Which is a solution to (x − 2)(x + 10) = 13?

Answers

Answer 1

Answer:

3

Step-by-step explanation:

3-2=1

3+10=13

1x13=13


Related Questions

This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?


144 square inches
184 square inches
224 square inches
264 square inches

Answers

Answer: C, 224 inches squared

Step-by-step explanation:

When formed into a solid, the triangles are folded upwards to make a pyramid. You can find the surface area by finding the areas of the individual shapes.

There are four triangles with a height of 10 inches and a base of 8 inches.

There is one square with a side length of 8 inches.

Triangle area formula : A = (b * h) / 2

Square area formula: A = s^2

(10 * 8) / 2 = 40

8 ^ 2 = 64

There are four triangles with area of 40 and one square with area of 64.

40 + 40 + 40 + 40 + 64 = 224 inches squared. The correct answer choice is C.

The surface area of the pyramid is 224 in².

What is surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given net will form a square pyramid, so we will find the surface area of the square pyramid.

Therefore,

The area of the pyramid = side² + 2 × side × height

= 8² + 2 × 8 × 10

= 64 + 160

= 224

Hence the surface area of the pyramid is 224 in².

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Which of the following statements is true for inverse functions ƒ(x) and g(x)?

Question 1 options:

A) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x

B) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 0

C) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 1

D) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = ƒ(x)​

Answers

Answer:

A

Step-by-step explanation:

Given: functions f(x) and g(x)

To choose: the correct option

Solution:

A function is a relation in which each element of the domain has a unique image in the co-domain.

Composition of functions refers to the combining of two or more functions such that the output of one function becomes the input for the next function.

Two functions f(x) and g(x) are inverse functions if (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x.

Answer:

A) (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x

Step-by-step explanation:

What are the roots of the graph below?

Answers

Answer:

-2,-1,1,2

Step-by-step explanation:

The term root is just another name for the x intercept so just look at where your line crosses the x axis and you will have your answer. Remember the y axis is not involved so it cannot be a co-ordinate.

In the following equations, t represents time in hours and m represents mass in mg Which of them (if any) would have a mass less than 50 mg after 2 hours? Select all that apply a. y = 100(0.5)^x b.y = 500(0.3)^x C. y = 80(2)^x d y = 10(1.2)^x e. y = 30(1.5)^x f. y = 80(0.2)^x g. y = 100(2)^x

Answers

Answer: A and C

Step-by-step explanation: Its right

Dale can type 32 words in 8 minutes.
What is his rate in words per minute?

Answers

4 words... 32 divided by 8 is 4

Answer:4 words per minute.

Step-by-step explanation:32 divided by 8 is 4.

Divide. Write the quotient in lowest terms. 4\dfrac{2}{3} \div 7 =4 3 2 ​ ÷7=4, start fraction, 2, divided by, 3, end fraction, divided by, 7, equals

Answers

Answer:

[tex]\dfrac{2}{3}[/tex]

Step-by-step explanation:

Given the quotient: [tex]4\dfrac{2}{3} \div 7[/tex]

Step 1: Write [tex]4\dfrac{2}{3}[/tex] in improper fraction.

[tex]4\dfrac{2}{3}=\dfrac{14}{3}[/tex]

Therefore:

[tex]4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7[/tex]

Step 2: Change the division sign to multiplication by taking the reciprocal of 7

[tex]\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

i did it in khan academy

PLS HELP ME
M^2- 7m+1 ?

Answers

Answer:

Step-by-step explanation:

factorize the given equation like this

m^2-7m+1

m^2-2m+1-5m

(m-1)^2-([tex]\sqrt{5m}[/tex])^2

(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])

Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect

at point V. Find the values of x and y. If necessary, round to the nearest tenth.

AN

x = 11.6

y = 11.6

= 11.6

y= 23.2

x = 18.3

y = 36.6

Answers

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

Applying this theorem in the diagram, we have:

[tex]TQ$ X TP=TR^2[/tex]

[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall earlier we got: x=11.6

2y=4 X 11.6

2y=46.4

Divide both sides by 2

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

please help! i do not understand

Answers

Answer:

90%

Step-by-step explanation:

Complimentary means the same. And adding them together would equal 90. Just as you would divide 90 by 3, each individual angle would be equal to 30.

correct answer is C). 90%

What are recipicles

Answers

Answer:

the quantity obtained by dividing the number one by a given quantity.

