Find the value of x if 12x=34^2 - 26^2

Answers

Answer 1

Answer:

[tex]\boxed{\sf x =40}[/tex]

Step-by-step explanation:

[tex]\sf 12x=34^2 - 26^2[/tex]

Solve the square.

[tex]\sf 12x=1156-676[/tex]

[tex]\sf 12x=480[/tex]

Divide both sides by 12.

[tex]\displaystyle \sf \frac{12x}{12} =\frac{480}{12}[/tex]

[tex]\sf x =40[/tex]


Related Questions

Find the surface area of the right rectangular prism shown below. units²

Answers

Answer:

67 units^2

Step-by-step explanation:

The surface area of the prism is found by

SA = 2 ( lw+lh + wh)

     = 2 ( 5*1.5+ 4*1.5 + 5*4)

     = 2 ( 7.5+6+20)

     = 2 (33.5)

    = 67

Answer:

67units²

Step-by-step explanation:

Which answer choice is equivalent to the expression below? Negative 7 (2 + n) + one-third (negative 9 minus 6 n) Negative 17 minus 9 n Negative 14 minus 12 n 11 + 5 n 14 + 2n

Answers

Answer:

a. -17 -9n

Step-by-step explanation:

Question written clearly below:

Which answer choice is equivalent to the expression below?

-7(2+n)+1/3(-9-6n)

a.-17 -9n

b, -14-12n

c. 11+5n

d. 14+2n

Solution

-7(2+n)+1/3(-9-6n)

Open parenthesis

(-14-7n)+(-9/3-6/3n)

= -14-7n+(-3-2n)

= -14-7n-3-2n

Collect like terms

= -14-3-7n-2n

= -17-9n

The answer is option a. -17 -9n

Answer:

-17 -9n

Step-by-step explanation:

i got it right on edge

PLEASE ASWER FASTThe x-intercept of the equation 2y – x = -6 is: 3. -3. 6. None of these choices are correct.

Answers

Answer:

6

Step-by-step explanation:

Well first we need to tfraph the following equation,

2y - x = -6

Look at the image below

Thus,

by looking at the graph we can tell that the x-intercept is 6.

Hope this helps :)

Answer:

x -intercept = 6

Step-by-step explanation:

Method 1

[tex]2y -x = -6\\Let ; y =0\\2(0) -x =-6\\-x =-6\\x = 6\\\\ (6 , 0 )[/tex]

Method 2

[tex]x - interept = -c/a\\a = -1\\b =2\\c = 6\\\\x - intercept =\frac{ -(6)}{-1} \\\\x - intercept = 6[/tex]

Please help! I know its either B or D but im not sure how to tell

Answers

Answer:

D.

Step-by-step explanation:

To find the equation of g(x), we can substitute the point into each of the equations.

A. g(x) = (1/4x)^2

1 = (1/4 * 2)^2

1 = (1/2)^2

1 = 1/4

This statement is false, so this is not the equation.

B. g(x) = 1/2 * x^2

1 = 1/2 * (2)^2

1 = 1/2 * 4

1 = 2

This statement is false, so this is not the equation.

C. g(x) = 2x^2

1 = 2 * 2^2

1 = 2 * 4

1 = 8

This statement is false, so this is not the equation.

D. g(x) = (1/2x)^2.

1 = (1/2 * 2)^2

1 = 1^2

1 = 1

This statement is true, so this is your answer.

Hope this helps!

224,112,56,28 what are the two next answers?

Answers

Answer:

14,7

Step-by-step explanation: if it is being divided by 2 it is 14 and 7

☆*☆=3x, if x is even and negative OR ☆*☆=4x, if x is odd. Following the rule above, what is the value of ☆ - 23 ☆?
A. 92
B. -92
C. 529
D. -529

Answers

Answer:

okay... Thanks have a great day!

Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ: (a + b)^2, (a – b)^2, and (a - b)(a + b).

Answers

Answer:

(a+b)^2 = a^2 + 2ab + b^2

(a-b)^2 = a^2 - 2ab + b^2

(a-b)(a+b) = a^2 - b^2

Step-by-step explanation:

At Camp Sunshine, 4 kids went home sick. Of the remaining campers, 18 kids went hiking and the other 41 kids spent the day swimming. how many kids started the day at camp sunshine!?!??!?!?!?!?!?!?! I NEED TO KNOWWW

Answers

63 kids at the beginning

63
- 4
——
59
All of them went to camp sunshine so the answer will be 63

If f(x) =27, then x=?

