what did I do wrong??

Answer:

4th option, x = -1 and x = 9

Step-by-step explanation:

3(x-4)²=75

or, (x-4)²=25

or, x²-8x+16-25=0

or, x²-8x-9=0

or, x²-9x+x-9=0

or, x(x-9)+1(x-9)=0

or, (x-9)(x+1)=0

so, x-9=0 or, x=9

and x+1=0 or, x=-1

The two solutions of the quadratic equation are:

x = -1 and x = 9

The quadratic equation is:

3*(x - 4)^2 = 75

We can expand it as:

3*x^2 - 3*2*4*x + 3*16 = 75

3x^2 - 24x  -27 = 0

Now, using Bhaskara's formula we get:

[tex]x = \frac{-(-24) \pm \sqrt{(-24)^2 - 4*3*(-27)} }{2*3} \\\\x = \frac{24 \pm 30 }{6}[/tex]

So the two solutions are:

x = (24 + 30)/6 = 9

x = (24 - 30)/6 = -1

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ5

find the square root and of 1+i√3​  

Answer:

I know mid point is (2,2)

Step-by-step explanation:

Answer:

g(1) = 1

Step-by-step explanation:

In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).

The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).

Answer:

11

Step-by-step explanation:

If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.

6, 7, 10, 12, 12, 13

Cross off all numbers until you get to the middle:

6, 7, 10, 12, 12, 13

Find the mean of the numbers in the middle:

10 + 12 = 22

22 / 2 = 11

The answer is 11

Hope this helped.

Answer:

11

Step-by-step explanation:

10+12=22

22÷2=11

median is equal to the middle number after being arranged in ascending order.

Answer:

V = 64 cm^3

Step-by-step explanation:

Volume of a cube is given by

V = s^3 where s is the side length

V = 4^3

V = 64 cm^3

Answer:

64

Step-by-step explanation:

i guess so as the volume is 4×4×4

Answer:

f(- 3) = - 3

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x) , that is

f(- 3) = - (- 3)² + 6 = - 9 + 6 = - 3

Answer:

-3

Step-by-step explanation:

Have x= -3.

f(-3) = -(-3)² + 6

       = -3

Answer:

Ascending order:

Decreasing order:

Answer:

There are 6 points on a coordinate plane. The points are (negative 5, 0), (negative 4, 1), (negative 3, 4), (1, negative 2), (2, 4), (5, negative 3).

A domain: {–5, –4, –3, –2, 0, 1, 2, 3, 4, 5}

B domain: {–3, –2, 0, 1, 4}

C domain: {–5, –4, –3, 1, 2, 5}

D domain: {(–5, 0), (–4, 1), (–3, 4), (1, –2), (2, 4), (5, –3)}

Answer:

what can i help u with

Step-by-step explanation:

Option C is correct that is domain is {-5,-4,-3,1,2,5}Explanation:The domain is the values that x will take

Answer:

pls correct your question

By using the corresponding angles theorem we can see that (6x - 5)° and (x - 25)° are supplementary angles, so they add up to 180°.

This means that:

(6x - 5) + (x - 25) = 180

7x - 30 = 180

7x = 210

x = 30

If you want to find the exact values of the angles, just plug x = 30 into the angle values! :)

Answer:

higddthhgffhjkkkmjguyfddd

Answer:

For it to be parallel the answer is B (3)

Answer:

B) 3

Explanation:

If two lines are parallel that means that their equations have the same value of slope.

Front: 60 cm^2

Area = 6 x 10 = 60

Back: 60 cm^2

Area = 6 x 10 = 60

Right: 30 cm^2

Area = 3 x 10 = 30

Left: 30 cm^2

Area = 3 x 10 = 30

Bottom: 18 cm^2

Area = 6 x 3 = 18

TOTAL: 216 cm^2

Formula I used:

SA of a rectangular prism:

2 (lw + hl + w)

Just use the formula without the “lw”. After you used the formula, just solve for “lw” again and add it back to the final answer. This is because the upper part of the prism is not included.

Answer:

216 square cm

Brainliest, please!

Step-by-step explanation:

A rectangle has 6 sides. 2 are the same, 2 are the same, and the final 2 are the same.

(6 x 10) x 2 = 60 x 2 = 120 (Front + Back)

(3 x 6) x 2 = 18 x 2 = 36 (Top + Bottom)

(3 x 10) x 2 = 30 x 2 = 60 (Left + Right)

120 + 36 + 60 = 216 square cm

Answer:

(x+7)(x-7)

Step-by-step explanation:

x²-49

=x²-7²

=(x+7)(x-7)

Answer:

(x+7) (x-7)

Step-by-step explanation:

 [tex]\sqrt x^{2}[/tex]-49

[tex]\sqrt x^{2}[/tex] - [tex]\sqrt{49}[/tex] = (x+7) (x-7)

Answer:

Step-by-step explanation:

I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:

[tex]V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx[/tex]

where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:

[tex]V=\pi\int\limits^5_3 {3^2}-0^2 \, dx[/tex]  and

[tex]V-\pi\int\limits^5_3 {9} \, dx[/tex]  and integrating:

[tex]V=\pi(9x\left \} {{5} \atop 3}} \right.[/tex] and using the First Fundamental Theorem of Calculus:

V = π(9(5) - 9(3)) and

V = π(45 - 27) so

V = 18π units cubed or in decimal format,

V = 56.549 units cubed

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20  =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25

Answer:

B. 15:20

Step-by-step explanation:

The simplest of all ratios is 3 to 5 since they are prime numbers; therefore, all the ratios but 1 will equal to 3 to 5.

Ratio A:   27 and 45 have a common factor of 9 so when you do (27 ÷ 9) to (45 ÷ 9) you get 3:5.

Ratio B: 15 and 20 have a common factor of 5, so when you do (15 ÷ 5) to (20 ÷ 5), you get 3:4. 3:4 is not equivalent to 3:5.

Ratio C: 9 and 15 have a common factor of 3, so when you do (9 ÷ 3) to (15 ÷ 3), you get 3:5.

The only one that isn't equivalent to 3:5 is B.

Hope this explanation helps :)

Answer:

D

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle, that is

perimeter = 20 + 13 + 21 = 54 → D

Answer:

B. neither perpendicular nor parallel

The correct option is (B).

To find the relationship between the lines with equations.

Statement that the values of two mathematical expressions are equal.

The given equation :

4x - 8y = 9

8x - 7y = 9

By the use of graphing calculator ,

The points obtained by solving these equation are (0,-1.286).

The relationship between the lines with equations 4x 8y = 9 and 8x 7y = 9 are neither perpendicular nor parallel.

The correct answer is neither perpendicular nor parallel.

Learn more about equation here:

https://brainly.com/question/24362056

#SPJ2

Answer:

16+74

Step-by-step explanation:

substitute 16 into the equation

It is a rectangle

The shaded thing

Must click thanks and mark brainliest

Answer:

Vc. Tính giai cấp

Step-by-step explanation:

Answer:

Step-by-step explanation:

The cross-section is an 8”×13” rectangle.

Area = 104 square inches

Answer:

The property showed in the number 21 is the distributive property