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3 years ago

What is the length of the equilateral triangle below?

Mathematics

1 answer:

kykrilka [37]3 years ago

4 0

Answer:

C. 5√3

Step-by-step explanation:

To figure this out, we need to apply the Pythagorean Theorem, a² + b² = c², where c is the "HYPOTENUSE". In this case, c is already found for us [10], so the operation we use whenever the hypotenuse is defined is deduction, or subtraction. Apply the Pythagorean Theorem: a² + 25 = 100; 75 = a². Now, to find a, we need to find two numbers that multiply to 75, where one of them is a PERFECT SQUARE, and in this case, they are 3 and 25. Since the square root of 25 is 5 [in this case, NO NON-NEGATIVE root], that gets moved to the outside of the radical, and 3 [NON-PERFECT SQUARE] stays wrapped under the radical, ending up with 5√3. You understand?

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Given a quadratic function in vertex form:

Alja [10]

Answer:

See below

Step-by-step explanation:

Part A

A vertical stretch takes place when $a\cdot f(x)$ given that $|a| > 1$

Part B

A vertical compression takes place when $a\cdot f(x)$ given that $0 < |a| < 1$

Part C

A vertical stretch is different than a horizontal compression:

In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor

Part D

A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of $a$ must be negative such that $a\cdot f(x)$ as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.

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2 years ago

Which type of factoring is used to factor the following expression: 2x^2 + 7x- 30

svetlana [45]

Answer:

(2x - 5) • (x + 6)

7 0

3 years ago

Convert 8/15 into a decimal : show your work

zloy xaker [14]

O.533333333,basically 8 divide by 15

6 0

3 years ago

Read 2 more answers

PLEASE HELP Solve |10x + 15| >= 105

yan [13]

$|10x + 15| \geq 105\\
 5|2x + 3| \geq 105\\
|2x+3|\geq21\\
2x+3\geq21 \vee 2x+3\leq-21\\
2x\geq 18\vee2x\leq-24\\
x\geq9 \vee x\leq-12\\
x\in(-\infty,-12\rangle\cup\langle9,\infty)$

8 0

3 years ago

Find g. (-9) g(+)= r^2 + 3r

oee [108]

Answer:

g(-9) = 64

Step-by-step explanation:

Given function:

g(r) = r² + 3r

Find g(-9):

g(-9) = (-9)² + 3(-9) = 81 - 27 = 64

7 0

2 years ago