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3 years ago

3(4x + 5) = 12 Which of the following correctly shows the beginning steps to solve this equation?

1 answer:

8 0

The correct answer is A.

Here is the completed problem:

3(4x+5)=12

Distributive property.

3(4x+5)=12

Simplify

12x+15=12

Subtract 15 from both sides.

12x+15−15=12−15

12x=−3

Divide both sides by 12.

12x/12 = −3/12

x= −1/4

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In the given diagram, if AP = 15 cm, AQ = 24 cm and PB + QC = 26 cm, find QC – PB, given PQ || BC.

Anna35 [415]

Answer:

QC - PB = 6

Step-by-step explanation:

Given PQ is parallel to BC then it divides the sides proportionally, that is

$\frac{AP}{AQ}$ = $\frac{PB}{QC}$ = $\frac{15}{24}$ = $\frac{5}{8}$ , then

$\frac{PB}{QC}$ = $\frac{5}{8}$ ( cross- multiply )

8PB = 5QC → *

Given PB + QC = 26 , then

PB = 26 - QC

Substitute into *

8(26 - QC) = 5QC ← distribute left side

208 - 8QC = 5QC ( subtract 5QC from both sides )

208 - 13QC = 0 ( subtract 208 from both sides )

- 13QC = - 208 ( divide both sides by - 13 )

QC = 16

Thus PB = 26 - QC = 26 - 16 = 10

QC - PB = 16 - 10 = 6

8 0

3 years ago

What is the range of f(x) = A cos(x) +b or<br> g(x) = A sin(x)+b?

vagabundo [1.1K]

Answer:

Step-by-step explanation:

The range of f(x) = cos(x) is [-1, 1].

That of f(x) = A cos(x) is [-A, A], and

That of f(x) = A cos(x) + 2 is [ b-A, b+A ].

The function g(x) = A sin(x)+b has the same range.

3 0

3 years ago

Shanika read some pages on Monday. On Tuesday, she read 6 pages. She read 13 pages

astraxan [27]

Answer:

Step-by-step explanation:

total pages= 13

on tuesday = 6

so on monday = 13-6

8 0

3 years ago

A = (-123) + 77 + (-257) + 23 – 43

irga5000 [103]

Answer:

$A=-323$

Step-by-step explanation:

A = (-123)+77+(-257)+23-43

A = -46+(-257)+23-43

A = -303+23-43

A = -280-43

A = -323

Hope this helps

7 0

3 years ago

A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?

DENIUS [597]

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals $2.20\times 10^{8}\,Pa$ . The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress ( $\sigma$ ), measured in pascals, in the wire with circular cross-section is: