Solve the system of equations algebraically.

*If necessary, write your answers as fractions in simplest form.

y = x + 2
y = -3x

Answer: m/HIF =110•

Step-by-step explanation:

The measure of angle HIF is 13.89°.

To find the measure of angle HIF (m∠ HIF), we need to use the fact that the sum of angles in a triangle is 180 degrees.

Let's denote the measure of angle JIF as y.

According to the given incorrect solution, we have:

m∠ JIF + m∠ IFJ + 90 = 180

But the sum of angles JIF and IFJ isn't necessarily 90 degrees unless we know more about the triangle or have additional information.

However, since we know that the sum of angles in triangle JIF is 180 degrees, we can use this to find the measure of angle HIF.

We have:

m∠ JIF + m∠ IFJ + m∠ HIF = 180

We know that m∠ JIF = 7x + 3 and m∠ IFJ = 2x + 6. Plugging these values in, we get:

(7x + 3) + (2x + 6) + 46 = 180

Combine like terms:

7x + 3 + 2x + 6 + 46 = 180

9x + 55 = 180

Subtract 55 from both sides:

9x = 125

Divide both sides by 9:

x = 125 / 9

Now, we can find the measure of angle HIF by substituting the value of x into the expression for m∠ HIF:

m∠HIF = 13.89°

C. Both can be used to withdraw money from ATMs.

A debit card and an ATM card share certain similarities, but they also have distinct differences. Let's focus on the similarities both can be used to withdraw money from ATMs (option c).

The primary similarity between a debit card and an ATM card is that they can both be utilized to withdraw cash from Automated Teller Machines (ATMs). When using either card at an ATM, the cardholder can access their bank account and withdraw funds, check balances, and perform other account-related transactions.

However, it is crucial to note the differences between these two types of cards. A debit card is linked to a checking or savings account and allows the user to make purchases in stores, online, or through other payment methods. It deducts the amount spent directly from the linked bank account. On the other hand, an ATM card is typically used only for ATM transactions and lacks the functionality to make purchases like a debit card.

In summary, both a debit card and an ATM card can be used to withdraw money from ATMs, but a debit card offers additional features and can be used for various transactions, including online and in-store purchases.

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Answer: y=2x+13

Step-by-step explanation: So you need to find the equation y=mx+b

So to find slope (m) you need to do is rise over run. So your slope would be 2.

Now we need to find your y-intercept (b). Your y-intercept would be 13. so your equation for the line of best fit would be y=2x+13

I hope this helped.

Answer:

The vertex is at (2,4)

Step-by-step explanation:

The parabola is given in the form

y = a(x-h)^2 +k

where (h,k) is the vertex

y=2(x-2)^2+4​

The vertex is at (2,4)

Answer: (2,4)

Step-by-step explanation:

I promise you

Answer:

C.80

Step-by-step explanation:

If you multiply all of the options 5x4x4 you will get 80

Answer:

2

Step-by-step explanation:

200=4(5)(9)+2(5)h

Simplify:

200=20(9)+10h

200=180+10h

Subtract 180 on both sides:

20=10h

Divide by 10:

h=2

Answer:

D

Step-by-step explanation:

65 is your "b" value in this linear equation

18 is your slope

Answer:

The probability of drawing a blue marble is 1 IN 4

Step-by-step explanation:

Answer:

[tex] - 0.6 - 3 - 15.75 = .9[/tex]

Answer:

-5

Step-by-step explanation:

khan academy

first is −0.6

then -5 because x each one by -5  

Answer:

h= 24 units

r= 7 units

[tex]volume = \frac{\pi {r}^{2}h }{3 } = \frac{\pi {(7)}^{2} \times 24 }{3} [/tex]

[tex] = \pi49 \times 8 \: \: {units}^{3} [/tex]

[tex] = 392\pi {units}^{3} [/tex]

option B

The Volume of Cone is 392π unit³.

The correct option is (B).

