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3 years ago

Question 9 of 10

Mathematics

1 answer:

denis-greek [22]3 years ago

4 0

The answer should be A and D

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In the solution, 3b + 9c = 3(b + 3). What should be done to make it CORRECT?

stiks02 [169]

Answer:

The second term of the binomial factor should be 3c instead of 3.

Step-by-step explanation:

Distributive property:

a*b + a*c = a*(b +c)

3b + 9c = 3*b + 3* 3 *c = 3*(b + 3c)

7 0

3 years ago

The lenght of a rectangle is 2 units more than the width. The area of the rectangle is 48 units. What is the length, in units, o

LenKa [72]

Answer:

The length of this rectangle is 6 units.

Step-by-step explanation:

Let the width of the rectangle be x.

x • (x+2) = 48

x^2+2x=48

x^2+2x-48=0

x^2 - 6x + 8x - 48

x(x-6) 8(x-6)

(x+8)(x-6)

x=-8,6

3 0

3 years ago

Read 2 more answers

6. Josh had 5 times as much money as Karen. Both spent $20 each. Josh has 6 times as

vazorg [7]

Answer:

Josh had $500

Karen had $100

Step-by-step explanation:

J = 5K

J - 20 = 6(K - 20)

5K - 20 = 6K - 120

100 = K

J = 500

3 0

3 years ago

Evaluate 3x² - 1 when x = 2.<br> A. 11<br> B. 35<br> C. 3<br> D. 5

Alexus [3.1K]

Answer:

Step-by-step explanation:

All you need to do is substitute!

(3x2)^2-1

6^2-1

36-1

= 35

Hope this helps!!

4 0

2 years ago

Pls help:Find all the missing elements:

Yuliya22 [10]

Answer:

Step-by-step explanation:

In order to find B we must first angle C

To find angle C we use the sine rule

That's

$\frac{ |a| }{ \sin(A) } = \frac{ |c| }{ \sin(C) }$

From the question

a = 15

A = 70°

c = 14

So we have

$\frac{15}{ \sin(70) } = \frac{14}{ \sin(C) }$

$\sin(C) = \frac{14 \sin(7 0 ) }{15}$

$C = \sin^{ - 1} ( \frac{14 \sin(70) }{15} )$

C = 61.288

<h3>C = 61.3° to the nearest tenth</h3>

Since we've found C we can use it to find B.

Angles in a triangle add up to 180°

To find B add A and C and subtract it from 180°

That's

A + B + C = 180

B = 180 - A - C

B = 180 - 70 - 61.3

<h3>B = 48.7° to the nearest tenth</h3>

To find b we can use the sine rule

That's

$\frac{ |a| }{ \sin(A) } = \frac{ |a| }{ \sin(B) }$

$\frac{15}{ \sin(70) } = \frac{ |b| }{ \sin(48.7) }$

$|b| = \frac{15 \sin(48.7) }{ \sin(70) }$

b = 11.9921

<h3>b = 12.0 to the nearest tenth</h3>

Hope this helps you

6 0

3 years ago