Write the equation x2+24x+60=0 in the form (x+p)2=q

Write The Equation X2+24x+60=0 In The Form (x+p)2=q

Answers

Answer 1

Answer:

(x+12)^2=84

Step-by-step explanation:

x^2+24x+60=0

x^2+24x=-60

x^2+24x+(24/2)^2=-60+(24/2)^2

(x+24/2)^2=84

(x+12)^2=84 (ans)


Related Questions

pls help lol uh

thanks if you do im very confused

Answers

Answer:

I think it is b

Step-by-step explanation:

Answer:

B

graph B represents 1/2#1/6

1/2#1/6=3

Write the slope-intercept form of the equation for the line that passes through the point (-1,3) and has a slope of 5/3​

Answers

Answer:

[tex]y=\frac{5}{3}x+4\frac{2}{3}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

Given:

Slope(m) = [tex]\frac{5}{3}[/tex]

Point = (-1, 3)

To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:

[tex]3=\frac{5}{3}(-1)+b[/tex]

[tex]3=-\frac{5}{3}+b[/tex]

[tex]4\frac{2}{3}=b[/tex]

Now that we know the values of b and m, we can write the equation:

[tex]y = \frac{5}{3}x+4\frac{2}{3}[/tex]

Can someone help me on this Proofs problems? It's just number one and two.

Answers

See Explanation

Step-by-step explanation:

1. By interior angle sum Postulate of a triangle.

[tex] m\angle a+ m\angle y +m\angle z= 180\degree.... (1)\\\\

m\angle a+ m\angle w +m\angle x= 180\degree.... (2)\\\\[/tex]

From equations (1) & (2), we find:

[tex] m\angle a+ m\angle y +m\angle z= m\angle a+ m\angle w +m\angle x\\\\

m\angle y +m\angle z= m\angle w +m\angle x\\[/tex]

Hence proved

2. In [tex] \triangle PQS, \: \angle QSR [/tex] is exterior angle.

Therefore, by remote interior angle theorem, we have:

[tex] m\angle QPS + m\angle PQS= m\angle QSR\\\\

x + m\angle PQS= 2x\\\\

m\angle PQS= 2x-x\\\\

m\angle PQS = x.... (1)\\\\

m\angle QPS = x.... (given).... (2)\\[/tex]

From equations (1) & (2), we find:

[tex] m\angle PQS = m\angle QPS\\\\

\therefore \angle PQS \cong \angle QPS\\\\

\therefore PS \cong QS\\(sides\: opposite \: to\: congruent \:\angle s) \\\\[/tex]

[tex] \therefore \triangle PQS [/tex] is an isosceles triangle.

Thus proved.

Helppp ASAP plzz!!! Hurry

Answers

Answer:

Corresponding Angles

Step-by-step explanation:

They are the same

Answer:

Corresponding angles.

Step-by-step explanation:

Love your Christmas tree BTW!



The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many
students are girls?

Answers

Answer:

There are 15 girls and 21 boys

Step-by-step explanation:

Answer:

15 girls

Step-by-step explanation:

Determine the
constant of
proportionality.

Answers

Answer:

Step-by-step explanation:

Time is 2 miles 110 is 55 miles per hr

5 hrs *55 mph= 275

12*55= 660

Yes it is in proportion.

HELP PLEASE I NEED THIS QUESTION

Answers

9514 1404 393

Answer:

  B.  75.8 ft²

Step-by-step explanation:

The height of each triangle can be found using the Pythagorean theorem. The given edge length (7 ft) is the hypotenuse of the triangle, and the base edge length is twice one leg of the triangle.

The height of the triangle on the 2 ft faces is ...

  √(7² -1²) = √48 = 4√3

The height of the triangle on the 8 ft faces is ...

  √(7² -4²) = √33

The areas of the triangular faces are the product of the height and half the base length:

  A = 1/2bh

  2 ft edge triangle area = (1/2)(2 ft)(4√3 ft) = 4√3 ft²

  8 ft edge triangle area = (1/2)(8 ft)(√33 ft) = 4√33 ft²

__

The area of the rectangular base is ...

  A = LW

  A = (8 ft)(2 ft) = 16 ft²

__

The total surface area of the pyramid is the sum of the areas of the triangular faces and the area of the rectangular base.

