt -_= 4 cups plreaseeeee help
nignag [31]

Answer: 5.5 quarts = 22 cups

Step-by-step explanation:

1 cup = 4 cups

to convert cups to quart, just multiply by 4

5.5 x 4 = 22

7 0
2 years ago
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