Write the equation of the line that is parallel to the given segment and that passes through the point (-3,0).
A. y=-3x + 9
B.
-1
y = -X-1
3
C.
1
y=-x+1
D. y = 3x - 1

Answer:

Option C

Step-by-step explanation:

=> 4p + 2 = 8

Subtracting 2 to both sides

=> 4p = 8-2

=> 4p = 6

Dividing both sides by 4

=> p = 1.5

Answer:

The answer is C.

Step-by-step explanation:

First, you have to subtract 2 to both sides :

[tex]4p + 2 = 8[/tex]

[tex]4p + 2 - 2 = 8 - 2[/tex]

[tex]4p = 6[/tex]

Next, you have to divide it by 4 :

[tex]4p = 6[/tex]

[tex]p = 6 \div 4[/tex]

[tex]p = 3 \div 2[/tex]

[tex]p = 1.5[/tex]

3.6 km / 40 rounds = 0.09 km per round.

0.09 km x 1000 m/km = 90 meters

The circumference of the circle is 90 meters

Using 3 as pi as told, divide the circumference by 3 to get the diameter:

Diameter = 90 meters/ 3 = 30 meters

Answer:

f(0) = 3

Step-by-step explanation:

Step 1: Distribute

f(x) = -3x + 3

Step 2: Plug in

f(0) = -3(0) + 3

f(0) = 3

Answer:

f(0) = 3

Step-by-step explanation:

f(x) = -3(x-1)

Put x as 0 and solve.

f(0) = -3(0-1)

Solve the brackets.

f(0) = -3(-1)

Multiply both terms.

f(0) = 3

Answer:

$36.41/week

Step-by-step explanation:

Divide 750 miles/wk by 28 MPG -> = 26.79 gallons/week (I rounded.)

Divide 750 miles/wk by 20 MPG -> = 37.50 gallons/week

Car -> 26.79 gallons x $3.40 = $91.09

SUV -> 37.50 gallons x $3.40 = $127.50

$127.50 - $91.09 = Difference of $36.41/week

The difference in the total weekly cost of gasoline is $36.43 if you drive an average of 750 miles per week.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

You drive an average of 750 miles per week in a car that gets 28 miles per gallon. With gasoline prices at $3.40 per gallon.

For the first car:

Total number of miles = 750 miles

The gasoline prices at $3.40 per gallon

The car that gets 28 miles per gallon

Number of gallons used = 750/28 = 26.785

The total price of the gallon used = 26.785x3.40 = $91.07

For the SUV car:

Total number of miles = 750 miles

The gasoline prices at $3.40 per gallon

The car that gets 20 miles per gallon

Number of gallons used = 750/20 = 37.5

The total price of the gallon used = 37.5x3.40 =  $127.5

The difference in total weekly cost of gasoline = 127.5 - 91.07 = $36.43

Thus, the difference in the total weekly cost of gasoline is $36.43 if you drive an average of 750 miles per week.

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Answer:

The single transformation that maps a onto c is the reflection of the triangle a  about the line y = -x

Step-by-step explanation:

To answer the question, we note that the result of reflection of a point (x, y) across the x axis is given as follows;

Coordinates before reflection = (x, y), Coordinates after reflection = (x, -y)

Also, when we rotate a  point, (x, y), 90° clockwise, we have;

Image point before 90° clockwise rotation = (x, y), Image point after 90° clockwise rotation = (y, -x)

Therefore, the rotation of the point (x, -y), 90° clockwise will give

Image point before 90° clockwise rotation = (x, -y), Image point after 90° clockwise rotation = (-y, -x)

Which gives the combined transformation as (x, y) → (-y, -x) which is the rule equivalent to reflection about the line y = -x.

Step-by-step explanation:

8x(7y+2)-4(7y+2)

=56xy+16x-28y-8

Answer:

56xy+16x-28y-8

Step-by-step explanation:

you have to use the FOIL method to solve this is problem which is

F-First

O-Outer

I-Inner

F-Last

Answer:

x=-6.5

Step-by-step explanation:

[tex]7\frac{1}{4} - 13\frac{3}{4}=-6\frac{1}{2}=-6.5[/tex]

Answer:

-1.67

Step-by-step explanation:

Answer:

342/6 = 57

Step-by-step explanation:

Just basic division

Answer:

A. 72

Step-by-step explanation:

Determinant of a 2x2 matrix: ad - bc

In that case,

24(18) - 30(12)

432 - 360

72

And we have our answer.

Answer:

16x2=32

Step-by-step explanation:

A multiple of 16 is any number divisible by 16. Multiplying 16 by 2 creates a number divisible by 16 and 2, meaning it is divisible by 16.

16x2=32 32/16=2

Answer:

5668.3

Step-by-step explanation:

The problem can be represented as a right angled triangle as shown below.

The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.

The altitude of the balloon is 2999 feet. (opposite)

Using trigonometric function, SOHCAHTOA, we can solve this:

[tex]sin(34) = \frac{opposite}{hypotenuse}\\ \\sin(34) = \frac{altitude}{distance}\\\\sin(34) = \frac{2999}{distance}\\\\distance = \frac{2999}{sin34}\\\\distance = 5668.3 feet[/tex]

The pilot is 5668.3 feet far away from the house.

