You need to cut a 16 foot long 2x4 into 3.5ft sections. How many ehole sections will you have

Answer:

g(x) = 2x + 2

Step-by-step explanation:

f(x) = 6x

g(x)= 1/3*f(x) + 2

g(x) = 2x + 2

The value of x and the dimensions of the rectangular prism are as follows;

x = 7.5 m

length = 8 m

width = 5.5m

height = 12.5 m

volume of a rectangular prism  = lwh

volume = 550 m³

l = 8

w = x - 2

h = x + 5

Therefore,

v = lwh

550 = (x + 5)(x - 2)8

550 = (x² - 2x + 5x - 10)8

550 = (x² + 3x - 10)8

550 = 8x² + 24x - 80

8x² + 24x - 80 - 550 = 0

8x² + 24x - 630 = 0

4x² + 12x - 315 = 0

using quadratic formula,

where

a = 4

b = 12

c = -315

-b ± √b² - 4ac / 2a

Therefore,

x = -10.5 or 7.5

x cannot be negative .

so, x = 7.5

x = 7.5 m

length = 8 m

width  = 7.5 - 2 = 5.5 m

height = 7.5 + 5 = 12.5 m

learn more: https://brainly.com/question/21812790?referrer=searchResults

A) In order to prove that these triangles are congruent by SAS, we need to have two sides of one triangle congruent to two sides of another triangle and an angle of one triangle (that’s included between the sides) is congruent to an angle of another triangle, the triangles are congruent.

We know that side OU is congruent to itself based on the reflexive property and we have a pair of right angles. However, we don’t know that sides MU is congruent to sides NU which would be our final step to prove these triangles are congruent by SAS.

So we are missing that sides MU and NU are congruent.

For part b, we have a pair of vertical angles which means they are congruent and <F and <S are congruent. For ASA, we need two angles and the included side of one triangle congruent to two angles and the included side of a second triangle.

We are not told that PQ and SQ have the same length, so this would be the information we would need to say these triangles are congruent by ASA.

Answer:

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

14.75

Step-by-step explanation:

56/4 = 14, 3/4 = .75

add them together

Answer: 14.75

Step-by-step explanation: yeah its 14.75  but if you want to simplify it, then its 14.8

Answer:

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

Step-by-step explanation:

[tex]5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}[/tex]

Hope this helps.

Answer:

R834.92 is the monthly repayments.

Step-by-step explanation:

Answer:

2:5

Step-by-step explanation:

2 cats per 5 dogs

Answer:

118.72

Step-by-step explanation:

I just used my calculator 0-0 hope this helped :)

Using squares of integers numbers, it is found that the solution of the equation is located between the integers x = 1 and x = 2.

The equation given is:

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

The solution of the equation given is:

[tex]x = \sqrt{3}[/tex]

The squares of the integers numbers until the square root of 3 are:

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

[tex]2^2 = 4[/tex]

Since [tex]1 < 3 < 4[/tex], the square root of 3, which is the solution to the equation, is located between the integers x = 1 and x = 2.

A similar problem is given at https://brainly.com/question/3729492

Hello! :)

The slope of this line is 0.

Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.

Here, we move 0 units up, so the rise is 0.

No matter what the run is, the slope is 0 anyway.

Hope it helps you!

If you have any questions, feel free to ask! (:

~An excited gal

[tex]SparklingFlower :)[/tex]

Answer:

its 0 sowe

Step-by-step explanation:

By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20

We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.

Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.

This gives:

($13.00 h^-1)*(67.4 h) = $876.20

This means that Andrew wins $876.20 per week with this job.

If you want to learn more, you can read:

https://brainly.com/question/503614

Answer:

Yes they are.

They are congruent because they have two equal angles and one equal side

Answer:

Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.

Step-by-step explanation:

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

Hiiii!

Here's what algebra is:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.

In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.

Hope it helps! ( ꈍᴗꈍ)

-Nezuko

Answer:

Slope: 16

y-intercept: (0, 0)

Yes it is proportional

Step-by-step explanation:

To find the slope we can do rise over run.

 192 - 96           96

----------------- = ----------- = 16

    12 - 6              6

So the slope is 16

For the y intercept we can just look where the line crosses the y-line so (0, 0)

We can check that by inputing some numbers:

y = mx + b -------> 96 = 6 · 16 + b

                            96 = 96 + b

                            - 96     - 96

                               0 = b

in this equation b represents the y-intercept

And the definition of a proportional slope is if the equation is y = mx, which in this case it is true, as the equation is y = 16x. (m is the slope which we've already found above)

So evidently the slope is proportional.

Answer:

∠K = 123°

∠L = 97°

∠O = 83°

∠N = 40°

Step-by-step explanation:

∠K and ∡57° are Supplementary, so their sum is equal to 180°

180 - 57 = 123

∠K = 123°

∠N and ∡140° are also Supplementary

180 - 140 = 40

∠N = 40°

The area of a triangle is equal to 180 when all angles are added together

40 + 57 = 97

180 - 97 = 83

∠O = 83°

∠L is an outside angle, which is equal to the sum of the 2 further angles (in this case ∡57° and ∠N) which we found was 97° when solving for ∠O

∠L = 97°

Now to check ∠K we add ∠O and ∠N

83 + 40 = 123

Now we also check ∠O with ∡140°

140 - 57 = 83

So all of the angles check out correctly

Answer:

30

Step-by-step explanation:

d=√(24²+18²)=6√(4²+3²)=6√(16+9)=6√(25)=6×5=30

Answer:

Line 1 & 2 is Perpendicular

Line 1 & 3 is Neither

and Line 2 & 3 is Neither

Answer:

D but read below.

Step-by-step explanation:

I take it that the symbol ~ stands for similar. If that is so, then the answer you want is AA, because if 2 angles in a triangle are equal, then all 3 are. So if any 2 equal angles in one triangle are equal to 2 angles in another, then the two triangles are similar.

Answer:

125

Step-by-step explanation:

Multiply 500x0.05x5

(make sure you change the percentage to a decimal do you will get a wrong answer)

I’m so sorry if my answer is wrong

Answer: D (n> 8/ 3 )

Answer: Her total amount is $964.80

1928

Step-by-step explanation:

964+964  once s

Answer:

x = [tex]\frac{y+c}{m}[/tex]

Step-by-step explanation:

Making it the subject means "setting the equation equal to it"

y = mx – C

y + c = mx

[tex]\frac{y+c}{m}[/tex] = x

x = [tex]\frac{y+c}{m}[/tex]

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

Step-by-step explanation:

2(x +2 )

This is the number

Answer: Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).

Step-by-step explanation:

Answer:

The selected choice (#2) is correct

Step-by-step explanation:

Any rigid transformation (moving a figure, rotating it, flipping it around will leave the transformed figure congruent with the original. Scaling it (=dilating it) will generate a new figure what is similar to the original: angles remains the same but sides are in proportion.