Gary is 25 years old. That is 7 more than

Mathematics

1 answer:

SpyIntel [72]2 years ago

5 0

Answer:

2x + 7 = 25

x = 7

Step-by-step explanation:

Gary: 25

Sean: x

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Let's break down the sentence into mathematical terms

Gary is 25 years old. That is 7 more than twice Sean's age.

In math, is means equal to. It is represented with an equal sign (=)

Gary = 25. 25 = 7 more than twice Sean's age.

7 more is represented by 7 +

Gary = 25. 25 = 7 + than twice Sean's age.

Twice means double which is 2 ·

Gary = 25. 25 = 7 + 2 · Sean's Age

Sean's Age will be represented by x

Gary = 25. 25 = 7 + 2x

We don't need it to say "Gary = 25" in our equation.

25 = 7 + 2x

Let's rewrite it with the associative property.

2x + 7 = 25

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Now, solve

2x + 7 = 25

-7 -7

2x = 18

÷2 ÷2

x = 7

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Sean is 7 years old.

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Find the distance from P to l. Line l contains points (-4,2) and (3,-5).Point P has coordinates (1,2).

Annette [7]

Hello,

A=(-4,2)
B=(3,-5)
AB≡y-2=(x+4)(-7)/7==>y=-x-2

Slope of the perpendicular: 1

y-2=(x-1)1==>y=x+1 is the equation of the perpendicular.

Intersection: y=x+1 and y=-x-2 ==>(-3/2,-1/2)=Q

|PQ|²=(-1/2-2)²+(1+3/2)²=25/2
|PQ|=5√2/2≈3.5355339059....