8. Find GH,
E
3-4
HY
-
H
2
3x - 4
G
SI
F
9x - 59
D

Answer:

174

Step-by-step explanation:

Answer:

20

Step-by-step explanation

use the formula a²+b²=c²

since a=21 and c=29 you need to solve for b

Put 21 in for a and 29 in for c

21²+b²=29²

21²=441

29²=841

so then the equation would be 441+b²=841

subtract both sides by 441

then you have b²=400

now just find the square root of 400

√b²=√400

b=20

Answer:

100-(x+2)

Step-by-step explanation:

Answer:

100 − (x - 2)

Step-by-step explanation:

100-(x+2)

100+(-x-2)

-100x-200

100-(x-2)

100+(-x+2)

-100x+200

Answer: D

Step-by-step explanation:

To compare the two lines, we want to a=make sure that they are in the same form.

3y-x=-7           [add both sides by x]

3y=x-7            [divide both sides by 3]

y=1/3x-7

Now that the equations are in the same form, we can compare them.

In order for the equations to have the same y-intercept, the "b" must be the same. The y-intercept for the first equation is -4, while the y-intercept for the second equation is -7. Therefore, A is not the answer.

If the lines are parallel, they must have the same slope. Parallel lines NEVER touch or cross, hence the slope has to be the same. The slope for the first equation is -13, while the slope for the second equation is 1/3. Therefore, B is not the answer.

We know that E is not the answer because the paragraph above proved that the slope are not equal.

We also know that the equations do not represent the same line. If they are the same line, the equations would be identical.

We know that D is the correct answer. A system of linear equaitons can only have ONE solution. We set the equations equal to each other to find the solution. The intersection point is the solution.

Therefore, we know that D is the right answer.

Answer:

Slope=5/4

Step-by-step explanation:

To figure this out you need to know the equation y=mx+b. (m being slope and b being the y intercept.

Here your m would be 5/4, so 5/4 is your slope.

Answer:

Choice C

Step-by-step explanation:

We are given the function:

[tex]\displaystyle \large{f(x)=3x+5}[/tex]

Let [tex]\displaystyle \large{y=f(x)}[/tex] therefore:

[tex]\displaystyle \large{y=3x+5}[/tex]

To find an inverse of function, swap the position of x and y:

[tex]\displaystyle \large{x=3y+5}[/tex]

Then solve or simplify the equation in term of y:

[tex]\displaystyle \large{x-5=3y}\\\displaystyle \large{\frac{x-5}{3}=y}\\\displaystyle \large{y=\frac{1}{3}x-\frac{5}{3}}[/tex]

Therefore, the answer is choice C.

__________________________________________________________

Summary

An inverse function is a function that swaps the position of domain and range, defined as notation [tex]\displaystyle \large{f^{-1}(x)}[/tex] or [tex]\displaystyle \large{y^{-1}}[/tex] generally. When finding an inverse function, make sure to swap position of range and domain, if given the interval.

Only one-to-one functions may have an inverse — multiple-to-one can not have an inverse such as quadratic function or any even-degree polynomial functions.

__________________________________________________________

Others

If you’re still curious or stuck in this question or have any doubts regarding my explanation, answer or this question — always let me know through comments!

Answer:

Step-by-step explanation:

40·(3/4)= 10·3= 30 boys are Bible students.

Answer:

The answer would be 30 boys

Step-by-step explanation:

you would divise 40 by 4 which equals 10 and then 10x3=30 and then that would be the andwer to the problem of yours

Answer:

yes 4.5 is correct

Step-by-step explanation:

Answer:

Your friend owes you $4.50

Step-by-step explanation:

0.25 · 18 = 4.50

Answer:

for the first it is 12 and for the other its 13

Step-by-step explanation:

Answer:

5*12=60

3*13=39

Step-by-step explanation:

the important thing you need to know in solving mathematics is to understand the question and the formulae that follws.for finding equations ur general formulae us:

y-y1=m(x-x1)

do not solve y and x.

the y1 and x1 are ur x and y values from ur coordinates respectively.

m is ur gradient or slope given.

plug in the values.

Step-by-step explanation:

y-y1=m(x-x1)

y-4=2/5(x-(-2))

the x-(-2) will change to positive thus giving you an equation of:

y-4=2/5(x+2).

option 1

hope i helped ❤

Bro, we go to the same school, I'm reporting you to Mr. Fisher or whoever's homeroom you're in

Answer:

The mean of this weeks temp

The mean of last weeks temp

The range of this weeks temp

Step-by-step explanation:

:)

Answer:

1. The mean of this week's temp

2. The mean of last week's temp

3. The range of this week's temp

Step-by-step explanation:

that is what i think

Answer:

the answer is the first one

Step-by-step explanation:

The  functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is  A = 500(1.1)^4

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

given:

P= $500

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 500.00[tex](1 + 0.1/1)(1)^4[/tex]

A = 500.00[tex](1.1)^4[/tex]

A = $732.05

Hence, the functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is  A = 500(1.1)^4

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Answer:

yes becauss it can be expressed as a ratio

Step-by-step explanation:

Answer:

I think that the answer is 6

The greatest common factor of 42 and 96 is 6 so, option A is correct.