  2(4√3 +4√33) +16 = 8(2+√3+√33) ≈ 75.813

The total surface area is about 75.8 ft².

Select all conditions for which it is possible to construct a triangle. A. Angle measures of 45 degrees, 45 degrees, and 90 degrees B. Triangle with side lengths of 4 cm, 5 cm and a 50 degree angle C. Angle measures of 120 degrees, 20 degrees, and 35 degrees D. Triangle with angle measures of 30 degrees, 60 degrees, and a side length of 3 cm

Answers

Answer:

It actually might be D or C

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i just did a test over that and it said D

...

Jordana drew the function below. Which statement correctly explains whether or not her function is linear?

On a coordinate plane, a parabola opens up.

A. It is linear because it has a constant rate of change.
B. It is linear because it does not have a constant rate of change.
C. It is not linear because it has a constant rate of change.
D. It is not linear because it does not have a constant rate of change.

Answers

D.it is not linear because it does not have a constant rate of change

Answer:

d

Step-by-step explanation:

i took the test

How much is 10% of $30

Answers

3 because you multiply 0.10 times 30

Mark has a collection of $20 bills and $5 bills. He has a total of 6 bills totaling $75.00. How many of each type of bill does he have?

You have to write and solve the system using elimination or substitution, please help

Answers

Answer:

He has 3 $20 and 3 $5

Step-by-step explanation:

20 x 3 = $60

5 x 3 = $15

15 + 60 = $75

-4/2/5 = -3/1/5 + 7/10g

Answers

Answer:

g=12/7

Step-by-step explanation:

Please help me solve this?

Answers

Answer:

12[tex]x^{4}[/tex]y[tex]z^{7}[/tex]√3x

Step-by-step explanation:

2√108[tex]x^{9}[/tex]y²[tex]z^{14}[/tex]

so you will need two of something to take one out from under the squareroot

we can rewrite [tex]z^{14} = z^{7} *z^{7}[/tex] so we can take a [tex]z^{7}[/tex] out

we can rewrite y² as y*y so we can take a y out

we can rewrite [tex]x^{9}[/tex] as [tex]x^{4} *x^{4} *x[/tex] so we can take a [tex]x^{4}[/tex]out

for 108 think what is the smallest prime number that divides 108 and is 2

108= 2*54

same algorithm, smallest prime number that divides 54 is 2 so

108=2*2*27

same algorithm, smallest prime number that divides 27 is 3 so

108=2*2*3*9

we know 9 is 3*3 so

108=2*2*3*3*3 we can take out one 2 and one 3

put them all toghether now

2*2*3*[tex]x^{4}[/tex]*y*[tex]z^{7}[/tex]√3x = 12[tex]x^{4}[/tex]y[tex]z^{7}[/tex]√3x

Hi can someone plz help me thank you

Answers

Cube it’s a cube Buddha
Cube, hope this helps!!

A small ice cream cone costs $2.00, a medium costs $2.75, and a large costs $3.25. Special toppings cost
extra. Melanie's medium cone with 2 toppings cost $3.35. What is the unit rate of cost per number of toppings
for a medium cone?

Answers

Answer:

0.30 per topping

Explanation:

3.35 - 2.75= 0.60

0.60 / 2 = 0.30

The points in the table lie on a line. Find the slope of the line.
X
-3
2
7
12
у
0
2
1
6
The slope of the line is
N

Answers

Answer:

n

Step-by-step explanation:

Cherries are on sale for $16 for 4 pounds. Jordyn pays $27.20 for cherries to make a pie. How many pounds of cherries does she buy?

Answers

Answer : Jordyn buys 6.8 pounds of cherries.

Explanation :
4 pounds of cherries for $16 = 4 pounds per dollar

x pounds of cherries for $27.20

$27.20/4 = 6.8 pounds of cherries.

A train company moves people between Boston and Providence every day. They travel from city to city 7 times each day. The distance between the two cities is 48 miles. In​ February, there are 28 days. The​ company's budget allows for​ 15,000 total miles in February. Do you think the budget is​ reasonable? Explain.

Answers

Answer: the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget

Step-by-step explanation:

Given data:

Distance between two cities = 48 miles

Number of days available in February = 28

February budget = 15000 miles

Solution:

If the distance between two cities = 48 miles, and 7 trips are made daily

= 48miles * 7

= 336 miles is travelled each day.

