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Lady_Fox [76]
2 years ago
11

Which of the following is parallel to the line y=2/3x+5

Mathematics
1 answer:
goldenfox [79]2 years ago
4 0

Answer:

C

Step-by-step explanation:

the general equation is y=mx+b where m is the slope

if the slope of the line are the same the lines are parallel

y=2/3x+5 has the slope 2/3

C. y=2/3x-7 has the same slope 2/3

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A sphere has a diameter of 14 units. What is the volume of the sphere in cubic units? If a cylinder has the same radius as the s
lesya692 [45]

Answer:

B

Step-by-step explanation:

r = 14/2 = 7units

Volume of sphere=\frac{4}{3}*\pi*r^{3}\\\\=\frac{4}{3}*3.14*7*7*7\\\\=1436.03cubic units\\\\Volume of cylinder=\pi*r^{2}*h\\\\=3.14*7*7*14\\\\=2154.04 cubic units

7 0
3 years ago
How many solutions does the equation |x + 6| − 4 = c have if c = 5? If c = −10? Complete the explanation
mixer [17]

Answer:

<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>

Step-by-step explanation:

We know

|a|\geq0

for any real value of <em>a</em>.

|a| = b > 0 -  <em>two solutions: </em>a = b or a = -b

|a| = 0 - <em>one solution: a = 0</em>

|a| = b < 0 - <em>no solution</em>

<em />

|x + 6| - 4 = c

for c = 5:

|x + 6| - 4 = 5           <em>add 4 to both sides</em>

|x + 6| = 9 > 0   <em>TWO SOLUTIONS</em>

for c = -10

|x + 6| - 4 = -10           <em>add 4 to both sides</em>

|x + 6| = -6 < 0   <em>NO SOLUTIONS</em>

<em></em>

Calculate the solutions for c = 5:

|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9         <em>subtract 6 from both sides</em>

x = 3 or x = -15

5 0
3 years ago
What would the amount of interest be earned if there is a deposit of $10,000 at 9.5% for 90 days
Bingel [31]
I am working on this in school, this is how we are being taught to do this type of problem:

First, convert the 9.5% to 0.095. Then multiply:

10,000 x 0.095 x 90 = 85,500

So, the answer should be: $85,500 interest.
3 0
3 years ago
The absolute value function, f(x) = |x + 2|, is shown.
Georgia [21]

ANSWER

all real numbers

EXPLANATION

The given absolute value function is

f(x) =  |x + 2|

This function is obtained by shifting the graph of

y =  |x|

to the left by 2 units.

Since the domain of the parent function is all real numbers, the domain of the transformed function is also all real numbers because the shifting the parent function horizontally or vertically does not affect the domain.

5 0
3 years ago
Simplify the ratio 0.08:0.12
mr Goodwill [35]

0.08:0.12\\\\0.08\cdot100=8\\0.12\cdot100=12\\\\0.08:0.12\to8:12\\\\8:4=2\\12:4=3\\\\0.08:0.12\to8:12\to2:3

4 0
3 years ago
Read 2 more answers
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