Answers

Answer:

x=1

Step-by-step explanation:

f(x)=27

y=27(x)

x=1

y=27

What are the measures of angles M and N?
mM = 61° and mN = 113
mM = 67 and mN= 119
mM = 113 and mN = 61
mM = 119 and mN = 67

Answers

Answer:

mM = 113 and mN = 61

Step-by-step explanation:

In a Cyclic quadrilateral, the rule states that:

The sum opposite interior angles is equal to 180°

In the above diagram, we have cyclic quadrilateral KLMN

According to the rule stated above:

Angle K is Opposite to Angle M

So, Angle K + Angle M = 180°

Angle K = 67°

67° + Angle M = 180°

Angle M = 180° - 67°

Angle M = 113°

Angle L is Opposite to Angle N

so Angle L + Angle N = 180°

Angle L is given as = 119°

119° + Angle N = 180°

Angle N = 180° - 119°

Angle N = 61°

Therefore, Angle M = 113° and Angle N = 61°

Please answer it now in two minutes

Answers

Answer:3.2 ft

Step-by-step explanation:

sin 32°=[tex]\frac{yz}{6}[/tex]

cross multiply

sin 32° x 6=yz

0.5299 x 6 =yz

yz=3.1795

≅3.2ft

An insect is 3.5 millimeters long. Which expression finds the length of the insect in decimeters? Use the metric table to
help answer the question.
Metric Table
kilo-
1,000
hecto-
100
unit
deka-
10
centi-
deci-
0.1
1
milli-
0.001
0.01
A.) 3.5 x 100
B.) 3.5-100
C.) 3.5-10
D.) 3.5x 10

Answers

Answer:b

Step-by-step explanation:

C and D are wrong because both of them should be divided and by 100. A is wrong because you are supposed to divide because if you multiply 3.5 x 100 its 350 and it just doesn’t make any sense because milli is smaller than deci. So by process of elimination b is the right answer.

Answer:

b

Step-by-step explanation:

:D

what is the 6th term in the geometric sequence described by this explicit formula ?

Answers

Answer:

the answer is d. -5120

Step-by-step explanation:

[tex]a_{n} =-5(4)^{n-1}\\a_{6}=-5(4)^{6-1} \\a_{6}=-5(4)^{5} \\a_{6}=-5(1024)\\a_{6}=-5,120[/tex]

What is the measure of each intercepted arc for each inscribed angle of a square inscribed in a circle?

Answers

Answer:

The measure of the angle of each of the intercepted arc is 180°

Step-by-step explanation:

An intercepted arc is an encased (between chords) portion of the circumference of the circle. The chords that form the intercepted arc meet at a point

An inscribed angle is the angle is an angle formed between two chords that meet at a point called the end point

For the inscribed square, the symmetry has it that the diagonal is the same as the diameter of the circle as the diagonals bisect each other having equal distances on either side to the circumference of the circle.

Given that the angles in the vertices of the square are 90° and the point of intersection of the two chords forming the vertex are at the ends of the diameter of the circle, which passes through the center of the circle, the angle 90° at the vertex is half the angle at the center which is the angle of the intercepted arc

∴ The measure of the angle of each of the intercepted arc = 2× 90 = 180°.

Which graph shows the solution to the system of linear inequalities? 2x -3y ≤ 12 y < -3

Answers

Answer: The third graph (the one on the right side)

Step-by-step explanation:

The inequalities are:

2x -3y ≤ 12

y < -3

First, for the second inequality, we can see that y must be strictly less than -3, so we should see a dotted line at y = 3, and a shaded section under that line.

From this, we can discard the second graph (the middle one).

The first inequality can be rewritten as:

2x - 3y ≤ 12

-3y ≤ 12 - 2x

Now we divide by -3 on both sides, as we are dividing by a negative number, the direction of the ≤ sign changes:

y ≥ (12/-3) + (-2/-3)x = -4 + (2/3)*x

This means that the shaded section must be above the line:

y = -4 + (2/3)*x

Then the correct option is the third graph (rightmost graph).

