When 3x^2+ 18x - 21 = 0 is written in the form (x - p)^2= q, what is the value of q?

Answer:

125

Step-by-step explanation:

note that

625 = [tex]5^{4}[/tex]

Using the rule of exponents

[tex](a^{m}) ^{n}[/tex] ⇔ [tex]a^{mn}[/tex]

Then

[tex](5^{4}) ^{\frac{3}{4} }[/tex]

= 5³

= 125

Answer:

40

Step-by-step explanation:

5/7 divided by 56

Answer:

He made 40 shots and 16 shots were missed

Step-by-step explanation:

Answer:

Equivalent / Equal

Step-by-step explanation:

Answer:

b = 2

Step-by-step explanation:

For the graph to pass through the point, we have it that the coordinates of the point will work in the equation of the line

Hence, by substituting the x value, we can get the y value and by substituting the y value, we can get the x value

where f(x) is same as y in this case

Thus, we have it that;

3 = -(-1) + b

3 = 1 + b

b = 3-1

b = 2

4 + x=15

Step-by-step explanation:

x is unknown

so we are adding 4 and x to equal 15

Answer:

See Below.

Step-by-step explanation:

Statements                                                       Reasons:

[tex]1)\text{ } AC\cong DC[/tex]                                                      Given

[tex]2)\text{ } \angle B\cong \angle D[/tex]                                                      Given

[tex]3)\angle BCA \cong \angle ECD[/tex]                                            Vertical Angles are Congruent

[tex]4)\text{ } \Delta ACB\cong \Delta DCE[/tex]                                          AAS Congruence

[tex]5)\text{ } AB\cong DE[/tex]                                                      CPCTC

Step-by-step explanation:

1. 35°

2. 104°

3. 41°

4. 156°

5. 6

6. 10

Answer:

{y = 15/8 - (9 x)/8, y = -(7 x)/8 - 2}

{9 x + 8 y = 15, 7 x + 8 (y + 2) = 0}

Step-by-step explanation:

Answer:

kitkat

Step-by-step explanation:

kitkat

Answer: it’s b

Step-by-step explanation:

Answer:

Can you plz attach an image of the graph :O

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Write the equation of a line through the points (-4,7) and (-6,2). 2. Write the equation of a line through the points (2,-9) and (2,6) 3. Write the equation of the line perpendicular to the line in #1 with the same x-intercept

Answer:

:)

Step-by-step explanation:

:)

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

k = 8

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

k= 8

Step-by-step explanation:

1. Divide both sides ( 6 & 84)

2. Move the constant to the right ( k= 14-6)

3. Subtract and that leaves you with 8

Answer:  

(-1/2,1/2)

Step-by-step explanation:

Normally for sinx amplitude is 2 (1 +1). In the case when it is half sine amplitude is halved, therefore 0.5 +0.5 = 1 Paramers alpha = 2x does not matter because it only stretches the graph horizontally.

hope it helped

Answer:

Speed in miles per hour = 45 miles per hour

Step-by-step explanation:

Given:

Distance cover by Mrs Perez = 33.75 miles

Time taken by Mrs Perez = 3/4 hours = 0.75 hour

Find:

Speed in miles per hour

Computation:

Speed = Distance cover / Time taken

Speed in miles per hour = Distance cover by Mrs Perez / Time taken by Mrs Perez

Speed in miles per hour = 33.75 / 0.75

Speed in miles per hour = 45 miles per hour

Answer:

To get 20 cups of purple paint, the table shows that we need 8 cups of blue paint and 12 cups of red paint. We can solve the problem using double (or triple) number lines.

Answer:

66

Step-by-step explanation:

7 - 4 = 3

18 ÷ 3 = 6

6 × (4 + 7) = 66

Answer:

-1 = x              1 = x  

Step-by-step explanation:

We want to factor this first

-4x^2 = -4

x^2=1

sqrt x^2 = sqrt 1

x = ± 1

x=-1        x=1

P.PENEEEEEEEE,TE GUSTAA∞[tex]\pi \sqrt{x} x^{2} \neq \alpha \sqrt[n]{x} \sqrt[n]{x}[/tex]

Answer:

x is greater than or equal to 39

The second one is 11

Step-by-step explanation:

Answer:

12 units squared

Step-by-step explanation:

You need to find the area of each individual shape, and then add them together. The area of the square is 4 units squared. The triangle on the left is two units squared (base times height, divided by two,) and the area of the triangle on the left is 6. Add them all together, and you get 12 units squared.

Answer:

24

area is round the outside times them together and you will get the inside

Answer: Plank Houses

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

Find the original price by dividing 28 by 0.7

28/0.7

= 40

So, the original price was $40

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Isosceles triangles.

They have two sides equal to each other, so we get as,

==> 3x + 3 = 2x + 8

==> 3x - 2x = 8-3

==> x = 5

hence the length of AC = 5 units.

Answer:

AC = 5

Step-by-step explanation:

here's your solution

=> This is a isosceles triangle

=> both sides are equal.

=> AB = CB

=> 3x + 3 = 2x + 8

=> 3x - 2x = 8 - 3

=> x = 5

so, AC = 5

hope it helps

Answer:

a

Step-by-step explanation:

Answer:

x=-3.25

Step-by-step explanation:

.5x +12.3 = 7.1 -1.1x

+1.1x                  +1.1x

1.6x +12.3 =7.1

        -12.3   -12.3

1.6x = -5.2

/1.6      /1.6

x= -3.25

Answer:

565.49 or if rounded to the nearest tenth, 565.5

Explanation:

The formula for finding the volume of a cone is V=1/3Bh

B = pi times the radius squared

h = height

Substitute 6 for r and 15 for h.

V= 1/3·[tex]\pi[/tex]·([tex]6^{2}[/tex])·15

Multiply.

V= 565.49 or 565.5 rounded to the nearest tenth.