simplify the following. (x²+2x)-(x²-7x)​

Answer:

42 units^2

Step-by-step explanation:

Break this into a rectangle and a triangle

The rectangle is 12 by 1

A = l*w = 12*1 =12

The triangle has a base of 6-1 =5  and a height of 12

A = 1/2 bh = 1/2 (5)*12 = 30

Add the areas together

12+30 =42

Answer:

[tex]42 \: {units}^{2} [/tex]

Step-by-step explanation:

First divide the shape into triangle and a rectangle

then find the Area of the triangle and the rectangle separately

Area of the rectangle

[tex]area = l \times b \\ = 12 \times 1 \\ = 12 \: \: {units}^{2} [/tex]

Area of the triangle

[tex]area = \frac{1}{2} \times bh \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 \: \: {units}^{2} [/tex]

Area of the shape

[tex]12 + 30 = 42 \: {units}^{2} [/tex]

Answer:

y = -2x +13

Step-by-step explanation:

you know the point is (5,3) and slope is -2

sub into the linear equation y=mx+b

3 = -2(5) +b

rearrange and solve for b

b= 3 + 10

b = 13

Answer:

x = 2

Step-by-step explanation:

0.3 (4 - x) = x - 1.4

1.2 - 0.3x = x - 1.4

-0.3x - x = -1.4 - 1.2

-1.3x = -2.6

x = 2

Answer:

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} 0,3(4-x)=x-1,4 \\\\1,2-0,3x=x-1,4 \\\\x+0,3x=1,2+1,4\\\\1,3x=2,6 \\\\\underline{x=2 \ \ \ \ \ \ \ } \\\\0,3(4-2)=2-1,4 \\\\2\cdot 0,3=0,6 \\\\0,6=0,6[/tex]

0.0910, I think.

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My dyslexia did not like theese numbers

Answer:

28x-16y+45.4

Step-by-step explanation:

Add up all the variables inside the bracket by first grouping like terms

Then, multiply through by 2 ✅✅

Answer:

In agreement to your twister question, a spinner can randomly select whether they want to put an arm or a leg, meaning this choice is entirely upon them. The color choice is also independent, so spinners are allowed to choose freely, whichever color as well as limb they want to move in the game of twister.

See the attached image for step by step explanation of the final probability

Answer:

C

A

Step-by-step explanation:

adjacent means neighboring, right next to it. that would be 1 and 4.

supplementary means being a complementary, an additional angle, so that in sum both angles together have 180 degrees. and that is only 1.

so, C is the answer.

angle 7 = 115 degrees.

so, angle 8 is supplementary to angle 7.

they are being mirrored on the other side of the line.

so, angle 6 = angle 7, and angle 5 = angle 8.

and the same quadruple of angles have to appear, where the crossing line crosses another, parallel line. they have to be the same angles there again.

so, angle 3 = angle 7, angle 4 = angle 8, angle 1 = angle 5, angle 2 = angle 6.

and because angle 6 is also = angle 7, we have angle 2 = angle 7 = 115 degrees.

Answer:

C and A

Step-by-step explanation:

∠ 5 and ∠ 1 are adjacent ( next to each other) on the same line

The angles on a straight line sum to 180° ( supplementary )

Then ∠ 1 is adjacent and supplementary to ∠ 5 → C

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∠ 2 and ∠ 7 are alternate exterior angles and are congruent , then

∠ 2 = ∠ 7 = 115° → A

The question given is incomplete as the information about the headphones isn't given.

However, we can solve the problem by using hypothetical values.

Answer:

Kindly check explanation

Step-by-step explanation:

Given

Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent.

Let :

The number of defective headphones = 10

The total number of headphones on the sample = 50

To express as a ratio :

Defective headphones : total headphones

10 : 50 = 1 : 5

To express as a percentage ;

1 / 5 * 100% = 20%

Answer:

2*sqrt(5)

Step-by-step explanation:

By using Pythagoras theorem, we have

4^2+2^2=(the third side)^2

16+4=(the third side)^2

Third side=sqrt(20)=2*sqrt(5)

Answer:

5/27 ft²

Step-by-step explanation:

a = 1/3

b = 1/3 × 5/3 = 5/9, as 1 2/3 = 5/3

the area of the rectangle is a×b

Ar = 1/3 × 5/9 = 5/27 ft²

Answer: f(x) = -(x-1)^2+5

Explanation:

f(x) = h(x) + 6

f(x) = -(x-1)^2 - 1 + 6

f(x) = -(x-1)^2+5

Must click thanks and mark brainliest

Answer:

A

Step-by-step explanation:

Given the 2 equations

2x + y = - 5 → (1)

- x + 3y = 6 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the x- term

- 2x + 6y = 12 → (3)

Add (1) and (3) term by term to eliminate x

0 + 7y = 7

7y = 7 ( divide both sides by 7 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 1 = - 5 ( subtract 1 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

solution is (- 3, 1 ) → A

real numbers, integers, rational numbers

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

Explanation:

So far in your studies, every number is a real number. This is assuming your teacher hasn't introduced complex or imaginary numbers yet.

