Divide quadratics by linear expressions (with remainders)
Divide the polynomials.
Your answer should be in the form p(x) +
where p is a polynomial and k is an integer.
3
37
22 + 4
3
Stuck? Watch a video or use a hint.
Report a problem

Answer:

84 regular light bulbs

Step-by-step explanation:

When there are 7 regular light bulbs to every 1 energy saving one, there will be 7 more added for every 1 energy saving light bulb that there is. So if there is 12 energy saving light bulbs, just multiply 7 by 12 and you will get your answer.

Answer:

Area = 7.5

Step-by-step explanation:

The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

Given the triangle with  vertices P(1,1), Q(-2,1), R(-1,-4)

Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

By using this formula

PQ = 3 , QR = 5.099 and PR = 5.385

Now,

The area of a triangle with  all three sides is given by

A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2

So,

S = (3 + 5.099 + 5.385)/2 = 6.742

Now,

A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]

A = 7.499 ≈ 7.5

Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".

For more about triangles,

https://brainly.com/question/2773823

#SPJ6

Answer:

2400

Step-by-step explanation:

because 6 percent of 40000 is 2400 please mark brianliest

Answer:

πr^2

Step-by-step explanation:

My 11th grade teacher taught me this song to remember the formula for area and circumference of a circle (to the tune of "Twinkle Twinkle Little Star"):

"Twinkle twinkle little star circumference equals 2πr. Area if you ever cared always equals πr^2."

Answer:

A=πr2

Step-by-step explanation:

i believe this is the formula

Answer: here's the answers to the problems

6) 17

8) 2.5

Answer:

6.  17

8.  2.5

Step-by-step Explanation:

4 x 3 + 6+9/3          12/3 + 2+7/5-3 - 6

12 + 15/3                  4 + 9/2 - 6

12 + 5                       4 + 4.5 - 6

= 17                          8.5 - 6

                                = 2.5

Answer:

8

Step-by-step explanation:

SW and UW are equal because they are at the midpoint . A midpoint is a point on a line segment that divides it into two congruent segments.

Answer:

multiplying by 3

Step-by-step explanation:

20x3=60 60x3=80. and the rest is the same.

Answer:

20 years

Step-by-step explanation:

We can find the time it took to invest

Using the formula for calculating simple interest as shown

SI = PRT/100

Given

Principal P =  $600,000

SI = $39,000

Rate R = 3 1/4%

Required

Time

Substitute

39,000 = 600,000*13/400 * T

39,000 * 400 = 600,000*13 * T

15,600,000 = 7,800,000T

T = 15,600,000/7,800,000

T = 20

Hence it took 20years for the sum invested to generate the interest

Answer:

WHATT IS THIS MATH IT LOOKS SO HARD:0

Answer:

7   1/3

Step-by-step explanation:

Lets do this in steps ok? K!

Important!!!: Look what operation is first in order of operation no parentheses or exponents so division and multiplication is first!

Step 1-- 4 x 7=28

Step 2-- 62 divided by 3 = 20      2/3

Step 3-- 28- 20   2/3

Step 4-- 27   3/3 - 20    2/3= 7    1/3

Hope this helps ∞<3

Answer:

[tex]-11.3333333333[/tex] [tex]or[/tex] [tex]-\frac{34}{3}[/tex] [tex]or[/tex] [tex]7\ \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{4\cdot7-62}{3}[/tex] = [tex]?[/tex]

[tex]4\cdot7[/tex] = [tex]28[/tex]

[tex]\frac{28-62}{3}[/tex] = [tex]?[/tex]

[tex]28-62[/tex] = [tex]-34[/tex]

[tex]\frac{-34}{3}[/tex] = [tex]?[/tex]

[tex]\frac{-34}{3}[/tex] = [tex]-11.3333333333[/tex] = [tex]7\ \frac{1}{3}[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer:

3/2y-3/8z

Step-by-step explanation:

-3/8(-4y)-3/8z

Answer: Area is 2250 and the peremiter is 210

Step-by-step explanation:

Answer:

Area :2250

Perimeter: 210

Step-by-step explanation:

For area just multiply the two side lengths and for perimeter just add them all together-75,75,30,30.

Given:

ΔONP and ΔMNL.

To find:

The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?

Solution:

According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.

In ΔONP and ΔMNL,

[tex]\angle ONP\cong \angle MNL[/tex]       (Vertically opposite angles)

To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.

Using a rigid transformation, we can prove

[tex]\angle NOP\cong \angle NML[/tex]

Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,

[tex]\Delta ONP\sim \Delta MNL[/tex]        (AA postulate)

Therefore, the correct option is A.

Similar triangles may or may not be congruent.

The additional information to prove ΔONP and ΔMNL are similar by AA similarity postulate is (a) Use a rigid transformation to prove ∠NOP ≅ ∠NML.