For February

= 28days * 336

= 9408 miles.

Budget – travel distance covered ( February)

= 15,000 - 9408

= 5592 miles.

The budget is reasonable because, by following the travel pattern or history the total travelled miles would be 9408 miles for February which is below the budget allowed by the company for the month.

So the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget.

need answer asap! will give brainiliest!!!
what are the steps for graphing linear equations?​

Answers

Чтобы построить линейное уравнение, мы можем использовать наклон и точку пересечения по оси Y.
Найдите точку пересечения оси Y на графике и нанесите точку.
С этого момента используйте наклон, чтобы найти вторую точку и построить ее.
Проведите линию, соединяющую две точки.

To graph a linear equation, we can use the slope and y-intercept.
Locate the y-intercept on the graph and plot the point.
From this point, use the slope to find a second point and plot it.
Draw the line that connects the two points.
to graph you can use slope and y-intercept.

Pleaseeee help im confused best answer will get brainliest.

Answers

Answer:

17y-9x

Step-by-step explanation:

12y-6x+5y-3x

12y+5y-6x-3x

17y-9x

The rectangle is 94 m long and 58 m wide find the area use the

Answers

Answer:

Area = 5452

Step-by-step explanation:

Area = l times w

94 x 58 = 5452

Write the Linear equation in Standard form.. Each pair of Socks in store cost 75php, and each pair of gloves costs 50php. If you want to spend exactly 425php, write an equation in standard form modeling this situation. Let x represent the number of pairs of socks you buy, and y represent the number of pairs of gloves you buy.

Answers

Answer:

An equation in standard form modeling this situation is:

75x + 50x = 425

Step-by-step explanation:

Let

x represent the number of pairs of socks you buy

y represent the number of pairs of gloves you buy

Each pair of Socks in store cost 75php, and each pair of gloves costs 50php. If you want to spend exactly 425php.

The equation is given as:

75php × x + 50php × y = 425php

= 75x + 50y = 425

Therefore,

the equation in standard form modeling this situation is:

75x + 50x = 425

T=4U/E SOLVE FOR U please please please help please thank you

Answers

TE/4 =U
Step by step
You multiply both sides by E to get rid of it then you have TE =4U and then u divide it by 4 and get TE/4 =U

CDE~CKJ

HELP PLEASE!!!

Answers

Answer is: D. 6
If it helps pls give me brainliest

Answer:

nah i said D first

\

Step-by-step explanation:

find the slope from the graph (help please)

Answers

For the slope I got 0

30 POINTS!! WHOEVER ANSWERS FIRST GETS BRAINLIEST! Jim wanted to find out what the audience thought about the debate. After the event,
Jim stood at the exit to survey every fifth guest.
Was this a random or a biased sample and why?
O A.
This was a biased sample. Jim should interview all in attendance.
OB.
This was a census. Any guest may have participated.
OC.
This was a random sample. It may not have included anyone in attendance.
O D.
This was a random sample. It may have included anyone in attendance.

Answers

Answer:

c

Step-by-step explanation:

i know its c

Answer:

Bru you did not give 30 points smh but its c

Step-by-step explanation:

Help me pls this is a test I need a good grade

Answers

Answer:

81.05/20 is the better deal and the unit rate is $4.05

Step-by-step explanation:

hopefully this helps :)

Answer:

the second deal is better. the unit rate is 4.05/gal

Step-by-step explanation:

106/25=4.24

81/20=4.05


Find the inverse of the function. *

Answers

Answer:

C.

Step-by-step explanation:

1.) switch x and y

x=(7y+18)/2

2.) multiply both sides by 2

2x=7y+18

3.) subtract 18 from both sides

2x-18=7y

4.) divide both sides by 7

(2x-18)/7=y

Sara borrows $56 from her mother to buy a new pair of jeans. If
Sara decreases her debt by $4 each week, how many weeks will
it take her to pay off the whole amount she owes her mother?

Answers

Answer:

Have an amazing night/day!

Step-by-step explanation:

14 i think ill edit if im wrong

What is the greatest common factor (GCF) of 36 and 54?
A.
27
B.
18
C.
9

Answers

Answer:

The answer is (B. 18) and I believe this is correct because 2×18=36 & 3×18=54

(I really do hope I made it understandable and hope it helps)

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