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Sauron [17]
4 years ago
8

What is the solution to 4(x-7)=0.3(x+2)+2.11

Mathematics
1 answer:
kondaur [170]4 years ago
5 0

Expand

4x - 28 = 0.3x + 0.6 + 2.11

Simplify 0.3x + 0.6 + 2.11 to 0.3x + 2.71

4x - 28 = 0.3x + 2.71

Add 28 to both sides

4x = 0.3x + 2.71 + 28

Simplify 0.3x + 2.71 + 28 to 0.3x + 30.71

4x = 0.3x + 30.71

Subtract 0.3x from both sides

4x - 0.3x = 30.71

Simplify 4x - 0.3x to 3.7x

3.7x = 30.71

Divide both sides by 3.7

x = 30.71/3.7

Simplify 30.71/3.7 to 8.3

<u>x = 8.3</u>

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Given the points R (6,-2) and T (-9,- 7), find the coordinates of point S on line RT such that the ratio of RS to ST is 3 : 2​ p
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Answer:

(-3, -5)

Step-by-step explanation:

By using the distance formula, we see that the length of RT is \sqrt{(6+9)^2+(-2+7)^2} which equals 5\sqrt{10}.

The ratio of RS to ST is 3:2, so we can write the distance of RS as (5\sqrt{10} / 5) * 3 which equals 3\sqrt{10}. The distance of ST is then 2\sqrt{10}.

Since we know the distance of RS and ST, we can find the coordinates of point S by using the distance formula again:

\sqrt{(6-x)^2+(-2-y)^2} = 3\sqrt{10} and \sqrt{(-9-x)^2+(-7-y)^2} = 2\sqrt{10}

We solve for x and y, getting (-3, -5).

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mezya [45]

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3 years ago
Given the statement “If a line is horizontal, then it has slope equal to zero,” what is its contrapositive?
dmitriy555 [2]

Answer:

"If the line has a slope that is not 0, then the the line is not horizontal".

Step-by-step explanation:

The contrapositive of "If p then q" is "If not q then not p".

p=a line is horizontal

not p= a line that is not horizontal

q=the line has a slope equal to zero

not q=the line has a slope that is not zero

The equivalent statement in contrapositive form is therefore:

"If the line has a slope that is not 0, then the the line is not horizontal".

7 0
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The equation of line q is 5y - 4x = 10. Write an equation of the line that is perpendicular to q and passes through the point (-
Hitman42 [59]
Y=mx+b
m=slope
b=y intercept


perpendicuar lines have slopes that multiply to get -1
so
solving for y
add 4x both sides and divide by5 to get
y=4/5x+2
slope is 4/5


perpendicular means the slopes multiply to get -1
so
4/5 times what=-1?
what=-5/4

so
y=(-5/4)x+b
find b
given the point (-15,8)
8=(-5/4)(-15)+b
8=75/4+b
-43/4=b

y=(-5/4)x-43/4
6 0
3 years ago
Read 2 more answers
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