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lions [1.4K]
3 years ago
10

Write the equation of the line that passes through (-1, 3) and is parallel to the line y = -x + 1.

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

Step-by-step explanation:

y = -x + 1......same as y = -1x + 1.....in y = mx + b form, ur slope is in the m position....so the slope of this line is -1.

a parallel line will have the same slope.

(-1,3)...x = -1 and y = 3

slope(m) = -1

y = mx + b.....we have x,y, and m....now we need to find y int (b)

3 = -1(-1) + b

3 = 1 + b

3 - 1 = b

2 = b

so ur parallel equation is : y = -1x + 2...or just y = -x + 2

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Use your knowledge on the triangle proportionality theorem to find the missing side length indicated. Be sure to explain the pro
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Answer:

? = 4.29

Step-by-step explanation:

Remark

Let  x be the question mark. You get the proportionality by using the dimensions of the little triangle to the dimensions of the large triangle.

Equation

14/(14+ 4) = 15/(x + 15)                   Combine like terms on the left

14/18 = 15/(x + 15)                          Cross multiply

14*(x + 15) = 18 * 15                        Simplify the right

14(x + 15) = 270                             Divide by 14

x + 15 = 270 / 14

x + 15 = 19.29                               Subtract 15 from both sides

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2 years ago
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WARRIOR [948]

Answer:

{- 2, - 4, - 6, - 8, - 10 }

Step-by-step explanation:

Given

f(x) = 2x - 6 with domain { - 2, - 1, 0, 1, 2 }

To obtain the range substitute the values of x from the domain into f(x)

f(- 2) = 2(- 2) - 6 = - 4 - 6 = - 10

f(- 1) = 2(- 1) - 6 = - 2 - 6 = - 8

f(0) = 2(0) - 6 = 0 - 6 = - 6

f(1) = 2(1) - 6 = 2 - 6 = - 4

f(2) = 2(2) - 6 = 4 - 6 = - 2

Range is { - 2, - 4, - 6, - 8, - 10 }

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In rhombus MOTH, angle HTM=(5x+6) degrees. If angle HMO=(12x-6)degrees, what is angle HMO?
forsale [732]

Answer:

m∠HMO=102°

Step-by-step explanation:

we know that

In a Rhombus the diagonals bisect the angles and opposite angles are equal

In this problem

Angles HMO and HTO are opposite angles

m∠HMO=m∠HTO

m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent

substitute the values

(5x+6)\°=(1/2)(12x-6)\°

solve for x

10x+12=12x-6\\12x-10x=12+6\\2x=18\\x=9

<em>Find the measure of angle HMO</em>

m∠HMO=(12x-6)°

substitute the value of x

m∠HMO=(12(9)-6)=102°

see the attached figure to better understand the problem

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3 years ago
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