All categories

3 years ago

Solve -5√x = -15A. x =7B. x = -7C. x = -9D. x = 9

Mathematics

1 answer:

kondor19780726 [428]3 years ago

5 0

-5√x = -15
√x = -15/-5
√x = 3
x = 3&2
x = 9
answer is D. x = 9

You might be interested in

Help evaluating the indefinite integral

Dafna11 [192]

Answer:

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

General Formulas and Concepts:
Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle (cu)' = cu'$

Derivative Property [Addition/Subtraction]:
$\displaystyle (u + v)' = u' + v'$
Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals

Integration Rule [Reverse Power Rule]:
$\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]:
$\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Methods: U-Substitution and U-Solve

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx$

Step 2: Integrate Pt. 1

Identify variables for u-substitution/u-solve.

Set u:
$\displaystyle u = 4 - x^2$
[u] Differentiate [Derivative Rules and Properties]:
$\displaystyle du = -2x \ dx$
[du] Rewrite [U-Solve]:
$\displaystyle dx = \frac{-1}{2x} \ du$

Step 3: Integrate Pt. 2

[Integral] Apply U-Solve:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-x}{2x\sqrt{u}}} \, du$
[Integrand] Simplify:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-1}{2\sqrt{u}}} \, du$
[Integral] Rewrite [Integration Property - Multiplied Constant]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \frac{-1}{2} \int {\frac{1}{\sqrt{u}}} \, du$
[Integral] Apply Integration Rule [Reverse Power Rule]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = -\sqrt{u} + C$
[u] Back-substitute:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

∴ we have used u-solve (u-substitution) to find the indefinite integral.

---

Learn more about integration: brainly.com/question/27746495

Learn more about Calculus: brainly.com/question/27746485

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

5 0

2 years ago

6/2 (1 + 2) ? What is the answer to this the answer choices are: 1, 6, 9, and 3

guapka [62]

Answer:

Step-by-step explanation:

6÷2(1+2)

(1+2)

6÷2×3

6÷2=

3×3

4 0

3 years ago

Write an expression that represents the area of only the red shaded region in terms of x

julsineya [31]

Answer:

(9 × 3x+7) - (5 × x+2)

Step-by-step explanation:

Red area

9 × 3x + 7

white area

5 × x+2

7 0

2 years ago

Mary is on her way home in her car. Her drive is 24 miles long. She has finished one-half of the drive so far. How far has she d

Rzqust [24]

Answer:

She has driven 12 miles.

Step-by-step explanation:

24 divided by 2 would be 12

PLEASE MARK ME BRAINLIEST

3 0

3 years ago

Read 2 more answers

I need number 2 I need help fast

Semmy [17]

Answer:

B. 70

Step-by-step explanation:

<h3>look at the smaller triangle</h3>

its dimensions are :

45 , 35 , 24

<h3>look at the bigger triangle ( this includes the dimensions of the smaller one)</h3>

its dimensions are :

45 + 45 , x , 24 + 24

= 90 , x , 48

from the dimensions given we can notice that :

bigger triangle dimensions are = 2 * smaller triangle dimensions

therefore to find the value of x :

x = 35 * 2

<h3>hence the answer is B ) 70 </h3>

4 0

3 years ago