Mathematics High School

Solve the equation |p − 8| = 4.

Answers

Answer 1

Answer:

p (4;12)

Step-by-step explanation:

lp - 8l = 4

---------------

p - 8 = 4

p = 12

---------------

- p + 8 = 4

p = 4

--------------

P: (4,12)

Answer 2

Answer:

P = -6 hope it helps

Step-by-step explanation:

Related Questions

help me

The fire department is setting off fireworks. They notice that the casings of the fireworks hit the ground 78 seconds after the firework was launched. The firework exploded at a maximum height of 760.5 meters.

Identify how you see the x- and y-intercepts and vertex in the table, graph, and equation. (Hint: You may want to rewrite the equation in equivalent forms.)

Answers

The firework is an illustration of the equation of a parabola.

The x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)

The casings hit the ground after 78 seconds.

This means that, a point on the graph is:

[tex]\mathbf{(x,y) = (78,0)}[/tex]

The firework exploded at a maximum of 760.5.

This means that, the vertex is:

[tex]\mathbf{(h,k) = (39,760.5)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

So, we have:

[tex]\mathbf{0 = a(78 - 39)^2 + 760.5}[/tex]

[tex]\mathbf{0 = a(39)^2 + 760.5}[/tex]

Subtract 760.5 from both sides

[tex]\mathbf{a(39)^2 =- 760.5}[/tex]

[tex]\mathbf{1521a =- 760.5}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{760.5}{1521}}[/tex]

[tex]\mathbf{a =- 0.5}[/tex]

Substitute [tex]\mathbf{a =- 0.5}[/tex] and [tex]\mathbf{(h,k) = (39,760.5)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex]

See attachment for the graph of [tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex].

From the graph:

The x and y intercepts are the points where the graph crosses the x and y axes. The vertex is the maximum point on the graph

From the equation:

Set x to 0, to calculate the value of y for the y-interceptSet y to 0, to calculate the value of x for the x-intercept.The vertex is represented as: (h,k)

Hence, the x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)

Answers

what’s the question i’ll try answer for u

Please help me on these :(

Answers

Step-by-step explanation:

8) 125=x+90° (exterior angle= sum of two opposite interior angle)

x= 35°

9) y=80° ( vertically opposite angle)

x= 180-50-80= 50°.

hope this helps you.

Solve 3x^2+ 5 = 2 using square roots

Answers

Answer:

[tex]x=\pm i[/tex]

Step-by-step explanation:

[tex]3x^2+5=2[/tex]

[tex]3x^2=-3[/tex]

[tex]x^2=-1[/tex]

[tex]x=\pm i[/tex]

Sally left the city for vacation. Sara left 5 hours later going 58 mph faster to catch up.
After 4 hours Sara caught up. What was Sally's average speed.
O 72.5 mph
O 54.6 mph
0 46.4 mph
0 64.5 mph

Answers

Answer:46.2

Step-by-step explanation:

hope this helps

Brainiest?!?! Please help me I'm running out of time??

Answers

Because if x is greater than y, then x-y wouldn’t be below 0 like it’s shown, so x must be less than y.

And if x is less than y, any negative y would mean x is negative as well since it’s always less than y. And as shown, x+y is positive so it’s impossible for y to be negative.

pls help
Given the first term and the common difference of an arithmetic sequence, find the
explicit formula, then find the term named in the problem.

Answers

Answer:

Step-by-step explanation:

an (the nth term ) = a1 + d(n - 1)

= 6 + 3(n - 1).

a17 = 6 + 3(17-1)

= 6 + 48

= 54.

[tex]( - 2 \\ \times \frac{1}{5} )[/tex]
[tex] \times [/tex]
[tex] ( - 5 \frac{3}{4} )[/tex]

put the answer as a mixed number please

Answers

Answer:

Step-by-step explanation:

[tex](-2)*\dfrac{1}{5}*(-5\dfrac{3}{4})=(-2)*\dfrac{1}{5}*\dfrac{-23}{4}\\\\ = \dfrac{23}{5*2}\\\\=\dfrac{23}{10}\\\\=2\dfrac{3}{10}[/tex]

What equation is equivalent to 4x+3x=7-6

Answers

Answer: A: 3x + 6 = 4x + 7 1: 9x = 4x + 7

B: 3(x+6) = 4x + 7 2: 3x + 18 = 4x + 7

C: 4x + 3x = 7 - 6 3: 3x = 4x + 7

4: 3x - 1 = 4x

5: 7x = 1

Step-by-step explanation:

Complete the following tables by filling in the missing values and determine the rule for each table:

Answers

i can’t do the c part.

What is the solution to the equation? ^5 /x+ 7= -2

Answers

Answer:

x=19/2

Step-by-step explanation:

5/x+7=-2

5=-2(x+7)

5=-2x-14

5+14=-2x

19=-2x

Therefore

2x=-19

x=19/2

Gabriella swims 2 laps per minute. What is the rate unit?

laps per minute
laps
1
2

Answers

Answer:

Step-by-step explanation:

Answer:

Laps per minuet

Example:

You are traveling at a rate of 45 miles per hour (or mph). Determine the unit rate and the rate unit.

