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3 years ago

State the equation of the line described.

Mathematics

2 answers:

Xelga [282]3 years ago

8 0

Answer:

Step-by-step explanation:

Perpendicular lines have their slope <u>negative reciprocal</u>

y= -3x +3 has the slope -3

y = (1/3)x +b is the line that is ⊥ so it has the slope (1/3)

The line passes trough the point (x=-2, y=8) so substitute the x and y to find b

8 = (1/3)(-2) +b, multiply (1/3)(-2) = -2/3 and add 2/3 on both sides

8+(2/3) = b, find the common denominator and add the fractions

[(3*8)+2 ]/3 =b

(26/3) = b

The equation of the line described is y= (1/3)x +(26/3)

Stells [14]3 years ago

4 0

Answer:

y = mx + b

Since it is perpendicular to the given line, its slope is the negative reciprocal of the slope of the given line.

Slope of given line:

m0 = -a/b = -(-3) / (1) = 3

Slope of perpendicular line:

m = -1/3

y = (-1/3)x + b

Use the given point to find b.

2 = (-1/3)(3) + b

2 = -1 + b

b = 3

y = (-1/3)x + 3

Step-by-step explanation:

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Points X and Z are on a number line, and point Y partitions

abruzzese [7]

Answer:

The coordinate of $Z$ is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

$\frac{XY}{XZ} = \frac{5}{12}$ (1)

$\frac{YZ}{XZ} = \frac{7}{12}$ (2)

$X = 0.4$ (3)

$Y = 5.8$ (4)

From (2), we have the following expression:

$YZ = \frac{7}{12}\cdot XZ$

$Y-Z =\frac{7}{12}\cdot (X-Z)$

$Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z$

$Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z$

$\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X$

$5\cdot Z = 12\cdot Y-7\cdot X$

$Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X$ (5)

If we know that $Y = 5.8$ and $X = 0.4$ , then the coordinate of $Z$ is:

$Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)$

$Z = 13.36$

The coordinate of $Z$ is 13.36.

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3 years ago

Tom and his friends decided to go on a hiking gtrip. They started at 45 feet above sea level and went up the mountain at a rate

Phantasy [73]

What the question? Tell me then I can maybe help

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3 years ago

Solve for the variable: x + 9 > -4

Marina CMI [18]

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3 years ago

Read 2 more answers

Solve this proportion: 8/x = 2/5. x =

Taya2010 [7]

8/x= 2/5

8•5= 2•x

40=2x

40/2= x

20= x

3 0

3 years ago

suppose A and B are complementary angles, m a =(3x+5) and m b= (2x-15). Solve for x and then find m a and m b

vlada-n [284]

2 angles are complementary if the sum of their measures is 90°.

For example if m(P) = 41° and m(Q)=49°, then P and Q are complementary.

Thus A and B are complementary means that m(A)=m(B)=90°:

(3x+5°) + (2x-15°) =90°

5x-10°=90°

5x=100°

x=20°

Thus

m(A)=3x+5°=3* 20°+5°=60°+5°=65°

m(B)=2x-15°=2*20°-15°=40°-15°=25°

8 0

4 years ago