Rewrite the following equation in standard form.
y + 4 = 5(x - 8)

Answer:

[tex] - 5 - 1 \times (9 + x) - 4x = \\ - 5 - 9 - x - 4x = \\ -14 - 5x[/tex]

Given:

Two points are A(-7,2) and B(3,4).

To find:

The perpendicular bisector of AB.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Slope of AB is

[tex]m_1=\dfrac{4-2}{3-(-7)}[/tex]

[tex]m_1=\dfrac{2}{3+7}[/tex]

[tex]m_1=\dfrac{2}{10}[/tex]

[tex]m_1=\dfrac{1}{5}[/tex]

Procut of slopes of perpendicular line is -1.

So, slope of perpendicular bisect is opposite of reciprocal of [tex]\dfrac{1}{5}[/tex].

[tex]m_2=-5[/tex]

Midpoint of AB is

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-7+3}{2},\dfrac{2+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{6}{2}\right)[/tex]

[tex]Midpoint=\left(-2,3\right)[/tex]

Slope of perpendicular bisector is -5 and it passes through (-2,3), so the equation of perpendicular bisector is

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

where, m is slope.

[tex]y-3=-5(x-(-2))[/tex]

[tex]y-3=-5(x+2)[/tex]

[tex]y-3=-5x-10[/tex]

Add 3 on both sides.

[tex]y=-5x-10+3[/tex]

[tex]y=-5x-7[/tex]

Therefore, the equation of perpendicular bisector is [tex]y=-5x-7[/tex].

Answer:

81f^2 + 180f + 100

Step-by-step explanation:

(9f +10)(9f+10)= 81f^2+ 90f+ 90f+100 = 81f^2 + 180f +100

Answer:

81f^2+180f+100

Step-by-step explanation:

(9f+10)^2

you can group it so it's:

(9f+10)(9f+10)

and then multiply that out (FOIL)

9f*9f = 81f^2

9f*10=90f   10*9f=90f    90f+90f=180f

10*10=100

Answer:

14

Step-by-step explanation:

I hope this helps!

Answer:

14

Step-by-step explanation:

Step 1:

7/9 = q/18       Equation

Step 2:

9q = 126     Multiply

Step 3:

q = 126 ÷ 9       Divide

Answer:

q = 14

Hope This Helps :)

Answer:

commutative property

Step-by-step explanation:

Answer:

its commutative property and 5

Answer:

8000•1.05 8000(1.05)¹

(8000•1.05)•1.05 8000(1.05)²

((8000•1.05)•1.05)•1.05 8000(1.05)³

(((8000•1.05)•1.05)•1.05)•1.05 8000(1.05)⁴

8000(1.05)^t

Answer:

a line segment

Step-by-step explanation:

because a line segment is made my points at end of the line so a----b make a line segment

Answer:

298.15

Step-by-step explanation:

Answer:

The answer is "298.83 m"

Step-by-step explanation:

Its gap from its transmitter from each disc comprises of 2 triangles. Its horizontal segment via disc to vertical, and longitudinal segment. Disk height, h, is parallel to a horizontal disc Wink including its line across recipient to disc or horizontal 39. 48^{\circ}

[tex]\to 39. 48^{\circ} = \frac{h_1}{826 \ m}\\\\ \to 826\ m (\ sin 39. 48^{\circ} ) = h_1\\\\ \to 525.18 = h_1\\\\[/tex]

if:

[tex]\to \sin 39. 48^{\circ} = \frac{h_2}{1.296 \ km}\\\\ \to \sin 39. 48^{\circ} (1296 \ m) = h_2\\\\ \to 824.01 = h_2\\\\\to h_2 - h_1 = 824.01 - 525.18\\\\[/tex]

                  [tex]= 298.83 \ m[/tex]

Answer:

The simplified form is  [tex]\frac{6}{5x^{10} }[/tex] ⇒ A

Step-by-step explanation:

Let us solve the question

∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]

→ At first, divide simplify the coefficient of the variable

∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]

∵ 36 = 6 × 6 and 25 = 5 × 5

→ 6 and 5 repeated twice then the can go out the root one 6 and one 5

∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]

→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]

∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]

→ To cancel the root divide the power by 2

∵ -20 ÷ 2 = -10

∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]

→ To change the power of x from (-) to (+) reciprocal x

∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]

∴ The simplified form is  [tex]\frac{6}{5x^{10} }[/tex]

Answer:

x<-9 oops so that would be A :)

Step-by-step explanation:

You're welcome. :)

Answer:

The three medians intersect at a single point.

Step-by-step explanation:

PLATO MAKE BRAINLIEST PLZZ

Centroid is that point where median draw from the center of each side in a triangle meet.

The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.

Let,

There is a triangle ΔABC

Mark midpoints on sides AB, BC and CA which lets P, Q and R respectively.

Join PC, RB and QA

The point where PC, RB and QA meets called centroid.