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

We have,

l = 25

Radius = 7 unit

Height = 24 unit

So, the Volume of cone

= 1/3 πr²h

= 1/3 π(7)²(24)

= π(49)(8)

= 392π unit³

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Answer:

3.063

Step-by-step explanation:

Answer: 3.063

Step-by-step explanation:

Answer:

Its D.

Step-by-step explanation:

7 is being divided from 3.

Answer: 7 divided by 3

Step-by-step explanation: 7/3 = 2.3 and so does 7 divided by 3.

Answer: SECOND OPTION.

Step-by-step explanation:

It is important to remember that, by definition, the "Resultant vector " is the vector obtained by adding two or more vectors.

 For this exercise you need to use the formula for calculate the magnitude of the resultant vector obtained by adding the vectors "a" and "b" shown in the picture attached:

[tex]c=\sqrt{a^2+b^2}[/tex]

Where "c" is the magnitude of the resultant vector asked in the exercise.

You need to analyze the graph given in the exercise.

You can identify that:

[tex]a=4\\\\b=3[/tex]

Then the next step, knowing which are "a" and "b", is to substitute values into the formula given at the beginning of this explanation, as following:

[tex]c=\sqrt{4^2+3^2}[/tex]

Finally, evaluating, you get that "c" is:

[tex]c=\sqrt{16+9}\\\\c=5[/tex]

The magnitude of the resultant vector a and b is 5.

The magnitude of the resultant vector a and b can be found using the Pythagorean theorem.

The Pythagorean theorem states that the magnitude of the resultant vector is equal to the square root of the sum of the squares of its individual vector components.

Let's assume vector a has a magnitude of 3 and vector b has a magnitude of 4. First, we square the magnitude of each vector: a^2 = 3^2 = 9 and b^2 = 4^2 = 16.

Then, we sum the squared magnitudes: a^2 + b^2 = 9 + 16 = 25. Finally, we take the square root of the sum: magnitude of the resultant vector = sqrt(25) = 5. So, the magnitude of the resultant vector a and b is 5.

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Answer:

k= 35 degrees do the very bottom

Step-by-step explanation:

55 + 35 = 90

Answer:

Step-by-step explanation:

Answer in the photo

A sphere that has a volume 0.288π inches cube has a radius of 0.6 inches

The volume of a sphere is described as follows:

volume of sphere  = 4 / 3 πr³

where

Therefore,

volume = 0.288π inches cube

Hence, the radius can be calculated as follows;

0.288π  =  4 / 3 πr³

divide both side by π

0.288 = 4 / 3r³

cross multiply

0.288 × 3 = 4r³

0.864 = 4r³

divide both sides by 4

r³ = 0.864 / 4

r = ∛0.216

r  = 0.6 inches

Therefore, a sphere that has a volume 0.288π inches cube has a radius of 0.6 inches

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Answer:

B. f(x) = 4 log(x+3)

Step-by-step explanation:

B. f(x) = 4 log(x+3) : shifted three units to the left of g(x) = 4 logx

The functions would result in a graph that is shifted three units to the left of g(x) = 4 log x is F(x) = = 4log(x+3).

The correct option is B.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

G(x) = 4 log x

As, If we want to shift a function to the left, we add a constant.

and, If we want to shift a function to the right, we subtract a constant.

Her, we have to shift left by 3 unit then we have to add.

Then, the translated function F(x) = 4log(x+3)

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Answer:

.498

Step-by-step explanation:

divide 3/18 and you get .166

Then divide 7/21 and you get .333

Then you must divide those two together, and you get .498

I think the answer is 3,053.628.

Answer:

3050

Step-by-step explanation:

V=4 /3xπxr/\3=4

3·π·93≈3053.62806

Answer:

y = 3[tex]\sqrt{7}[/tex]

Step-by-step explanation:

The two inner right triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = [tex]\sqrt{63}[/tex] = [tex]\sqrt{9(7)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{7}[/tex] = 3[tex]\sqrt{7}[/tex]

Answer:

24 minutes.

