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Vsevolod [243]
3 years ago
15

Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).

Mathematics
1 answer:
vfiekz [6]3 years ago
5 0

Answer:

x = 4

Step-by-step explanation:

y = - 2 is the equation of a horizontal line parallel to the x- axis.

A perpendicular line is therefore a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 2 ) with x- coordinate 4 , thus

x = 4 ← equation of perpendicular line

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A line containing the points (9, 1) and (5, 5) intersects the x -axis at what point?
Troyanec [42]

Answer:

It intersects the x-axis at x = 10

Step-by-step explanation:

Step 1: Find slope <em>m</em>

m = (5 - 1)/(5 - 9)

m = 4/-4

m = -1

y = -x + b

Step 2: Find <em>b</em>

5 = -5 + b

b = 10

Step 3: Rewrite equation

y = -x + 10

Step 4: Find <em>x</em> when <em>y</em> = 0

0 = -x + 10

-10 = -x

x = 10

So the graph crosses the x-axis at 10.

4 0
3 years ago
ΔRST ≅ ΔXYZ. If RS = 13, YZ = 11, and XZ = 9, what is XY? A. 13 B. 9 C. 2 D. 11
Usimov [2.4K]
The answer is option "A, 13".

As both triangles are similar.
<span>ΔRST ≅ ΔXYZ.
it means RS = XY
YZ = ST
and XZ = RT
Now given that RS = 13 which is equal to XY.
Thus XY is equal to 13.</span>
6 0
3 years ago
Read 2 more answers
HELLPPPPPPPPP WITH THE TOP THREE PLS
rodikova [14]

Answer:

9) Domain: 0≤x≤6

Range: -3≤y≤3

10) Domain: -∞≤x≤∞

Range: -∞≤y≤∞

11) Domain: -∞≤x≤∞

Range: y≥-2

13) Domain: -∞≤x≤∞

Range: -2≤y≤4

Step-by-step explanation:

9) Domain: 0≤x≤6

Range: -3≤y≤3

10) Domain: -∞<x<∞

Range: -∞<y<∞

11) Domain: -∞<x<∞

Range: y≥-2

13) I think you need to look at this one again.  It looks like:

Domain: -∞<x<∞

Range: -2≤y≤4

4 0
3 years ago
"in a small town, 60% of the households have dogs. if 5 households are randomly selected, what is the probability that at least
AlexFokin [52]
4/5 houses have a dog

5 0
3 years ago
I need help please due in 5minutes
Sophie [7]
The answer is yes, it is a function.
8 0
3 years ago
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