Answer: c on edge 2021

Step-by-step explanation:

A spinner has six spaces that are all the same size. Three spaces are yellow, two are red, and one is blue. If the spinner is spun 150 times, it should land on yellow about ___ times, on red about ___ times, and on blue ___ times.

Answers

The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.

How to solve the probability

Yellow: 3 spaces out of 6, so the probability is 3/6 = 1/2

Red: 2 spaces out of 6, so the probability is 2/6 = 1/3

Blue: 1 space out of 6, so the probability is 1/6

multiplying the probability of each color by 150:

Yellow: 1/2 * 150 = 75 times

Red: 1/3 * 150 = 50 times

Blue: 1/6 * 150 = 25 times

Terefore The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.

Read more on probability here:https://brainly.com/question/24756209

#SPJ1

elogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD. A. 6 B. 16 C. 18 D. 32

Answers

Answer:

D

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

DE = BE , substitute values

4y - 8 = y + 10 ( subtract y from both sides )

3y - 8 = 10 ( add 8 to both sides )

3y = 18 ( divide both sides by 3 )

y = 6

Thus

BD = y + 10 + 4y - 8 = 5y + 2 = 5(6) + 2 = 30 + 2 = 32 → D

What is the value of p such that the line passing through (6,2) and (9,p) has a slope of -1?

Answers

Answer:

p= -1

Step-by-step explanation:

gradient=y²-y¹

x²-x¹

-1 =p-2

9-6

-1=p-2

3

multiply both sides by 3 to remove the denominators

-1×3=p-2

-3=p-2

put the like terms together

-3+2=p

-1=p


The surface area of this rectangular prism is_____square centimeters.​

Answers

I think the answer is 69

Answer:

Find the area of all the shapes

Length x width = area

10 x 3 = 30

6 x 3 = 18

6 x 3 = 18

6 x 10 = 60

3 x 10 = 30

6 x 10 = 60

Add them all up

30 + 18 + 18 + 60 + 30 + 60 = 216 cm^2

Hope this helps

Step-by-step explanation:

can you please help me

Answers

Apply the rule x^m/n = nsqrt(x^m)

(2) ^x/12 = 12sqrt(2^x)

The answer is the 3rd choice

Solve x2 − 7x = −12. (6 points) x = 6 and x = −2 x = 4 and x = 3 x = 2 and x = 6 x = −4 and x = −3

Answers

Answer: Choice B. x = 4 and x = 3

Work Shown:

x^2 - 7x = -12

x^2 - 7x + 12 = 0

(x - 3)(x - 4) = 0 ... see note below

x - 3 = 0 or x - 4 = 0

x = 3 or x = 4

Note: we're looking for two numbers that multiply to 12 and add to -7. Those two numbers are -3 and -4, so that's where the factorization (x-3)(x-4) comes in. After this step, you set each factor equal to zero and solve for x.

Answer:

x=3  x=4

Step-by-step explanation:

x^2 − 7x = −12

Add 12 to each side

x^2 - 7x +12 =0

Factor

What 2 numbers multiply to 12 and add to -7

-3*-4 = 12

-3+-4 = -7

(x-3)(x-4) =0

Using the zero product property

x-3 =0   x-4 =0

x=3  x=4

The box plot shows the total amount of time, in minutes, the students of a class spend studying each day: A box plot is titled Daily Study Time and labeled Time (min). The left most point on the number line is 40 and the right most point is 120. The box is labeled 57 on the left edge and 112 on the right edge. A vertical line is drawn inside the rectangle at the point 88. The whiskers are labeled as 43 and 116. What information is provided by the box plot? The lower quartile for the data The number of students who provided information The mean for the data The number of students who studied for more than 112.5 minutes

Answers

Answer:

Step-by-step explanation:

Hello!

The box plot is a graph that shows the summary of a data set.

If for example the graphic is on the side:

Box

The left limit of the box is determined by the first quantile of the data set Q₁= 57

The right limit of the box is determined by the third quantile Q₃= 112

The vertical line inside the box represents the second quantile or median Me= 88

Depending on of the symmetry of the distribution you may find it in the middle of the box (symmetrical distribution), closer to the left limit (right skewed) or closer to the right limit of the box (left skewed)

Whiskers

The whiskers of the graphic are a line between the first quantile and the minimum value and the third quantile and the maximum value.

