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3 years ago

The points (3,10) and (5,t) fall on a line with a slope of -4 what t value

Mathematics

1 answer:

Elenna [48]3 years ago

4 0

Answer:

t=2

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

We have points (3,10) and (5,t) and the slope is -4

Substituting these in

-4 = (t-10)/ (5-3)

Simplifying

-4 = (t-10) / 2

Multiply by 2 on both sides

-4 = (t-10) / 2 *2

-8 = t-10

Add 10 on both sides

-8+10 = t-10+10

2 = t

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3 years ago

Five years from now, the sum of the ages of a women and her daughter will be 40 years. The difference in their present age is 24

Tomtit [17]

Answer:

Daughter age = 3 years

Step-by-step explanation:

Let x be the age of the women and y be the age of the daughter.

Given:

After five year the sum of the women and daughter age = 40

$(x+5)+(y+5)=40$

At present the sum of the women and daughter age

$x+5+y+5=40$

$x+y+10=40$

$x+y=40-10$

$x+y=30$ --------------(1)

So the sum of the present age is $x+y=30$

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Now we substitute x value in equation 1.

$(24+y)+y=30$

$24+2y=30$

$2y=30-24$

$2y=6$

$y=\frac{6}{2}$

$y=3\ years$

Therefore, the daughter age is 3 years.

7 0

3 years ago

the lions won 16 games last year. this year the lions won 20 games. what is the percent increase in number of games the lions wo

jarptica [38.1K]

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as the percentage increase is:

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5/4
<span>
1.25 (125%)</span>

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3 years ago

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