Identify the scale factor used to dilate triangle ABC to triangle DEF.

A(2,6), B(4,2), C(8,8)
D(3,9), E(6, 3), F(12, 12)

A. 3/2

B. 3

C. 2

D. 5/2

Answer:

the y-intercept it at 3

Answer:

(3,0) !

Step-by-step explanation:

The y intercept is where the given line touches the y axis (the vertical line of a coordinate plane)

I hope this helps!

Answer:true

Step-by-step explanation:

Answer:

C.

Hope this helps.

Answer:

<A = 117degrees

Step-by-step explanation:

<A and <B are verticle angles, as given. Hence they will be of equal measures. It is given that <A = 5x -3, and <B = 4x + 21.

Using this, set up an equation;

<A = <B

5x - 3 = 4x + 21

Inverse operations,

5x - 3 = 4x + 21

    +3          +3

5x = 4x + 24

-4x   -4x

x = 24

Now substitute back in, to find the measure of <A,

5x - 3

x = 24

5 ( 24 ) - 3

120 - 3

117

Answer:

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

this is the guys above i just need points

Answer:

See Explanation

Step-by-step explanation:

[tex]1 - \sqrt{x} \neq \: 0 \\ \\ \therefore \: 1 \neq \sqrt{x} \\ \\ {1}^{2} \neq ({ \sqrt{x}) }^{2} \\ \\ 1 \neq \: x \\ [/tex]

Hence, x will take values other than 1.

Answer:

3.2ft long shadow

Step-by-step explanation:

In this problem we are given a ratio between the tree/shadow and woman/shadow therefore we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the length of the shadow which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...

55ft tall  <======>  32ft long shadow

5.5ft tall   <======>  x ft long shadow

(5.5 * 32) / 55 =  3.2ft long shadow

Finally, we can see that the woman's shadow would be a 3.2ft long shadow

Answer:

Step-by-step explanation:

f(x) = 2x³ + ax² - 7a²x - 6a³

= 2x³ - 2a²x + ax² - a³ - 5a²x - 5a³

= 2x(x² - a²) + a(x² - a²) - 5a²(x+a)

= (2x+a)(x - a)(x + a) - 5a²(x + a)

= (x + a)[(2x + a)(x - a) - 5a²]

= (x + a)(2x² - ax - 6a²)

= (x + a)(2x + 3a)(x - 2a)

x-a is the factor of the equation and x + a is not a factor of the equation,

All the roots of the equation are x + a, 2x+3a, x-2a.

"In algebra, a cubic equation in one variable is an equation of the form

ax^3+bx^2+cx+d=0

in which a is nonzero.

The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). "

Given equation is [tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3[/tex]

Now,

[tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3\\\\= 2x^3 - 2a^2x + ax^2 - a^3 - 5a^2x - 5a^3\\\\= 2x(x^2 - a^2) + a(x^2 - a^2) - 5a^2(x+a)\\\\= (2x+a)(x - a)(x + a) - 5a^2(x + a)\\\\= (x + a)[(2x + a)(x - a) - 5a^2]\\\\= (x + a)(2x^2 - ax - 6a^2)\\\\= (x + a)(2x + 3a)(x - 2a)[/tex]

Hence, the roots of the equation are x + a,  2x  +3a,  x - 2a.

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Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

replace x with seven then simplify

Answer:

x = -5 , y = 2

Step-by-step explanation:

Solve the following system:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Solve for y.

Subtract 2 x from both sides:

{y = -2 x - 8

-5 y + 3 x = -25

Hint: | Perform a substitution.

Substitute y = -2 x - 8 into the second equation:

{y = -2 x - 8

3 x - 5 (-2 x - 8) = -25

Hint: | Expand the left hand side of the equation 3 x - 5 (-2 x - 8) = -25.

3 x - 5 (-2 x - 8) = (10 x + 40) + 3 x = 13 x + 40:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Isolate terms with x to the left hand side.

Subtract 40 from both sides:

{y = -2 x - 8

13 x = -65

Hint: | Solve for x.

Divide both sides by 13:

{y = -2 x - 8

x = -5

Hint: | Perform a back substitution.

Substitute x = -5 into the first equation:

{y = 2

x = -5

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = -5 , y = 2

Answer:

7 shirts

Step-by-step explanation:

290/40 = 7.25

But since you can't have 7.25 shirts, it's just 7.