Left whisker  goes from Q₁ to the minimum value min= 40

Right whisker goes from Q₃ to the maximum value max= 120

I hope this helps!

Answer:

for the people who don't understand, its A

Step-by-step explanation:

what is 9393 divided by 81x1 ?

Answers

Answer:

115.96

Step-by-step explanation:

=> [tex]9393 / 81 * 1[/tex]

By BODMAS, Dividing first

=> 115.96 * 1

Now, Multiplying

=> 115.96

Answer:

115.962963

Step-by-step explanation:

81 x 1 = 81

9393 ÷ 81 = 115.96

variance of 147,141,120,124,128

Answers

Answer:

Variance population of 147,141,120,124,128 = 106

Variance sample of 147,141,120,124,128 = 132.5

Hope this helps and PLSSS MARK AS BRAINLIEST :)

Answer:

See below.

Step-by-step explanation:

The mean = (120+124+128+141+147) / 5

= 660 / 5

= 132

Difference between the values and the mean = -12, -8, -4, 9, 15.

Squares of these differences = 144, 64, 16, 81, 225

Sum of these squared differences =  530

So the variance = 530 / 5

= 106.

This is the population variance.

The sample variance = 530 / (5-1)

= 132.5.

If you wrote the numbers from 1-8, and it equals to three, how do you make the statement true if you can't change the 3 but you could connect two or more numbers to make the statement true if you also can only do subtraction?

Answers

Answer:

Just add 6 to the right side of 3 which will make as 36

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

Hope it helps u...pls mark as brainliest

Which is the solution to the equation 3.5 (2 h + 4.5) = 57.75? Round to the nearest tenth if necessary.

Answers

Answer:

h = 6

Step-by-step explanation:

Step 1: Distribute

7h + 15.75 = 57.75

Step 2: Subtract 15.75 on both sides

7h = 42

Step 3: Divide both sides by 7

h = 6

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
A.
IR
V =
2
3
V=4
B.
Oc. v=1
V = 1/2
v=1
D.
3
.

Answers

Answer:

[tex]\frac{4}{3} \pi r^3[/tex].

Step-by-step explanation:

Let's say that the radius is r. The base diameter is two times the radius, or 2r.

Since the height is two times the diameter, the height is 2 * 2r = 4r.

The volume of a cone is 1/3 * h * pi * r^2. So, the volume of the cone is 1/3 * 4r * pi * r^2 = 1/3 * pi * 4r^3 = 4/3 * pi * r^3.

So, the volume of the cone is [tex]\frac{4}{3} \pi r^3[/tex].

Hope this helps!

11. Which of the following lines is perpendicular to the line 3x-9y = 17?

A) 12x + y = 4
B) 9x - 3y = 11
C) 6x + 2y = 8
D) 3x - y = 5

Answers

Step-by-step explanation:

When using the equation of a line, one calculates the value of

y

in terms of

x

, say

y

=

m

x

+

c

, then

m

is the slope of the line and

c

is its intercept on

y

-axis.

As

3

x

9

y

=

15

can be written as

3

x

15

=

9

y

or

y

=

3

9

x

15

9

or

y

=

1

3

x

5

3

Hence slope of

3

x

9

y

=

15

is

1

3

Product of slopes of two perpendicular lines is

1

Hence, the slope of the line that is perpendicular to the line

3

x

9

y

=

15

is

1

1

3

=

1

×

3

1

=

3

graph{(3x-9y-15)(3x+y+5)=0 [-10, 10, -7.04, 2.96]}

four less than three times a number is 20

Answers

Answer:

3x-4

Step-by-step explanation:

Have a good day!!

Answer:

3x-4

Step-by-step explanation:

Complete the steps used to slove a system of liner equations by substituting the value of y into one of the original equations to find the value of x. What is the solution?

Answers

Answer:

Solve one of the equations for y, take that answer and plug into the second equation in place of y. Then solve for x.

Step-by-step explanation:

Need equations if you want actual answer

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