Solution:

45 is the numerical part of the rate, or the unit rate.

Miles per hour is the unit part of the rate, or the rate unit.

Work out 1.6 X 10⁴ + 0.8 X 10⁴.

math work

Answers

Answer:

2.4× 10^4

Step-by-step explanation:

you just sum 1.6 with 0.8

[tex]2.4 \times {10}^{4} [/tex]

A line passes through point A(12,18). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

Answers

Answer:

the answer is Y = -1.5x + 36

There are 75 students enrolled in a camp. The day before the camp begins, 8% of the students cancel. How many students actually attend the camp?

Answers

Answer:

Answer=69

Step-by-step explanation:

8% of 75=6

75-6=69

Here is a list of numbers:
8.4, 8.6, 7, 7.6, 2.4, 9.7, 5.8, 5.2, 3.3
State the median.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

arrange the numbers in the other of magnitude

2.4,3.3,5.2,5.8,7,7.6,8.4,8.6,9.7

then check for the middle number(s)

median = 7

I need help with this can you show me how to work it out pls

Answers

Answer:

Answer is in the pic

Step-by-step explanation:

A translation is just a movement of the figure so in this case you just add 3 to the x part of the coordinate.

so originally k (-2,5) m (-3,1) l (1,1)

add 3 to x so

k (1,5) m (0,1) l (4,1)

I need help Please!!!!!!!!!!!!!!!!!!!!!!! I will give brain to who ever gets it right

Answers

Answer: i think its all of them are 5

Step-by-step explanation: sorry if im wrong

can anyone plz tell me how to lucid dream tonight without an alarm im 13 and i never had one ill give brainliet

Answers

get a journal and pencil and when you go to sleep, don't put on any alarms. then write down in the morning what you dreamt about. every detail you can thing of. if you have the dream again, write down more details. this will help you begin to lucid dream.

Hello if you answer this question i will post another question giving 100 points

Answers

Answer:

ok?

Step-by-step explanation:

Brainliest?

Answer:

what's your question even-

If f(x)= 3x-2 find x if f(x)= 19

Answers

Answer:

x=6

Step-by-step explanation:

3(6)+1=18+1=19.

which is greater -5/8 or 6/10 and why

Answers

Answer:

The answer is -5/8, smaller fractions are always closer to a whole number which make them more, another way to look at it is 5 is 3 numbers away from 8, and 6 is 4 numbers away from 10, which makes -5/8 greater.

Hope this helps!

PLEASE HELP WILL MARK BRAINLIEST!

Answers

Answer:

2 x 4 − x 3 + x 2 − 9

Step-by-step explanation:

The sum of the first n terms of a sequence is Sn = n(n + 1)(n + 2).
What is the 4th term of the sequence?
O 48
O 120
O 60
O 396

Answers

Answer:

Step-by-step explanation:

S₄ = 4(4+1)(4+2) = 120

S₃ = 3(3+1)(3+2) = 60

4th term = 120-60=60

#2
Are the following triangles similar?
Please help!!

Answers

Answer:

Yes

Because

[tex] \frac{pn}{kr} = \frac{pt}{kg} = \frac{tn}{gr} = \frac{1}{2} [/tex]

Also all angles are equal

Answer:

Yes

Step-by-step explanation:

Angle are equal and the ratio of the sides is 2:1.

Find the y intercept for the equation of the line that passes through point (-1 , 5)if the slope is 5

Answers

Answer:

the y-intercept is 10

Step-by-step explanation:

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

1. What is the total number of pupils who study Government?
2. How many pupils study only Government?
3. How many pupils study only Economics?

Please try as much as possible to explain your answers.

Answers

Answer:

Step-by-step explanation:

(48 - 23) + 6 = 31

23 - 6 = 17

(48 - 23) -6 = 19

The answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

It is given that:

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

Based on the information we can draw a Venn diagram:

From the Venn diagram:

A + B = 17 + 6

A + B = 23

B = 6

A + B + C = 48

A = 23 - 6 = 17

C = 48 - 17 - 6

C = 25

The total number of pupils who only study Government = 25

The total number of pupils who study Government = 25 + 6 = 31

The total number of pupils who study Economics only = 17

Thus, the answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.

Learn more about the Venn diagram here:

brainly.com/question/1024798

#SPJ2

What type of angles are these?
Vertical angles
Complementary angles
Adjacent angles
Supplementary angles
Linear pair

Answers

Answer:

adjacent angle

Step-by-step explanation:

a linear pair =180 so not it

supplementary and complementary can't be it either due to neither being right angles

not a vertical angle

right next to each other with a common line to connect them so adjacent angle

if M is a multiple of 3 and 7 then it is a multiple of 21

Answers

Answer:

It will be true , it is a multiple of 21

The length of a rectangle is 2x + 6. Its width is 52. Find the value of ac if the perimeter is 138m².

Answers

Answer:

ac = 18.5

Step-by-step explanation:

perimeter of a rectangle = [tex]2(l+b)[/tex]

= 138m^2= 2(2x + 6 ) + 52

= 4x + 12 + 52 = 138

= 4x + 64 = 138

= 4x = 138 - 64

= 4x = 74

= x = 74/4

= x = 18.5

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