Answer:

y - x = - 5

Step-by-step explanation:

Applying the rule gives

x = [tex]\frac{1}{3}[/tex] × 36 + 9 = 12 + 9 = 21

y = [tex]\frac{1}{3}[/tex] × 21 + 9 = 7 + 9 = 16

Thus

y - x = 16 - 21 = - 5

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The lines are parallel, they will never intersect

Answer:

no solution ( 0)

Step-by-step explanation:

If the lines have the same slope by different y intercepts, the lines are parallel

They will never intersect, so they have no solution

Answer:

34/95

Step-by-step explanation:

Since 38 students choose football and 23 students chose tennis, then 95 - 38 - 23 = 34 students chose running. The probability is 34 / 95.

Answer:

[tex]m=27[/tex]

Step-by-step explanation:

When something is directly proportional, it means that: [tex]a=kb[/tex], where [tex]k[/tex] is some constant (number).

We are given that [tex]m[/tex] is directly proportional to [tex]n^2[/tex], and [tex]m=75[/tex] when [tex]n=5[/tex].

So, we have...

[tex]a=kb[/tex]

[tex]m=kn^2[/tex]

[tex]75=k(5)^2[/tex]

[tex]75=25k[/tex]

[tex]k=3[/tex]

So the full equation is:

[tex]m=3n^2[/tex]

Now, to find the answer when [tex]n=3[/tex], simply put 3 into the equation.

Which gives:

[tex]m=3(3)^2[/tex]                     [tex]m=9(3)[/tex]             [tex]m=27[/tex]

Final answer: m=27.

Answer:

60

Step-by-step explanation:

The sum of interior angles in a triangle is 180

180-90-30=60

Answer:

x=1

Step-by-step explanation:

5x-4=9

5x=9-4

5x=5

x=1

Step-by-step explanation:

Simple Interest = PTR/100

=1000* 30* 6/100

=1800.

Amount= Principal + Interest

= 1000+1800

= $2800

The amount of money that has at the of 30 years is $​2800.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.

As per the given,

Principle amount P = $1000

Rate of interest R = 6%

Time span T = 30 years.

Total amount = Principle amount + Interest

Total amount = P + (PRT)/100

Total amount = $1000 + (1000 x 6 x 30)/100

⇒ $2800

Hence "The amount of money that has at the of 30 years is $​2800".

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Answer:

- 156250

Step-by-step explanation:

Find the ratio of the geometric sequence.

-10/2 =  -5

50/-10 = -5

The common ratio is -5.

Apply the formula.

an = ar^(n-1)

Where a is the first term and r is the ratio.

a8 = 2(-5)^(8-1)

a8 = 2(-5)^7

a8 = 2(-71825)

a8 = -156250

Answer:

A= BEP and BCG

Because they aree the only triangle

C= about 600 to 750

Step-by-step explanation:

Heres your answer girlfriend ♥️♥️

Have you followed me when I answered your last question???

Answer: 35 square inches

Step-by-step explanation:

Area of triangle = (l * w) / 2

Multiply

10 * 7 = 70

Divide by 2

70 / 2 = 35

Answer:

35 square inches

Step-by-step explanation:

area=base times height divided by one-half

7x10=70

70/2=35

Answer:

21

Step-by-step explanation:

7/8 = x/24

Cross multiply.

8x = 24 × 7

8x = 168

x = 168/8

x = 21

Answer:

answer is d

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

Multiplying 5.1 by 10^1 shifts the decimal point 1 place to the right.  We get 51.

Answer:

x = [tex]\frac{\sqrt{3} }{3}[/tex]

Step-by-step explanation:

You can either use the unit circle to find your values and then solve for x or plug it into the calc directly to find your answer (don't forget to put your mode on deg!). It is much faster to plug it into your calc. Simply just divide both sides by tan45°cos30° and you should isolate x and find your answer.

Answer:

The measure of angle a is 43 degrees.

Step-by-step explanation:

Angle P is congruent to Angle R. A triangle's angles add up to 180 degrees. 47*2=94. 180-94=86 degrees. 86/2=43 degrees.

Answer: 43°

Step-by-step explanation:

The degree of a triangle adds up to 180. We are given an angle of 47 and there is a right angle of 90

We now have 90 + 47 + a = 180

137 + a = 180

a = 43

Answer:

87th term is 497

Step-by-step explanation:

first, you have to find the nth term:

figure out the difference between your set of numbers (in our case +6)

that means that is 6n. next, the nth term is basically the 0th term so you have to find the 0th term. all you have to do is do the inverse of 6n (-6n or -6), which gives us -25.

nth term= 6n-25

now replace n with 87.

final step:

87*6 (6n and n=87) and that gives you 522. then, you have to do 522-25, due to the equation. 522-25=497

497 is your 87th term.

Answer:

Step-by-step explanation:

[tex]a = -19\\d = T_{2} -T_{1} \\d = -19-(-13)\\d = -19+13\\d = -6\\T_{n}= a+(n-1)d \\\\T_{87} = -19+(87-1)-6\\T_{87} = -19+(86)*-6\\T_{87} = -19-516\\T_{87} = -535[/tex]

Answer: 1324.12 sq. cm.

Step-by-step explanation:

A=2πrh+2πr2

A = 2π x 8.2 x 17.5 + 2π x 8.2^2

A = 2π x 143.50 + 2π x 67.24

A= 1324.12

Answer:

SA = 1324.1 cm²

Step-by-step explanation:

Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]

Where r = 8.2 cm, h = 17.5 cm

=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]

=> SA = [tex]901.6+2(3.14)(67.24)[/tex]

=> SA = 901.6 + 422.5

=> SA = 1324.1 cm²