Write y = x2 – 18x + 52 in vertex form.
a
y = (x – 9)2 + 113
b
y = (x – 9)2 – 29
c
y = (x + 9)2 – 29
d
y = (x – 9)2 + 52

Answer:

The equation in slope-intercept form of the line that passes through the point (12, 5) and is perpendicular to the line is:

Step-by-step explanation:

We know the slope-intercept form of the line equation

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Given the line

[tex]y=34x-8[/tex]

comparing with the slope-intercept form of the line equation

The slope m = 34

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:  

slope = m = 34

Thus, the slope of the the new perpendicular line = – 1/m = -1/34 = -1/34

Using the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of slope = -1/35 and the point (12, 5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-5=-\frac{1}{34}\left(x-12\right)[/tex]

Add 5 to both sides

[tex]y-5+5=-\frac{1}{34}\left(x-12\right)+5[/tex]

[tex]y=-\frac{1}{34}x+\frac{91}{17}[/tex]

Therefore, the equation in slope-intercept form of the line that passes through the point (12, 5) and is perpendicular to the line is:

Answer:

10/Z=6/15

Step-by-step explanation:

To find the missing measurement we need to use similarity ratio

10/Z=6/15 cross multiply expressions

15z = 60 divide both sides by 15

z = 4

Answer:

x=24,sorry if im wrong:/

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

0.6x - 5 = 0.1x + 7

-0.1x          -0.1x

0.5x - 5 = 7

       +5     +5

0.5x = 12

(2)0.5x = 12(0.5)

x=24

Answer:

x = 32

Step-by-step explanation:

(4) x/4 = 8(4)

YOu want to find x so multiply to take 4 out.

The result of 490 divided by 7 is 70.

To calculate 490 divided by 7, we can perform long division as follows:

        70

   __________

7  |  490

   -  49  (7 times 7)

   _______

         0  (no remainder)

In the first step, we divide 7 into the first digit of 490, which is 4. The quotient is 0, and we bring down the next digit, which is 9.

Next, we divide 7 into 49. The quotient is 7, and there is no remainder.

Therefore, the answer to 490 divided by 7 is 70.

To know more about divided, refer here:

https://brainly.com/question/15381501

#SPJ6

Step-by-step explanation:

y=mx+c

2=(-4)(1)+c

2=-4+c

c=2+4

c=6

therefore the answer is...

y=-4x+6

Answer:

uhhh

Step-by-step explanation:

good luck my mane man

Answer:

the second one

Step-by-step explanation:

30/ (3+x)

Answer:

I think it's 4 and why do I have to write 20 letters?

Answer:

it's C.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

9*4=36

Answer:

36

Step-by-step explanation:

9x4=36

36 divided by 9=4

Answer:

x = 50

Step-by-step explanation:

Since the 2 legs are congruent, both 7, then the triangle is isosceles and the 2 base angles are congruent, then

x = [tex]\frac{180-80}{2}[/tex] = [tex]\frac{100}{2}[/tex] = 50

Answer:

The other answer is x = 1

Answer:

$3.25

Step-by-step explanation:

So,

If a package of 17 sliced apples is $2.21, lets find out the price per apple.

2.21 / 17 = 0.13

so, the price per apple is $0.13

Now, we find the price of a package with 25 sliced apples.

0.13 x 25 = 3.25

So, the price of a package with 25 sliced apples is $3.25

Hope this helps!

Answer:

58.1cm

Step-by-step explanation:

perimeter of a semi-circle = πd/2

d is the diameter

Given

diameter = 37cm

Perimeter of the semi circle =  π(37)/2

Perimeter of the semi circle = 18.5(3.14)

Perimeter of the semi circle = 58.09 cm

Hence the perimeter of the semi-circle is 58.1cm

Answer:

92

Step-by-step explanation:

20% of 460 tickets is 92

Answer:

92 tickets were sold to the children.

Step-by-step explanation:

To find the number, I multiplied 20% by 460, where I got 92.

Answer:

(2,4)

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

24 times 3 is 72

Answer:

The volume of the new model of Pluto is 195,432.20 cm^3

Step-by-step explanation:

new radius: 12 * 3 = 36 cm

volume: V=4/3 * π * r^3

volume of new mode is 195,432.20 cm^3

Answer:

None of these are correct? The correct answer is 34.

Step-by-step explanation:

Subtract 16 from each side, you get -x=-34

multiply each side by -1, you get x= 34

Answer:

18 or -18 depending if that is -x or x

Step-by-step explanation:

Answer:

(-2,-1)

Step-by-step explanation:

Midpoints are found when you do ([x(subscript A) + x(subscript B)]/2, [y(subscript A) + y(subscript B)]. Therefore your equation (for x of B) should look like this:

-4 = ([-6+x]/2)

After you solve for x, you should have gotten -2 for x.

Then you do the same for y:

2 = ([5+y]/2)

You should get -1. Your final answer should be (-2, -1)

Answer:

c

Step-by-step explanation:

yaal yw.

Step-by-step explanation:

we know that,

《opposite angle are equal in a rhombus 》

HERE,

one angle =2x

Opposite angle =3x-40

According to the question,

[tex]\tt{ 2x=3x-40 }[/tex]

[tex]\tt{3x=2x+40 }[/tex]

[tex]\tt{3x-2x=40 }[/tex]

[tex]\tt{ x=40 }[/tex]

#quality answer

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

In this given rhombus,

we know that

[tex]\boxed{\sf{opposite~ angle~ are~ equal ~in~ a~ rhombus }}[/tex]

According to the question,

Therefore.

The value of x In the given rhombus is 40°

Answer:

|-8|

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

Absolute value of -8 is 8, which is greater than the other values.

2nd one i believe

Step-by-step explanation:

Answer:

0.9375 ; 0.5

Step-by-step explanation:

Given that :

p = 0.5

Probability model for the Number of girls the couple has :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 0) = 4C0 * 0.5^0 * 0.5^4 = 0.0625

P(x = 1) = 4C1 * 0.5^1 * 0.5^3 = 0.25

P(x = 2) = 4C2 * 0.5^2 * 0.5^2 = 0.375

P(x = 3) = 4C3 * 0.5^3 * 0.5^1 = 0.25

P(x = 4) = 4C4 * 0.5^4 * 0.5^0 = 0.0625

Probability of having atleast one girl

Number of trials, n = 4

P(x ≥ 1) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4)

Using the relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Using calculator ;

P(x ≥ 1) = 0.9375

Probability of having exactly one boy or exactly one girl

1 boy 3 girls OR 1 girl 3 boys

P(x = 1)

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 1) = 4C1 * 0.5^1 * 0.5^3

P(x = 1) = 4 * 0.5 * 0.125

P(x = 1) = 0.25

The probability of having one girl, 3 boys and vice versa is 0. 25

Hence, Probability of having exactly one boy or exactly one girl

0.25 + 0.25 = 0.5

Answer:

The sum of the interior angles of any triangle are equal to 180

therefore in this triangle, m<a+m<c+m<b=180

we know that 9x-26 and m<a are supplementary angles (meaning they add to 180) and therefore,

9x-26+a=180

9x+a=206

a=206-9x

(206-9x)+(2x-12)+(4x+43)=180

combine like terms

-3x+237=180

-3x=-57

x=19

if x=19 then we can substitue it in for c

4x+43=c

4(19)+43=c

c=119

Step-by-step explanation: