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ValentinkaMS [17]
3 years ago
14

10. Wnte an equation in point-slope form for the lne through the given point with the given slope.

Mathematics
1 answer:
Nataliya [291]3 years ago
3 0

Answer:

We conclude that an equation in the point-slope form will be:

y+5 = -2/5 (x+3)

Hence, option A is true.

Step-by-step explanation:

We know that the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

Given

  • point (-3, -5)
  • slope m = -2/5

substituting the values m = -2/5 and the point (-3, -5) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - (-5) = -2/5 (x-(-3))

y+5 = -2/5 (x+3)

Therefore, we conclude that an equation in the point-slope form will be:

y+5 = -2/5 (x+3)

Hence, option A is true.

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Renaldo will write 3/20 as a decimal. Which of the following methods should he use?
makvit [3.9K]

ANSWER

1. Multiply the fraction by 5/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.

EXPLANATION

Renaldo wants to write

\frac{3}{20}

as a decimal.

He needs a denominator of 100, so he can multiply by

\frac{5}{5}

to obtain:

\frac{3}{20}  =  \frac{3 \times 5}{20 \times 5}

This will be

=  \frac{15}{100}

He can now obtain the decimal equivalent as

= 0.15

The correct choice is option 1.

3 0
3 years ago
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What’s the fraction of 65% in its simplest form
patriot [66]

Answer:

13/20

Step-by-step explanation:

65%=65/100

65/100=13/20

5 0
3 years ago
Read 2 more answers
How can i solve this<br> (x+2)(2x+3)<br> step by step please
MrRissso [65]

Answer:

2x² + 7x + 6

Step-by-step explanation:

To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).

You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.

(x+2)(2x+3)

2x²+ 3x + 4x + 6

2x² +7x + 6

6 0
3 years ago
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Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 miles per hour for t hours and at an average rate of
IceJOKER [234]

Answer:

Brady rides at slower speed which is 17 miles/hours for <em><u>3 hours and 36 minutes.</u></em>

Step-by-step explanation:

Given:

Brady rode 70 miles in 4 hours.

For t hours he rode at the average rate of 17 miles/hour

For rest of the time he rode at the average rate of 22 miles per hour.

To find the time Braady rode at the slower speed.

Solution:

Total time of riding = 4 hours

Time for which Brady rides at 17 miles/ hour = t  hours

Distance covered in t hours = Speed\times time=17\times t =17t\ miles

So, time for which Brady rides at 22 miles/ hour = (4-t) hours

Distance covered in (4-t) hours = Speed\times time=22\times(4-t) =(88-22t)\ miles

Total distance can be given as:

⇒ 17t+88-22t

Simplifying.

⇒ -5t+88

Total distance given =70 miles.

Thus, the equation to find t can be given as:

-5t+88=70

Subtracting both sides by 88.

-5t+88-88=70-88

-5t=-18

Dividing both sides by -5.

\frac{-5t}{-5}=\frac{-18}{-5}

∴ t=3.6 hours

3.6\ hours = 3\ hour+ (0.6\times 60)\ minutes = 3\ hour\ 36\ minutes

Thus, Brady rides at slower speed which is 17 miles/hours for 3 hours and 36 minutes.

6 0
3 years ago
Simplify 9c-3c+4c<br><br> Thanks
Evgesh-ka [11]
The answer of it is 10c

7 0
3 years ago
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