Step-by-step explanation:

8 people x 3 minutes of interview = 24 minutes of interview time.

Answer:

f=8*3.

Step-by-step explanation:

Since the Australian Cockroach measures 3.586 centimeters, and the American Cockroach measures 3.576, we should pay attention to the numbers being told.

3.586 and 3.576 have 3 in their thousands.

3.586 and 3.576 also have 5 in their hundreds.

In the tens, the eight is larger than the seven.

3.586 > 3.576

(I hoped this helped!)

Answer:

r=4

Step-by-step explanation:

you basically have to create a proportion. .5/12 = x/96. then u cross multiply

Answer:

C

Step-by-step explanation:

The equation y = x + 2 does not match these data points either. So, option D is not the correct answer.

Let's analyze each option:

A. y = -2x - 2

This equation represents a linear relationship with a slope of -2 and a y-intercept of -2. It does not seem to match the given data points.

B. -2

This is not an equation, so it cannot be a solution.

C. y = 8 + 2x, y = x + 1

The first equation, y = 8 + 2x, represents a linear relationship with a slope of 2 and a y-intercept of 8.

The second equation, y = x + 1, also represents a linear relationship with a slope of 1 and a y-intercept of 1.

Now, let's check if these equations match the given data points:

Data points: (X, Y) = (0, 0), (0, -4), (0, -2), (0, -4), (0, 0), (0, -1), (0, 2), (0, 6), (0, -6), (0, -1), (0, 2)

None of the equations in option C match these data points. So, option C is not the correct answer.

. y = x + 2

This equation represents a linear relationship with a slope of 1 and a y-intercept of 2.

Now, let's check if this equation matches the given data points:

Data points: (X, Y) = (0, 0), (0, -4), (0, -2), (0, -4), (0, 0), (0, -1), (0, 2), (0, 6), (0, -6), (0, -1), (0, 2)

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Answer:

320 meters

Step-by-step explanation:

(20*8*6)/3

Answer:

320 cubic meters.

Step-by-step explanation:

Volume = LxW/ h/3.

--> 20x8/6/3 = 320.

Answer:

(p³)² is p⁶, which is p·p·p·p·p·p

Hope this helps!

(edit: nevermind, this was in April of 2020)

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the given expression (p³)² can be rewritten as,

(p³)²

= p⁶

= p × p × p × p × p × p

Hence, The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.

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Answer:2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To determine which expressions are equivalent to -(8 divided by 3), let's perform the calculation first. Therefore the correct option is A

The division of 8 by 3 can be written as 8/3, which equals to 2.6666 (rounded to four decimal places). When we apply the negative sign to this result, we get -(2.6666) or -2.6666. Now, let's consider the given answer choices: A) 8 divided by -3: This expression corresponds to 8/(-3), which equals to -2.6666. Since this matches the calculated value of -2.6666, option A is equivalent.

B) -8 divided by -3: This expression translates to [tex](-8)/(-3),[/tex] which simplifies to 2.6666. As this value does not match the calculated result of -2.6666, option B is not equivalent. Therefore, by comparing the results, we can conclude that option A (8 / -3) is equivalent to -(8 / 3), while option B (-8 / -3) is not. To summarize, the expression -(8 /3) can be represented as 8 by -3 (option A). Option B (-8 / -3) is not equivalent.

Thus, the correct answer is A) 8 /-3.

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Answer:

x = 6

x = 16

y = 11

Step-by-step explanation:

Honestly you're not going to read this part but eh.

13x - 5 = 7x + 31 (because bisect means these two angles are congruent)

6x = 36 (combined like terms)

x = 6 (divided by 6)

Didn't read this either but eh again.

5x - 4 + 7x - 8 = 180 (because supplementary angles)

12x - 12 = 180

12x = 192

x = 16

Plug in to find y:

9y + 5 = 7(16) - 8

9y + 5 = 104

9y = 99

y = 11