So that's why -12 is a real number.

Choice A is one of the answers

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The set of whole numbers is {0,1,2,3,4,...} so we aren't including negative values here, which rules out choice B. However, the set of integers does include negative values

{..., -3, -2, -1, 0, 1, 2, 3, ...}

That makes -12 an integer

Choice C is one of the answers

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The value -12 is not irrational because we can write it as a fraction of two integers. Eg: -12 = -12/1

This shows that -12 is rational and why choice F is one of the answers and allows us to rule out choice D.

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We can rule out choice E because the set of natural numbers is {1,2,3,4,...} basically the set of whole numbers but we kicked out 0.

The requried, -12  is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

Here,

Only sets that consist of negative values are, real numbers, integers, and rational numbers.

So - 12 is a negative number that belongs to the set of real numbers, integers, and rational numbers.

Thus, the requried, -12  is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.

Learn more about the number system here:

https://brainly.com/question/22046046

#SPJ2

Answer:

D

Step-by-step explanation:

R: (50, 450)

Answer:

D

The R (range) is: (50, 450)

Answer:

Step-by-step explanation: 10 meters/3 meters =x/4.5 meters

Where x = the maximum distance the projector can be placed that can produce an image 4.5 meters high

3x = 10 (4.5)

3x = 45

X= 45/3

X= 15 meters

So, the maximum distance that the projector can be placed from the screen which produces an image 4.5 meters high is 15 meters.

Answer:

y - 5 = -1/6 (x - 4)

Step-by-step explanation:

y = 6x - 1          y = -1/6x + b

y - 5 = -1/6 (x - 4)

Answer:

yes but something like that

Answer:

5

Step-by-step explanation:

We know that

[tex]x + y = 3[/tex]

and

[tex]xy = 2[/tex]

Solve for x in first variable

[tex]x = 3 - y[/tex]

Substitute this into second equation

[tex](3 - y)y = 2[/tex]

[tex] - {y}^{2} + 3y - 2[/tex]

Simplify

[tex] {y}^{2} - 3y + 2[/tex]

[tex](y - 1)(y - 2)[/tex]

[tex]y = 1[/tex]

[tex]y = 2[/tex]

So x or y can be

[tex]x = 1 \: \: y = 2[/tex]

or

[tex]x = 2 \: \: \: y = 1[/tex]

So we need to find x^2 and y^2.

[tex] {2}^{2} + {1}^{2} = 5[/tex]

Answer:

-11

0

Step-by-step explanation:

Answer:

8.1 = LM

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

13 * 5 = LM^2

65 = LM^2

sqrt(65) = LM

8.06225 = LM

To one decimal place

8.1 = LM

Answer:  Choice B

1 & 3/4

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Explanation:

Rewrite 1/2 into 4/8 so that it has the same denominator as 7/8.

Now that the denominators are the same, we focus on the numerators. This is because the equal denominators cancel out when we divide the fractions later on.

We'll divide the numerators 7 and 4 to get

7/4 = (4+3)/4

7/4 = (4/4) + (3/4)

7/4 = 1 + (3/4)

7/4 = 1 & 3/4

Meg can get 1 & 3/4 servings from the jug.

Refer to the attachment

Answer: B

No, because y does not change by 5 every time x changes by 1

Step-by-step explanation:

rate of change is basically slope

if the rate of change of the function of 5, then the slope will be 5/1

The x changes by 1 every time y changes by 4

so the slope of the function is 4

Answer: there is no picture attached or equation? what's the question?

Step-by-step explanation:

ok, what do you need help with?

Step-by-step explanation:

Any real number that cannot be expressed as the quotient of integers

I HOPE THE DAY GOES GREAT.

Answer:

13. 1

14. 42

15. 65

Step-by-step explanation:

13.

If the average of two numbers is 1, then the sum of those two numbers is 2. As 2*1 is 2, and the average is found by dividing the sum by the amount of numbers.

Only one number is an integer and has a reciprocal that is an integer, the number being 1.

1/1 = 1

1/1 = 1

Average:

1+1 = 2

2/1 = 1

Therefore the answer is 1.

14.

If we multiply everything by 7x, we'd get

7 + x = 49

subtract 7 on both sides

x = 42

15.

If

pg = 50 and gr = 15

then

pg + gr = 65

factoring that would give you

g(p+r) = 65

I can't see 16 but good luck!

Answer:

the points indicats exterior of the angle

Answer:

$15 and 3600ft^2

Step-by-step explanation:

C) There are 16 white tiles used. The unit cost of a white tile=240/16=$15

E) The cafeteria area consists of 36 tiles of dimensions 10 ft x 10 ft, so the area of the floor is 3600ft^2

Answer:

24.68 gram

Step-by-step explanation:

Given that :

Volume = 182.8 ml

Density of liquid = 0.135 gram/ml

Recall :

Density = mass (g/ml) / volume (ml)

Substitute the value into the equation :

0.135 = mass / 182.8

Mass = 0.135 * 182.8

Mass = 24.678 gram

Hence, weight = 24.678 grams