The biggest positive number that divides each of the two or more non-zero integers is known as the greatest common divisor.

Given:

The two numbers are 42 and 96,

Factorize the numbers as shown below,

42 = 2 × 3 × 7

96 = 2 × 2 × 2 × 2 × 2 × 3

Calculate the GCF as shown below,

GCF = 2 × 3

GCF = 6

Thus, the GCF is 6.

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Answer: 16 degrees

Step-by-step explanation:

(3x + 18) = 66

Because vertically opposite angles are equal

66 - 18 = 48

48 divided by 3

=16

Answer:

(1/3x) + 2

Step-by-step explanation:

you need to do the opposite reciprocal of -3x

the opposite sign of - is + so it is positive

the reciprocal of 3 is 1/3

Answer:

d=5

Step-by-step explanation:

1. use the distance formula: d=[tex]\sqrt{(x_{2} - x_{2} )^{2} +(y_{2} -y_{1} )^{2}[/tex]

2. plug in the points: d=[tex]\sqrt{(0-4)^{2} +(-9+6)^{2}[/tex]

3. solve problem inside parentheses: d=[tex]\sqrt{(-4)^{2} +(-3)^{2}[/tex]

4. square -4 and -3: d=[tex]\sqrt{16+9[/tex]

5. add:d=[tex]\sqrt{25[/tex]

6. find square root: d=5

Answer:

Step-by-step explanation:

What is the question asking

Answer:

A. x^2    x ≤ 1

B. value=0 because (0)^2=0

Answer:

  AD/DC = AB/CB

Step-by-step explanation:

The effect of an angle bisector is to make the sides of the triangle on one side of the bisector proportional to the corresponding sides of the triangle on the other side of the bisector. Here, that proportion can be written ...

  [tex]\dfrac{AD}{DC}=\dfrac{AB}{CB}[/tex]

Answer:

-2/9

Step-by-step explanation:

The slope of the line passing through the given points is  [tex]\frac{2}{-9}[/tex]

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Given are two points (2, 6) and (-7, 8) from which a line passes. We need to find the slope of the line.

We know that, the slope of a line passing through points (x₁, y₁) and (x₂, y₂) = (y₂-y₁) / (x₂-x₁)

In the given points, y₂ = 8, y₁ = 6, x₂ = -7 and x₁ = 2

Therefore, the slope of line = 8-6 / -7-2 = [tex]\frac{2}{-9}[/tex]

Hence, the slope of the line passing through the given points is  [tex]\frac{2}{-9}[/tex]

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60 ; 100

Hi there !

HCF = 20 = 4×5 = 2²×5

LCM = 300 = 3×100 = 3×4×25 = 2²×3×5²

LCM/HCF = 2²×3×5²/2²×5 = 3×5

a = 3×hcf = 3×20 = 60

b = 5×lcm = 5×20 = 100

Good luck !

Answer:

Step-by-step explanation:

Area=bh/2=64, b=2h --->h2=64 --> h=8 (positive root) and b=16.

Using opposite by the same vertex and supplementary angles, it is found that the measure of angle 4 is of 66º.

In this problem, angles 5 and 7 are opposite by the same vertex, hence:

m<7 = m<5 = 114º.

Angles 4 and 5 are supplementary, hence:

m<4 + m<5 = 180º.

m<4 = 66º.

The measure of angle 4 is of 66º.

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Answer:

250 watts

Step-by-step explanation:

If 16 floodlights together use 4000 watts of power, each floodlight uses 250 watts.

1. 16 floodlights use 4000 watts together

2. 4000÷16=250

3. 250 watts used by each floodlight

The answer might be incorrect, as power may not be straight forward to calculate with division, but hopefully the explanation helps!

Answer:

1

Step-by-step explanation:

Use the SOH-CAH-TOA method.

We are given an angle (37°).

We know a side that is opposite of the angle.And we are trying to find the hypotenuse.

So we use SOH

[tex] \sin(x) = \frac{o}{h} [/tex]

[tex] \sin(37) = \frac{0.6}{h} [/tex]

Isolate h

[tex]h = \frac{0.6}{ \sin(37) } [/tex]

Which gives us 1.

So the answer is 1.

The length of the rectangle is 18 cm, and the width is 24 cm as per the concept of perimeter.

Let the length of the rectangle be 3x and the width be 4x, where x is a common factor.

The perimeter of a rectangle is given by the formula:

Perimeter = 2 × (Length + Width)

Given that the perimeter is 84 cm, we can write the equation as:

84 = 2 × (3x + 4x)

Now, let's solve for x:

84 = 2 × 7x

42 = 7x

x = 42 / 7

x = 6

Now that we have the value of x, we can find the length and width of the rectangle:

Length = 3x = 3 × 6

           = 18 cm

Width = 4x = 4 × 6

          = 24 cm

Therefore, the length of the rectangle is 18 cm, and the width is 24 cm. The length and width are in the ratio 3:4, and the perimeter of the rectangle is indeed 84 cm.

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Answer:

Step-by-step explanation: