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3 years ago

7

Write the equation for the line that passes through the point (-3, 5) and is perpendicular to the x axis

1 answer:

atroni [7]3 years ago

5 0

Answer:

x = -3

Step-by-step explanation:

this slope is a straight, vertical line passing through (-3, 5)

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Three people go to a restaurant. Their bill comes to $78.00. They decide to split the cost. One person pays $4.50; the next pers

Nikitich [7]

Answer:

$60.00

Step-by-step explanation:

First person:

$4.50

Second person:

3 times $4.50 = $13.50

Total of first two people:

$4.50 + $13.50 = $18.00

Third person:

$78.00 - $18.00 = $60.00

The third person pays $60.00

8 0

2 years ago

Read 2 more answers

Please help! i dont understand

kvv77 [185]

QUESTION 1

The given inequality is

$y\leq x-3$ and $y\geq -x-2$ .

If (3,-2) is a solution; then it must satisfy both inequalities.

We put x=3 and y=-2 in to both inequalities.

$-2\leq 3-3$ and $-2\geq -3-2$ .

$-2\leq 0$ :True and $-2\geq -5$ :True

Both inequalities are satisfied, hence (3,-2) is a solution to the given system of inequality.

QUESTION 2

The given inequality is

$y\:>\:-3x+3$ and $y\:>\: x+2$ .

If (1,4) is a solution; then it must satisfy both inequalities.

We put x=1 and y=4 in to both inequalities.

$4\:>\:-3(1)+3$ and $4\:>\: 1+2$ .

$4\:>\:0$ :True and $4\:>\: 3$ :True

Both inequalities are satisfied, hence (1,4) is a solution to the given system of inequality.

Ans: True

QUESTION 3

The given inequality is

$y\leq 3x-6$ and $y\:>\: -4x+2$ .

If (0,-2) is a solution; then it must satisfy both inequalities.

We put x=0 and y=-2 in to both inequalities.

$-2\leq 3(0)-6$ and $-2\:>\: -4(0)+2$ .

$-2\leq -6$ :False and $-2\:>\:2$ :False

Both inequalities are not satisfied, hence (0,-2) is a solution to the given system of inequality.

Ans:False

QUESTION 4

The given inequality is

$2x-y\:$ and $x+y\:>\:-1$ .

If (0,3) is a solution; then it must satisfy both inequalities.

We put x=0 and y=3 in to both inequalities.

$2(0)-3\:$ and $0+3\:>\:-1$ .

$-3\:$ :True and $3\:>\:-1$ : True

Both inequalities are satisfied, hence (0,3) is a solution to the given system of inequality.

Ans:True

QUESTION 5

The given system of inequality is

$y\:>\:2x-3$ and $y\:$ .

If (-3,0) is a solution; then it must satisfy both inequalities.

We put x=-3 and y=0 in to both inequalities.

$0\:>\:2(-3)-3$ and $0\:$ .

$0\:>\:-9$ ;True and $0\:$ :True

Both inequalities are satisfied, hence (-3,0) is a solution to the given system of inequality.

Ans:True

3 0

2 years ago

Steve puts an 18-foot ladder against his house. The ladder reaches a height of 15 feet on the house. How far is the bottom of th

krek1111 [17]

Answer:

$3 \sqrt{11}$

Step-by-step explanation:

Since we are given the hypotenuse which is 18 since it slanted, and leans on the house. And we are given one of the legs which is 15 since it is vertical. We can use the pythagorean theorem to solve for this problem.

${a}^{2} + {b}^{2} = c {}^{2}$

where a and b are the legs and c is the hypotenuse l.

Let plug it in

${a}^{2} + 15 {}^{2} = {18}^{2}$

${a }^{2} + 225 = 324$

${a}^{2} = 99$

$a = \sqrt{99}$

$a = \sqrt{9 \times 11}$

$a = 3 \sqrt{11}$

4 0

2 years ago

How to find the missing lengths and angles of a triangle

Vikki [24]

Add every side up and then subtract it by 180

5 0

3 years ago

Which sequence of transformations will map figure K onto figure K′? Two congruent kites, figure K and figure K prime, are drawn

elixir [45]

Answer:

The sequence of transformations will map figure K onto figure K′

is the first sequence <u>option (1)</u>

======================================================

Step-by-step explanation:

See the attached figure

as shown in the figure the K' is the image of K by reflection over x-axis

<u>But </u> We need to know which sequence of transformations will give the same result.

So, we will test the options by any point from K and its image from K'

i.e: we will test the options using the points (6,5) , (6,-5)

(6,5) ⇒ (6,-5)

<u>option (1):</u>

Reflection across x = 4, 180° rotation about the origin, and a translation of (x + 8, y)

(6,5) ⇒ (2,5) ⇒(-2,-5) ⇒ (6,-5)

<u>option (2):</u>

Reflection across x = 4, 180° rotation about the origin, and a translation of (x − 8, y)

(6,5) ⇒ (2,5) ⇒(-2,-5) ⇒ (-10,-5)

<u>option (3):</u>

Reflection across y = 4, 180° rotation about the origin, and a translation of (x + 8, y)

(6,5) ⇒ (6,3) ⇒ (-6,-3) ⇒ (2,-3)

<u>option (4):</u>

Reflection across y = 4, 180° rotation about the origin, and a translation of (x − 8, y)

(6,5) ⇒ (6,3) ⇒ (-6,-3) ⇒ (-14,-3)

As shown: The sequence of transformations will map figure K onto figure K′

is the first sequence <u>option (1)</u>

7 0

3 years ago

Read 2 more answers