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3 years ago

Number 13 I don’t get it

Mathematics

1 answer:

Nina [5.8K]3 years ago

5 0

<h3>Answer: 1/2 (choice A)</h3>

===========================================

Explanation:

The two equations given to us are

ab = 3
ab^2 = 18

Divide the second equation over the first equation and that would lead to b = 6

Notice how the 'a' terms divide to 1 and go away, i.e. cancel out.

The b terms divide to (b^2)/b = b

The right hand side values divide to 18/3 = 6

So that's how we end up with b = 6

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Now if b = 6, then we can say,

ab = 3

a*6 = 3

a = 3/6

a = 1/2

Or we could say

ab^2 = 18

a*6^2 = 18

a*36 = 18

a = 18/36

a = 1/2

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olga_2 [115]

Answer:

1. -2, 2. -23, 3. 25

Step-by-step explanation:

1. -2+5x8/-12= step 1: add -2+5

-2+5=3 step 2: 3(8)

3x8= 24 step 3: 24/-12

24/-12= -2

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-18-8+3=? step 2: combine like terms

-26+3=? step 3: combine like terms

-23=?

3. 2x + 130=180 step 1: -130 on both sides

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x = 25

7 0

1 year ago

Read 2 more answers

The question is in the screenshot

Sidana [21]

Answer:

b. -36/77

Step-by-step explanation:

As 0 < x < $\pi$ /2 => tan x > 0

As 0< y < $\pi$ /2 => tan y > 0

We have the formula:

$\frac{1}{sin^{2}x } =1 + cot^{2}x$ => $\frac{1}{(8/17)^{2} }$ = $1+cot^{2}x$ => $cot^{2} x=225/64$

As tan x = 1/(cotx) => $tan^{2}x = \frac{1}{cot^{2}x} =\frac{1}{225/64} = \frac{64}{225}$

As tan x > 0 => tan x = 8/15

$\frac{1}{cos^{2}y } = 1+tan^{2}y$ => $\frac{1}{(3/5)^{2} } = 1 + tan^{2} y$ => $tan^{2}y=\frac{16}{9}$

As tan y > 0 => tan y = 4/3

As tan (x-y)= $\frac{tan x - tan y}{1+ tanx * tany}$ $=\frac{(8/15)-(4/3)}{1+(8/15)*(4/3)} = \frac{-36}{77}$

8 0

2 years ago

Factoriza el siguiente trinomio 6x^2 – 26x – 200

Virty [35]

Answer:

2 (x + 4)(3x - 25)

Step-by-step explanation:

$6 {x}^{2} - 26x - 200$

$3 {x}^{2} - 13x - 100$

$2 (x + 4)(3x - 25)$

4 0

2 years ago

1) check if they given ordered pairs are solutions to the equation or not.

ziro4ka [17]

Answer: a) Yes
b) No

Explanation: Substitute the values of X and Y from the given points into the equation. I’ll use a) as an example:
Given point: (1,-3)
Equation: 4x-2y=10
Value of X: 1
Value of Y: -3
Substitute X and Y: 4(1)-2(-3)=10
4-(-6)=10
4+6=10 ✔︎

Therefore, the given ordered pair is a proper solution to the equation 4x-2y=10.

*You can use the same method for question b).*

3 0

3 years ago

£6000 is divided between Adam, Ben and<br> Chris in the ratio 1:3:4. How much does Ben receive?

Gala2k [10]

Answer:

Chris gets £3000

Step-by-step explanation:

A : B : C

1 : 3 : 4 = 8 (add all the parts together)

£6000 ÷ 8 = 750

so the multiplier is x 750

1 : 3 : 4

↩ x 750

750 : 2250 : 3000

Chris gets £3000

3 0

2 years ago