Answer:

Step-by-step explanation:

Unfortunately other people have promised to give Brainliest before and they never did. However, I'll answer the third question and tell you that it's 8 sides.

They have 310 stickers in total

Answer:

For the first one 25.925%

The second is 23.333%

The third is 27.27%

Let me know if this helps!

Answer:

Ricky get $4 than Sam.

Step-by-step explanation:

.25x80=20

80-20=60

.30×80=24

80-24=56

Answer: it’s 8 if that 29 is supposed to be a 39 otherwise i don’t know

Step-by-step explanation:

Answer:

61 meters

Step-by-step explanation:

The perimeter of a rectangle is 2l + 2w, l being the length and w being the width. Substitute the known value into the equation and solve:

312 = 2(95) + 2w

312 = 190 + 2w

122 = 2w

w = 61

First, not a function if we draw from A to E

Second, domain is -1 ≤ x ≤ 3

Third, range is -5 ≤ y ≤ 2

Answer: Domain=3,-1,3; Range=-5,-3,2

Step-by-step explanation:

Answer:

MN = 10

Step-by-step explanation:

There is a scale factor of 2 [This means that the lengths of triangle ∆MPN are exactly 2 times larger than ∆SRQ], so 5 × 2 = 10.

Notice that each corresponding line is marked by a black mark perpendicular to the side. Since 2 corresponds to 4, and 3 corresponds to 6, 5 must correspond to 10. These triangles are similar as indicated by the marks so there is just a size difference. Because these two triangles are similar, the sides must be proportional.

∆MPN ~ ∆SRQ.

It can also be thought of as completing a set of proportional fractions:

4/2 = 6/3 = ?/5

4/2 = 2 → 6/3 = 2 → ?/5 = 2.

?/5 = 2, ? = 5 × 2 = 10.

Answer:

Yes

Step-by-step explanation:

Yes it is

No 1 is correct

No 2 is correct

No 3 is correct

No 4 is correct

and what i mean by correct is you answered it correct

I hope this helps you :)

Answer:

yes

Step-by-step explanation:

yes it is

it is all correct

Answer:

2

Step-by-step explanation:

Given:

The interval, x = -2 to x = 0.

Required:

Average rate of change from x = -2 to x = 0.

SOLUTION:

From the graph,

If x = -2, f(-2) = 0.

If x = 0, f(0) = 4

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

[tex] a = -2, f(a) = 0 [/tex]

[tex] b = 0, f(b) = 4 [/tex]

Plug in the values into the formula:

[tex] = \frac{4 - 0}{0 -(-2)} [/tex]

[tex] = \frac{4}{2} = 2 [/tex]

Average rate of change from x = -2 to x = 0 is 2.

Answer:

I think it's commutative. ;-;

Step-by-step explanation:

Answer:

A≈84536

Step-by-step explanation:

After 14 year span, the money in the account would be $84,535.62.

Given that,
Jaxon invested $58,000 in an account paying an interest rate of 2.7% compounded quarterly.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,
principal(P)  =  85000
rate(r) = 2.7% = 0.027
Time(a)  = 14 years,
n = 4  
Apply compound interest identity,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 58000[ 1 + 0.027/4]⁴ˣ¹⁴
Amount = 84,535.62

Thus, After a 14-year span, the money in the account would be $84,535.62.

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Answer:

10. X= 11

11. X= 5

Step-by-step explanation:

5x-8+43=90

x= 11

--------------------

3x+3+72=90

x= 5

give brainliest pls

Answer:

The answer is Table B. Because only table B. doesn't have repeating x or domain.

Answer:

I think the answer might be b

Step-by-step explanation:

Error: She did not fully simplify [tex]\sqrt{12x^{3}}[/tex]

Correct simplification:

[tex]5x\sqrt{48x^{5}}\\\\=5x\sqrt{16x^{4}}\sqrt{3x}\\\\=5x(4x^{2})\sqrt{3x}\\\\=20x^{3}\sqrt{3x}[/tex]

Answer: 4.2x10^5=420000

Step-by-step explanation: its a positive five so you go in the positive direction from the decimal but if it was a negative you could go the other way (hope this helps)