Find the value of A in the following expression
x³ + x² - 2Ax + A² has remainder 8 when divided by x - 2

Answer:

8 cm and 15 cm

The measure of the side is 15 cm

The measure of the right angle triangle is 8 cm, 15 cm and 17 cm

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle BC = 8 cm

The height of the triangle be AB = x cm

The hypotenuse of the triangle AC = 17 cm

So , for the triangle to be a right angle triangle ,

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

So , AB² = AC² - BC²

On simplifying the equation , we get

AB² = 17² - 8²

AB² = 289 - 64

AB² = 225

Taking square roots on both sides of the equation , we get

AB = 15 cm

Therefore , the value of x is 15 cm

Hence , The measure of the side is 15 cm

The measure of the right angle triangle is 8 cm, 15 cm and 17 cm

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Answer:

n<4

Step-by-step explanation:

4n-5<-9n+47

13n<52 |:13

n<4

Answer:

I think 53

Step-by-step explanation:

If the biggest line is 100 the do 100-47=53

Sorry if I’m wrong

Answer:

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

Step-by-step explanation:

As, this question is incomplete, so we will create similar question and complete it. '

Let's suppose Brielle's room has following dimensions:

Length of two walls =  10 ft

Length of other two walls = 12 ft

Height of the room from bottom to ceiling = 10 ft

In order to calculate the amount of paint needed, we need to calculate the surface area of the room to be painted.

So, for that, add all the lengths together and multiply it by height of the room.

SF = (L1 +L2 +L3+ L4) x H

SF = (10 + 10 + 12 + 12) x (10)

SF = 440 sq.ft = Actual footage of the room to be painted.

Now, we have convert this number in gallons to know the amount of paint required to paint Brielle's room. For this, we need to divide our SF to 350 sq.ft per gallon.

Paint Needed = 440 sq.ft / 350 sq.ft per gallon

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

Answer:

Electricity makes work easier.

We do not have to walk to a river to get water or wash our clothes and we can cook foods by switching a button.

Step-by-step explanation:

Answer:

hi how are you fineeeeee

Answer:

The correct option is (c).

Step-by-step explanation:

Lillian thinks that 7x⁵ - 4x³ is the same as 3x².

Option (a) :

7x⁵ - 4x³ = 3x²

It is wrong, as we cannot say directly that they are equal.

Option (b):

7x⁵ - 4x³ ≠ 3x²

It is wrong, as we cannot say directly that they are not equal.

Option (c):

7(2)⁵ - 4(2)³ = 3(2)²

LHS,

7(32) -4(8) = 192

RHS, 12

Here, LHS ≠ RHS

It is correct.

Option (d) :

7(2)⁵ × 4(2)³ = 3(2)²

Here, multiplication is done instead of addition. So, it is wrong.

Hence, the correct option is (c).

Answer:

14 5/8

Step-by-step explanation

1) Convert the mixed number to an improper fraction

3 3/8 = 3 x 8 + 3 / 8 = 24 + 3/ 8=  27/8

2) Convert the second mixed number to an improper fraction

4 1/3 = 4 x 3 + 1/ 3 = 12 + 1/3= 13/3

3) Multiply 27/8 x 13/3= 351/24 divided by 3 = 117/8 117/8 as a mixed number is 14 5/8

4) 14 5/8 is the final answer simplified

Answer:

[tex]\frac{117}{8}[/tex] (or [tex]14\frac{5}{8}[/tex] in mixed number form)

Step-by-step explanation:

1) First, convert [tex]3\frac{3}{8}[/tex] and [tex]4\frac{1}{3}[/tex] into improper fractions. (Multiply the denominator by the whole number at the front, then add the numerator. The number that you receive from this would be the new numerator, and the denominator would still be the same.) This would be [tex]\frac{27}{8}[/tex] and [tex]\frac{13}{3}[/tex] respectively.

2) Multiply the two improper fractions. Multiply the numbers of the numerators and denominators together:

[tex]\frac{27}{8}[/tex]·[tex]\frac{13}{3}[/tex]

[tex]\frac{351}{24}[/tex]

3) Simplify the fraction. Find a number that both 351 and 24 can divide evenly into - in this case, it is 3. Divide both 351 and 24 by 3 and receive the final answer:

[tex]\frac{351}{24}[/tex]÷[tex]\frac{3}{3}[/tex]

[tex]\frac{117}{8}[/tex]

If you need it in mixed number form, find what times 8 can get closest to the number 117 without going over it. In this case, it is 14, since 14 times 8 is 112, and 112 is the biggest number closest to 117 that is still under it. 14 would be the whole number at the front Include the remainder, or how far away 112 is from 117, which is 5, at the numerator. The denominator would stay the same. Therefore, the answer in mixed number form is [tex]14\frac{5}{8}[/tex].