A square has a triangular hole in it. What is the area of the figure?
12 in
6 in.
4 in.
12 in
168 in 2
144 in 2
120 in 2
132 in 2

Answers

168 in 2 and then 132 in 2

Which formula(s) can be used to find the nth partial sum of a geometric sequence or the sum of the first n terms of a geometric series?

Answers

Step-by-step explanation:

An=A1. R raised to the power n-1

The rectangular prism below has a length of 18 inches, a width of 24 inches, and a height of 12 inches.



What is the surface area of the prism?

1,440 square inches

1,584 square inches

1,872 square inches

2,160 square inches

Answers

Answer:

1872

Step-by-step explanation:on edge

Answer:

C) 1,872 square inches

Step-by-step explanation:

Hope this helps!

Brainliest if correct pls??

Which ordered pair represents the coordinates of point H

Answers

Answer:

is there a picture?

Step-by-step explanation:

Answer:

1-4 0-6

Step-by-step explanation:

The rectangle below has an area of x^2-7x+10x square meters and a width of x-5x meters. What expression represents the length of the rectangle?

Answers

Answer:

The area of a rectangle is:

\sf A=lw

Plug in what we know:

\sf x^2-7x+10=l(x-5)

Factor the left side:

\sf (x-2)(x-5)=l(x-5)

Divide (x - 5) to both sides:

\sf l=\boxed{\sf x-2}

So the length is x - 2 meters.

Step-by-step explanation:

Help me I don’t get it :(

Answers

Answer:

How many people have the coronavirus. Press the link (website) to find the site and i can help you with the rest.

Step-by-step explanation:

Andrew got hired at grub burger and earns $8.25 an hour. Which choice is correct for filling the amount of $ going down? Each line separated by a comma.

Answers

Answer:

The given table is

Hours.    Earnings per hour.

  0

  4

  8

 12

Now, the unit rate is $8.25 per hour, according to the proble, this is the constant ratio of change, that means, we only need to multiply the number of hours with the unit rate.

[tex]0 \times 8.25=0\\4 \times 8.25= 33\\8 \times 8.25=66\\12 \times 8.25 = 99[/tex]

Therefore, the complete table is

Hours.    Earnings per hour.

  0                     0

  4                      33

  8                     66

 12                      99

Estimate the product. 0.55 x 2.2

Answers

Answer:

2

Step-by-step explanation:

0.55 rounded is 1,

2.2 rounded is 2.

1×2=2

have a great day

6.8x+9.3=-9.4+3.4(2-5x)

Answers

Answer:

x = -2.67

Step-by-step explanation:

6.8x + 9.3 = -9.4 + 3.4(-3x)

6.8x + 10.2x = -9.4 - 9.3

17x = -18.7

x = -2.67

Solve the equation in the interval from 510^\circ510 ∘ 510, degrees to 1050^\circ1050 ∘ 1050, degrees. Your answer should be in degrees. \sin(x)=0sin(x)=0

Answers

Answer:

540°, 720° and 900°

Step-by-step explanation:

Given equation sin(x) = 0 lying between the interval 510°≤x≤1050°. To find the value of x within this range, we first find the value of from the equation as shown;

sin(x) = 0

taking the arcsin of both sides;

[tex]sin^{-1}(sinx) = sin^{-1} 0\\x = 0^{0}[/tex]

Since x is positive in the first and second quadrant, in the second quadrant, the value of x will be 180°-0° = 180°

Subsequent value of x equivalent to 0° will be addition of 180° to each previous value gotten. The values of x within the range given are as shown

x1 =0°

x2 = 180°-0° = 180(2nd quadrant)

x3 = 180°+180° = 360°

x4 = 360°+180° = 540°

x5 = 540°+180°=720°

x6 = 720°+180° = 900°

x7 = 900°+180° = 1080°

We can see from the values above that the values of x that falls within the given range are 540°, 720° and 900°. This gives the required answers in degrees.

