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3 years ago

What is the solution to the equation √x^2+2x-25=√x+5 x = –6 x = 5 x = 6, x = –5 x = –6, x = 5

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer:

x = 5, -6

Step-by-step explanation:

Step 1: Write out equation

x² + 2x - 25 = x + 5

Step 2: Move everything to one side

x² + x - 30 = 0

Step 3: Factor

(x - 5)(x + 6) = 0

Step 4: Find roots

x - 5 = 0

x = 5

x + 6 = 0

x = -6

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3 years ago

What is the exact area and arc length of these sectors? Please helppp

Karolina [17]

<u>Answers with step-by-step explanation:</u>

1. Area of sector 1 = $\frac{90}{360} \times \pi \times 12^2 = 36\pi$

2. Area of sector 2 = $\frac{45}{360} \times \pi \times 19^2 = \frac{2527}{8} \pi$

3. Area of sector 3 = $\frac{270}{360} \times \pi \times 15^2 = \frac{675}{4} \pi$

4. Area of sector 4 = $\frac{270}{360} \times \pi \times 6^2 = 27 \pi$

5. Arc length of sector 1 = $\frac{90}{360} \times 2 \times \pi \times 12 = 6\pi$

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7. Arc length of sector 3 = $\frac{270}{360} \times 2 \times \pi \times 15 = \frac{45}{2}\pi$

8. Arc length of sector 4 = $\frac{270}{360} \times 2 \times \pi \times 6 = 9\pi$

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3 years ago

Find the quotient: 17 ÷ 3 2/5<br> Find the quotient: 5 1/7 ÷ 3

Greeley [361]

Answer:

1. =5

2. =1 5/7

Step-by-step explanation: Hope this help :D

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2 years ago

Which of these inequalities means that<br> 18 is greater than three times a number?

AnnyKZ [126]

<h3>hello!</h3>

Let's write this verbal phrase as an inequality.

First of all, let the number be n.

"three times n" can be written like so:-

$\pmb{3n}$

Now, 18 is greater than 3n:-

$\pmb{18 > 3n}$

Which means 3n is less than 18:-

$\bigstar{\boxed{\pmb{3n < 18}}}$

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

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2 years ago