Answer:

7) y= -2x + 2

8) y= -2x + 1

Step-by-step explanation:

Answer:

D. y=x+4

Step-by-step explanation:

The y value in this graph is the x value + 4, such as the points (0,4) and (2,6) that lie on the graph. You can also tell by the y intercept being 4 on the graph and the slope being one.

12) 4x- y=8

5x+y=1

Correct.

Answer:

[tex]slope \: s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} )} \\ s = \frac{(20 - 16)}{( - 8 + 6)} \\ s = \frac{4}{ - 2} \\ s = - 2[/tex]

Answer:

equivalent  i think

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

Distribute on both sides

combine constants

combine variables

then divide

Answer:

2(9x - 1) = 99-7(3 - 4x)

Step-by-step explanation:

2(9x + -1) = 99 + -7(3 + -4x)

Answer:

n = 4752 gallons

Step-by-step explanation:

Given

Dilivery: 396 dozen gallon in a day

RequirEd

determine the number of the gallon in a day

we understand that:

n= 396 dozen

unit conversion

1 dozen = 12

so

n = 396 dozen gallon

n = 396× 12

n = 4752 gallons

hence 4752 gallons milk is delivered daily

Answer:

ang E                 alternate angles

and D                 alternate angles

CDE                    alternate angles

Step-by-step explanation:

Answer: E and D good luck :)

Answer: look at my picture if you see it, it have the answer

Step-by-step explanation: hope this help you

Answer:82

Step-by-step explanation:

Answer:

The number in the thousands place uhm there isn't no thousands place so I think it's the hundredths place which is rounded to the nearest 0.01

Answer:

The slope of NP is [tex]\frac{-5}{7}[/tex] ⇒ B

Step-by-step explanation:

In square MNPR

∵ MN and NP are adjacent sides

∴ MN ⊥ NP

∵ M = (3, 8) and N = (-2, 1)

∴ x1 = 3 and y1 = 8

∴ x2 = -2 and y2 = 1

→ Use the rule of the slope above to find the slope of MN

∴ m(MN) = [tex]\frac{1-8}{-2-3}[/tex]

∴ m(MN) = [tex]\frac{-7}{-5}[/tex]

∴ m(MN) = [tex]\frac{7}{5}[/tex]

∵ MN ⊥ NP

∴ The product of their slopes = -1

→ Reciprocal the slope of MN and change its sign

∴ m(NP) = [tex]\frac{-5}{7}[/tex]

∴ The slope of NP is [tex]\frac{-5}{7}[/tex]

Answer:

y = 6x - 14

General Formulas and Concepts:

Pre-Algebra

Algebra I

Equality Properties

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Point-Slope Form]   y - 4 = 6(x - 3)

Step 2: Rewrite

Find Slope-Intercept Form.

Answer:

7/20

Step-by-step explanation:

90/100-2/5

=1/2

1/2-15/100

=7/20

Answer:

in part A the mark up in 140%

Step-by-step explanation:

so in part B  mark up the 25 dollar jacket by 140% that's 35 per jacket

divide 260 by 35 and it's 7.42... something.. so they will have to sell 8 jackets to make at least 260 dollars in total sales

Answer: y = 5/6x - 2

Step-by-step explanation:

Y =mx + b

Step 1 find slope also known as m:

Y2 - y1 / x2 - x1

3-(-7)/6-(-6) = 10/12 can be reduced to 5/6

Step 2 find b:

3 = 5/6 (6) + b

3 = 30/6 + b

3 = 5 + b

-5 - 5

-2 = b

Step 3 write equation:

Y = 5/6x - 2

Answer:

y=9 (x=-4.5)

Step-by-step explanation:

you have to split the equation up in order to solve

5y=45

divide by 5 on both sides

y=9

-10x=45

divide by -10

x=-4.5

Answer:

x={-3/2,-13/2}

Step-by-step explanation:

3-2|x+4|+3=1

-2|x+4|+6=1

-2|x+4|=-5

|x+4|=5/2

x+4=5/2

x+4=-5/2

x=5/2-4

x=-3/2

x=-5/2-4

x=-13/2

Answer: a = 3; b = 6

[tex](ar^{b})^{4}=81r^{24}\\\\<=>a^{4}.r^{4b}=3^{4}.r^{24}\\\\\\=>\left \{ {{a=3} \atop {4b=24}} \right.\\\\\\<=>\left \{ {{a=3} \atop {b=6}} \right.[/tex]

Step-by-step explanation:

Answer:

lool

Step-by-step explanation:

Answer:

a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.