The surface area of a cone is 396π square inches. If the radius is 12 inches, find the slant height of the cone.

Answers

Answer:

Slant height = 33 inches

Step-by-step explanation:

r = 12 inches

Lateral Surface Area of cone = 396π square inches

πrl = 396π

π * 12 * l = 396π

[tex]l=\frac{396\pi }{12*\pi }\\[/tex]

l = 33 inches

A transcriptionist types 62 words per minute. Which statement is correct?

Answers

Answer:

C. The number of words, w, is the dependent variable

PLEASE HELP!!!

What is the volume of a cone with a radius of 3 and a height of 19?
A. 1083 units 3
B. 39.79 units 3
C. 179.07 units3
D. 537.21 units 3

Answers

Answer:

C

Step-by-step explanation:

V=1/3(3.14)(r)^2(h)V=1/3(3.14)(3)^2(19)V=57×3.14v=179.07unit 3

The volume of a cone with a radius of 3 and a height of 19 is 179.07 cubic units.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the  volume of a cone with a radius of 3 and a height of 19.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

r=3 and h=19

We have to find the space in the cone with radius 3 and height 19.

The formula for volume of the cone is V=1/3πr²h

We have to plug in the r and h values in formula.

V=1/3×3.14×(3)²×19

=1/3×3.14×9×19

=536.94/3

=179.07 cubic units

Hence, the volume of a cone with a radius of 3 and a height of 19 is 179.07 cubic units.

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Solve for the missing side

Answers

Answer:

c

Step-by-step explanation:

Determine the amount of stone needed to build one of the pyramids with a height of 145 m and a square base with a side length of 230m? Find the volume.

Answers

Answer:

Step-by-step explanation:

We would apply the formula for determining the volume of a square based pyramid which is expressed as

Volume = 1/3 × base area × height

From the information given,

Side length = 230m

Height = 145m

Since the base is a square,

Base area = 230² = 52900

Therefore,

Volume = 1/3 × 52900 × 145

Volume = 2556833.3 cubic meters

The amount of stone needed is expressed in volume.

James delivered 3/8 of the newspaper his route in the first hour and 4/5 of the rest in the second hour. What fraction of the newspaper did James deliver in the second hour?

Answers

Answer:

1/2

Step-by-step explanation:

Remaining fraction will be (1-3/8)=5/8

Given that in the second hour he delivered 4/5 of 5/8, then the fraction delivered in the second hour will be:

4/5 of 5/8

=4/5×5/8

=1/2

He delivered 1/2 (in fraction)

Is 0 rational or irrational?

Answers

Answer:

0 is rational.

Step-by-step explanation:

It counts as an integer.

Answer:

Rational

Step-by-step explanation:

Even though it doesn't look like it, 0 can be written as [tex]\frac{0}{1}[/tex].

Rational numbers can be turned into fractions when both numbers involved are integers and the denominator is not equal to zero.

Zero is a rational number.

I need help with this asap please! Any help will be appreciated!

Problem:
Determine the value of n such that ∜(〖64〗^(1/3) )=〖64〗^(1/n).

(I'm not sure if it makes sense because I just copied and pasted it here from my word document)

Answers

Answer:

n=3

Step-by-step explanation:

64^(1/3)

Note that the exponent 1/3 given stands for the third root of the integer.

64^(1/3) =4

Check: 4 x 4 x 4 = 64

(By comparison of 64^(1/3) to 64^(1/n) means n= 3)

∜(64^(1/3)) =∜(4) = 1.41421356

The real number is

All the roots are:

1.41421356

1.41421356i

−1.41421356

−1.41421356i

4 is not a perfect 4th power.

Write the sentence as an equation: 78 multiplied by k is k

Answers

Answer:

78k = k

Step-by-step explanation:

 

78k=k I believe idk if that’s correct

4400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 22 years, to the nearest cent?

Answers

Answer:20000000

Step-by-step explanation:

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