Hence, the point of intersection of three medians is Centroid.

Learn more about Triangles:

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Answer:

A. 1.20x; individuals signing up the day of the activity get charged 20% more

Step-by-step explanation:

Amount charged before the day of activity = x

Amount charged on any individual who decides to sign up on the day of activity would be the normal price, x dollars, plus an additional price of 0.20x dollars.

0.20x = 20% of x.

That is, the additional fee added to the normal price is 20% of the normal price.

Therefore, amount paid on the day of the activity is x + 0.20x = 1.20x dollars.

What this fee means is that those who decide to sign up on the day of the activity are charged 20% more.

Answer:

-67, -56.2, 8.001, 78/9, 23, 34

Answer:

y=1

Step-by-step explanation:

Answer:

I pretty sure its C

Step-by-step explanation:

Answer:

applicant 3

Step-by-step explanation:

Step-by-step explanation:

To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The  y- coordinate is the value of b in the equation.

pls give brainest i only have 2

The slope intercept form is given by y = mx + c

The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.

Given here: Slope intercept form

We know that, the equation of a line in point slope form, where (x1, y1) is the point and slope m is:

(y – y₁) = m(x – x₁)

Here, (x, y₁) = (0, c)

Substituting these values, we get;

y – c = m(x – 0)

y – c = mx

y = mx + c

Therefore, the point (x, y) on the line with slope m and y-intercept c lies on the line if and only if y = mx + c

Hence, The slope intercept form is given by y = mx + c

Learn more about slope intercept form here:

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Answer:

-1

Step-by-step explanation:

divide both sides by 7 and you will get (n+4)=3

then subtract 4 on both sides and get n is equal to -1

Answer:

-1

Step-by-step explanation:

Answer:

The fourth one

Step-by-step explanation:

Three less then the quotient means you are subtracting 3 from a division problem. 1/2 the sum of a number and four means that there is going to be a variable and 4 in parenthesis that you will add before you multiply by 1/2.

Answer:

The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

Answer:

x>-1, x<2 or -1<x<2

Step-by-step explanation:

usining this method, by a compound x is larger than -1 and x is smaller than 2. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

Answer:

k=8.125

Step-by-step explanation:

just divide 13 by 1.6

(1) Compute the following sums:

(a) P150

i=1 2

(b) P50

n=1 n

(c) P60

n=10 n

(d) P25

n=1 3n2

(e) P55

i=1 (i + 2)

(f) P500

k=100 k

(g) P50

k=2 (k2 − 2k + 1)

(h) P20

m=10 m3

Solution: For the solutions to these, we will use the following results, which have been

established by Gauss’s formula, and the notation shown below for convenience:

S0(n) = Xn

i=1

1 = n S1(n) = Xn

i=1

i = n(n + 1)

2

S2(n) = Xn

i=1

i

2 = n(n + 1)(2n + 1)

6

S3(n) = Xn

i=1

i

3 =

n(n + 1)

2

2

(a) P150

i=1 2=2P150

i=1 1 = 2(150) = 300

(b) P50

n=1 n = (50)(50+1)

2 = 1275

(c) P60

n=10 n = P60

n=1 n − P9

n=1 n = (60)(61)

2 − (9)(10)

2 = 1785

(d) P25

n=1 3n2 = 3P25

n=1 = 3(25)(26)(51)

6 = 5525

(e) P55

i=1 (i + 2) = P55

i=1 i + P55

i=1 2 = (55)(56)

2 + 2(55) = 1650.

(f) P500

k=100 k = P500

k=1 k − P99

k=1 k = (500)(501)

2 − (99)(100)

2 = 120300

(g) P50

k=2 (k2 − 2k + 1) = P50

k=2 k2 − 2

P50

k=2 k + P50

k=2 1

= (P50

k=1 k2 − 1) − 2(P50

k=1 k − 1) + (P50

k=1 1 − 1)

= ( (50)(51)(101)

6 − 1) − 2( (50)(51)

2 − 1) + (1(55) − 1) = 40430

(h) P20

m=10 m3 = P20

m=1 m3 − P9

m=1 m3 = [ (20)(21)

2 ]

2 − [

(9)(10)

2 ]

2 = 46125

(2) A clock at London’s Heathrow airport chimes every half hour. At the beginning of the

n’th hour, the clock chimes n times. (For example, at 8:00 am the clock chimes 8 times,

at 2:00 pm the clock chimes fourteen times, and at midnight the clock chimes 24 times.)

The clock also chimes once at half-past every hour. Determine how many times in total

the clock chimes in one full day. Use sigma notation to write the form of the series before

finding its sum.

Solution: ¡¡ There is no solution for this problem. ¿¿

Answer:

x=35

Step-by-step explanation:

93=x+58

-58   -58

35=x

x=35

Simply subtract 58 on both sides so it crosses out, isolating x.

Also x would be 35 in case you need that.