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poizon [28]
2 years ago
15

Which of the following linear equations passes through points (-1,5) and (1,-5)?

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
7 0

Answer:

y = -5x

Step-by-step explanation:

gradient = delta y / delta x

gradient = -10 / 2

gradient = -5

y = mx + b

5 = -5(-1) + b

5 = 5 + b

b = 0

y = -5x

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One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his sons age. The present age of son is
Svetlanka [38]

Answer:

The present age of son is 7

Step-by-step explanation:

Let the son age be x

One year ago

Son's age = x - 1

Therefore man's age = 8(x-1) =8x - 8

Now man's age = x^2

Difference between both ages if man =1 years

So

x^2 -(8x-8) = 1

x^2-8x + 8-1 =0

x^2- 8x + 7 = 0

x^2 - 7x -x + 7 = 0

X(x-7) - 7 ( x - 7) = 0

(x - 1) ( x - 7) = 0

x = 1, 7

But son cannot be 1 years

Therefore ,

x = 7

SO,

age of son is <em>7</em>

age of father is x×7=<em>49</em>

3 0
3 years ago
Round off 6.342 correct to 2 decimal place​
maks197457 [2]

Answer:

6.34

Step-by-step explanation:

when rounding 5 or more round up 4 or less round down. hope it helps.

8 0
3 years ago
Read 2 more answers
Three different golfers played a different number of holes today. Rory played 9 holes and had a total of 42 strokes. Alicia play
choli [55]

Answer:

Alicia is the golfer who has had the lowest number of strokes per hole

Step-by-step explanation:

we know that

The unit rate of the number of strokes per hole is equal to divide the number of strokes by the number of holes

Let

x ----> the number of strokes

y ----> the number of holes

we have

<em>Roy</em>

x=42\ strokes\\y=9\ holes

\frac{x}{y}=\frac{42}{9}=4.67\ strokes\ per\ hole

<em>Alicia</em>

x=79\ strokes\\y=18\ holes

\frac{x}{y}=\frac{79}{18}=4.39\ strokes\ per\ hole

<em>Rickie</em>

x=123\ strokes\\y=27\ holes

\frac{x}{y}=\frac{123}{27}=4.56\ strokes\ per\ hole

Compare

4.39 < 4.56 < 4.67

therefore

Alicia is the golfer who has had the lowest number of strokes per hole

7 0
3 years ago
Read 2 more answers
A cone has a radius of 3 and a height given by the expression 2a. Which expression represents the volume of the cone?
DiKsa [7]
V=(1/3)hπr^2 where h=height and r=radius
given
radius=3
height=2a

r=3
h=2a

v=(1/3)hπr^2
v=(1/3)(2a)π(3)^2
v=(1/3)2aπ9
v=6aπ


so the expression would be some variaant of v=6aπ
5 0
4 years ago
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You work 40 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e
Damm [24]
40 hours/week * 52 weeks = 2,080 hours a year.

$30,000/year

$15.00/hour * 2,080 hours = 31,200/year

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$15.00/hour and a $2,000 bonus at the end of the year = (15 * 2,080) + 2,000 = 31,200 + 2,000 = 33,200/year

I will earn the most in $15.00/hour and a $2,000 bonus at the end of the year. I will earn $33,200 per year.
3 0
4 years ago
Read 2 more answers
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