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julia-pushkina [17]
3 years ago
9

Choose all that give the correct equation of the line parallel or perpendicular to the given line passing through the point. (20

POINTS!)

Mathematics
1 answer:
Sati [7]3 years ago
8 0
The correct statement are the first and the second
=======================================
The first statement:
y = (-2/3) x - (13/3)
slope = -2/3   and passing through (4,-7) because (-2/3) *4 - (13/3) = -7
the slope of the parallel line = -4/6 = -2/3
============================================================
The second statement
y = (-7/2) x - (5/2)
slope = -7/2  and passing through (-3,8) because (-7/2) *-3 - (5/2) = 8
the slope of the perpendicular line = 2/7
the multiplication of the two slopes = -7/2 * 2/7 = -1
============================================================

The third is false
because the lines are parallel not perpendicular

the fourth is false
because the lines are perpendicular not parallel

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∠A and ∠B are complementary. m∠A=29°. find m∠B.
Georgia [21]

Answer:

55 degrees

Step-by-step explanation:

Add the expressions up and set up an equation.

( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.

3 x − 6 = 90 3 x = 96 x = 32 Find angle B.

x + 23 = 32 + 23 = 55

Hope this helps, have a nice day/night! :D

5 0
3 years ago
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Every year the Lee family has a big family dinner, and everyone brings a mug to exchange. The mugs are put on wooden hangers on
RideAnS [48]

Answer:

21 more mugs were brought this year than last year.

Step-by-step explanation:

We can solve by subtracting the initial amount of mugs from the final amount of mugs.

To find the amount of mugs hung up this year, we will use the equation: m = 12w where m = the number of mugs & w = the number of wooden hangers. The 12 represents the amount of mugs per wooden hanger.

We can plug in 3 for w since 3 wooden hangers were filled up and we would get 12(3) = m = 36 mugs

Now we subtract last year's total mugs hung up from this year's total mugs hung up.

We end up with 36 - 15 = 21

4 0
2 years ago
I need help with 13 please it’s due tomorrow
Yuliya22 [10]

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7 0
3 years ago
a line passes through point (-2,5) and has a slope of 2/3 points a (x,3) and b ( -2, y) lie on the line what is the value of y a
Tomtit [17]

Answer:

The value of y is 5 , and The value of x is - 5

Step-by-step explanation:

Given as :

The line passes through point ( - 2, 5)

The slope of line is m =  \frac{2}{3}

Equation of line is written as

y - y_1 = m × (x - x_1)

Since line passes through line ( - 2 , 5 ) and have slope \frac{2}{3}

So, y - 5 =   \frac{2}{3}  × (x + 2)

Or, 3 × ( y - 5 ) = 2 × ( x + 2 )

Or, 3 y - 15 = 2 x + 4

Or, 3 y - 2 x - 19 = 0 is the equation of line

Now points ( x , 3 ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × 3 - 2 x - 19 = 0

or, 9 - 2 x - 19 = 0

or, 2 x = - 10

∴  x = - \frac{10}{2}

I.e x = - 5

Again points ( - 2 , y )  lies on the line 3 y - 2 x - 19 = 0

So, 3 × y + 2 × 2 - 19 = 0

Or,  3 × y + 4 -19 = 0

or, 3 y = 15

∴  y = \frac{15}{3}

I.e y = 5

Hence The value of y is 5 , and The value of x is - 5   .  Answer

8 0
3 years ago
In the Cartesian Coordinate System, the intersection of the axis is called the origin. What is this called in the Polar coordina
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it's plural so axes*

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