From the question, we have:

[tex]\mathbf{\triangle ONP \sim \triangle MNL}[/tex] --- ONP and MNL are similar triangles

Because the similarities of the triangles are to be proved by AA postulate, the following angles must be corresponding and congruent

[tex]\mathbf{\angle ONP \cong \angle MNL}[/tex]

[tex]\mathbf{\angle NOP \cong \angle NML}[/tex]

[tex]\mathbf{\angle PON \cong \angle LMN}[/tex]

Option (b) is incorrect because angles NOP and ONP are not corresponding angles

Options (c) and (d) are incorrect, because they prove the similarities by lines segments.

Hence, the correct option is (a).

This is so because, it proves the similarities of both triangles by using corresponding angles.

Read more about similar triangles at:

https://brainly.com/question/20502441

Answer:

m = 1[tex]\frac{1}{7}[/tex], y = 1[tex]\frac{1}{7}[/tex]x + 10

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (7, 2) and (0, 10)

m = [tex]\frac{rise}{run}[/tex]

   = [tex]\frac{2-10}{7-0}[/tex]

   = [tex]\frac{8}{7}[/tex]

   = 1[tex]\frac{1}{7}[/tex]

Based on the graph, the y-intercept is 10. Thus, the equation of the line is 1[tex]\frac{1}{7}[/tex]x + 10.

Answer:

Step-by-step explanation:

The hummingbird drank 8 times its weight in water:

The hummingbird ate half its weight in food

Required equation:

Answer:

t= 8w + 1/2w

Step-by-step explanation:

dysodjd kfudoandudslfhsotn

Answer:

sorry... but the image is all black

I cant see anything

Answer:

y = -2x + 5

Step-by-step explanation:

A(4, -3) ;      B(2, 1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{1-[-3]}{2-4}\\\\= \frac{1+3}{2-4}\\\\= \frac{4}{-2}\\\\= -2[/tex]

m = -2 ;  A(4,-3)

[tex]y - y_{1}=m(x-x_{1})\\\\y -[-3] = (-2)(x - 4)\\\\y + 3 = -2*x -4 *(-2)\\\\y + 3 = -2x + 8\\\\ y = -2x + 8 - 3 \\\\ y = -2x + 5[/tex]

Answer:

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Step-by-step explanation:

According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:

[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:

[tex]x_{B} = 1.25\cdot (14)[/tex]

[tex]x_{B} = 17.5[/tex]

[tex]y_{B} = 0.75\cdot (21)[/tex]

[tex]y_{B} = 15.75[/tex]

From (2):

[tex]m = \frac{15.75-21}{17.5-14}[/tex]

[tex]m = -\frac{3}{2}[/tex]

By (1):

[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Answer:

100 pieces

Step-by-step explanation:

11/220 = 5/x

1100=11x

x=100

Answer:

11 cars/day

Step-by-step explanation:

What we know:

After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.

Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.

I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.

Answer:

Step-by-step explanation:

Step one

Given the coordinates

ABCD with vertices A(−4, 2), B(8,2), C(11, 7), and D(-1, 7).

AB=(−4, 2), (8,2)

BC=(8,2), (11, 7)

CD=(11, 7),(-1, 7)

DA=(-1, 7),(-4,2)

The distance between points AB=

[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]AB= \sqrt (8+4)^2+(2-2)^2\\\\AB= \sqrt 12^2+(0)^2\\\\AB= \sqrt144\\\\AB=12[/tex]

The distance between points BC=

[tex]BC= \sqrt (11-8)^2+(7-2)^2\\\\BC= \sqrt 3^2+(5)^2\\\\BC= \sqrt34\\\\BC=5.8[/tex]

The distance between points CD

[tex]CD= \sqrt (-1-11)^2+(7-7)^2\\\\CD= \sqrt -12^2+(0)^2\\\\CD= \sqrt144\\\\CD=12[/tex]

The distance between points DA

[tex]DA= \sqrt (-4+1)^2+(2-7)^2\\\\DA= \sqrt -3^2+(-5)^2\\\\DA= \sqrt34\\\\DA=5.8[/tex]

Hence the perimeter of the footpath= 12+5.8+12+5.8

=35.7

Answer:

The first one is

5x * 10

(x is the variable) TIMES 10

Step-by-step explanation:

Answer:

Don't let anyone bring you down you matter you rock!

Step-by-step explanation:

Answer:

in your but

Step-by-step explanation:

nah jk its 3,-3

Step-by-step explanation:

Plug in y=3/4x-4 into desmos :)

Answer:

459 students.

Explanation:

Since you are given the number of how many students are in each section, simply multiply to find the total answer.

27 x 17 = 459

There are 459 students.

Answer:

459 students

Step-by-step explanation:

Since there are 27 students, and 17 sections, multiply the two numbers:

27 × 17 = 459

Answer:

3/4 slope

Step-by-step explanation:

Mark me brainleist please ;c

don’t make me cry ;c

Step-by-step explanation:

When the line moves up 3 blocks, it also moves across 4 blocks.

Therefore the slope of the line is 3/4.

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

4x + 9 = 2x + 15

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 21 does indeed equal 21.

∴ x = 3 is the solution to the equation.