Write the equation of the line perpendicular to 5y - 5x = -20 that passes through the point (-3, 8)

Answer:

1) x= 7 and y =2

Step-by-step explanation:

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Answer:

x =7

y =2

eqn 1 - eqn2

5x-2x=3x

3y-3y=0

41-20=21

3x=21

x=7

in eqn 1;

5×7)+3y=41

35+3y=41

3y=6

y=2

Based on the diagram, there are 8 triangles in total

A triangle is a polygon with three sides and three angles.

Therefore, there are 8 triangles in the diagram.

Learn more about triangles:

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numerator = top part of the fraction

denominator = bottom part of the fraction

* means multiply

a.

you can only add the numerator when the denominator is the same

cant add the denominator

denominator has to be the same

1/5 = 4/20

4/20 + 7/20 = 11/20

b.

1 7/8 = 15/8

3/4 ÷ 15/8 =

3/4 * 8/15 =

24/60 = divide both top and bottom by 12 =

2/5

Step-by-step explanation:

a)1/5+ 7/20

1.find the CM of both denominators

2.multiply both the denominator and the numerator using the CM

=(1/5)×20 +(7/20)

=20/100 +35/100

since you multiply

3.Now add both numerators ( don't add the denominators)

=the answer is 55/100

x+y,=3

x_y=-3

A.,(0,3)

B. (0,3)

C. (0,6)

D. (0 _3)

Answer:

x=50

y=75

Step-by-step explanation:

The explanation is in the picture!

Answer:

a.[tex]\frac{x+10}{5} = 9.5[/tex]

b. $37.50

Step-by-step explanation:

To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: [tex]\frac{x+10}{5}[/tex]. We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:

[tex]9.5 = \frac{x+10}{5}[/tex]

Now, we can solve.

First, we can multiply by 5 on both sides to get:

47.5 = x + 10

And then subtract 10:

x = 37.5

This means the bill before the tip was $37.50

Given:

The temperature on a mountain peak was 7°F at 6:00 p.m.

By 8:00 p.m., the temperature had dropped to 0°F.

To find:

The temperature at 11:00 p.m. if the temperature continued to drop at about the same rate.

Solution:

Time between 6:00 p.m. to 8:00 p.m. is 2 hours.

Change in temperature in 2 hours is -7°F.

Change in temperature in 1 hours is [tex]-\dfrac{7}{2}^\circ[/tex]F.

Time between 8:00 p.m. to 11:00 p.m. is 3 hours.

Change in temperature in 3 hours is [tex]3\times \dfrac{-7}{2}^\circ[/tex]F, i.e., [tex]-\dfrac{21}{2}^\circ[/tex]F.

Now, the temperature at 11:00 p.m is:

[tex]0-\dfrac{21}{2}=-10.5[/tex]

Therefore, the temperature at 11:00 p.m. is -10.5°F.

Note: All options are incorrect.

Answer:

a)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The absolute value always gives a positive value , that is

| - a | = | a | = a , then

| - 16 | = | 16 | = 16

so, start floor = x

x + 7 - 9 - 4 + 8 - 2 = 14

x = 14

the elevator started on the 14th floor.

to verify: 14 + 7 = 21 - 9 = 12 - 4 = 8 + 8 = 16 - 2 = 14

Answer:

true

Step-by-step explanation:

y = 5x+6

To find the inverse, exchange x and y

x = 5y+6

Solve for y

x-6 = 5x+6-6

x-6 = 5x

Divide by 5

x/5 - 6/5 = 5y/5

1/5x - 6/5 = y

The inverse is (x-6)/5

Answer:34/45

Step-by-step explanation:

Answer:

[2,10,18]

y = 4x + 2

0,2

1,6

2,10

3,14

4,18

Step-by-step explanation:

Answer:

x=0  y=2

x=2  y= 10

x=4  y= 18

Step-by-step explanation:

Is means equals

y = 4x+2

Let x = 0

y = 4(0)+2 = 2

Let x = 2

y = 4(2)+2 = 8+2 = 10

Let x =4

y = 4(4)+2 = 16+2 = 18

Answer:

It is 36

Step-by-step explanation:

minus × minus equals + so its 36

Answer:

36

Step-by-step explanation:

(-4) is -4

then

(-9) then 36

Answer:

e. is incorrect

sin (x)= f/e

Answer:

.36

Step-by-step explanation:

To find the decay factor

y = a(1-b)^x

b = 1-rate of decrease

   = 1-64%

   = 1-.64

   = .36

Answer:

The correct answer is

D) e and l

Answer:

A=45m²

Step-by-step explanation:

A=bh=9·5=45m²

Look at the attachment

The line bisects the cord which we have to find

Its a right angle triangle

[tex]\boxed{\sf P^2=H^2-B^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{H^2-B^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{10^2-6^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{100-36}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{64}[/tex]

[tex]\\ \Large\sf\longmapsto P=8cm[/tex]

Distance of the chord from centre is 8cm.

Answer:

Step-by-step explanation:

6x - 11 = 3x + 13

3x = 24

x = 8

Answer:

3.24 kg

Step-by-step explanation:

internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs

external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs

Vol of thickness = 8160 - 7080 = 1080cm^3

Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg

Answer:

3:15 hours

Step-by-step explanation:

i don't know I just took the test

Answer:

4.75 or 4 3/4

Step-by-step explanation:

rate = distance/time

Multiply both sides by time:

time * rate = distance

Divide both sides by rate:

time = distance/rate

We are given:

distance = 76 km

rate = 16 km/h

time = ?

time = distance/rate

time = 76 km/(16 km/h)

time = 4.75 h = 4 3/4 h

Answer:

224 ft

Step-by-step explanation:

The tree makes a 90° angle with the ground, so we have a right triangle.

For the 32° angle, the height of the tree is the opposite leg. The length of the shadow on the ground is the adjacent leg.

The trig ratio that relates the opposite leg to the adjacent leg is the tangent.

Let the length of the shadow of the tree on the ground be x.

tan A = opp/adj

tan 32° = 140 ft/x

x = 140 ft/tan 32°

x = 224 ft

Answer: 224 ft

Answer:

X = 18

Y = 9√3

Step-by-step explanation:

use sin equation for right angle triangle

The sine of the angle

= ( the length of the opposite side ÷ the length of the hypotenuse.)

according to this question,

sin 30 = 9 / X

1/2 = 9 / X

X = 18

use cosine to find y

The cosine of the angle

= (the length of the adjacent side ÷ the length of the hypotenuse.)

cos 30 = y/x

√3/2 = y/ 18

y = 9 ✓3

Step-by-step explanation:

if

c = 3 + 6 = 9

and

n = 4 + 5 = 9

then it could be true

I'm sorry but there's not enough info

Step-by-step explanation:

Answer:

The triangle with vertices A (2 , 0) , B (3 , 2) , C (5 , 1) is isosceles right Δ

The triangle with vertices A (-3 , 1) , B (-3 , 4) , C (-1 , 1) is right Δ

The triangle with vertices A (-5 , 2) , B (-4 , 4) , C (-2 , 2) is acute scalene Δ

The triangle with vertices A (-4 , 2) , B (-2 , 4) , C (-1 , 4) is obtuse scalene Δ

Answer:

4/3 inches, or 1.33333 inches

Step-by-step explanation:

In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*

* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same

Answer:

see explanation

Step-by-step explanation:

Since PQ = PR , that is congruent legs of the triangle, then

Δ PQR is isosceles

Since ∠ QSR = 90° , then

Δ QSR is right angled