#3. Write the slope-intercept equation of
the line

Answer:

11 ft

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is

A = L * W.  

Represent the length, L, by 2W + 1 ("1 more than twice the width").  Then the area formula (above) becomes:

A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:

2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}.  Let's use the quadratic formula to solve this for W:

The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441.  The square root of 441 is 21.  Thus, the quadratic formula gives us:

        -1 ± 21

W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2

            2(2)

A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.

Then, according to the formula for L that we found earlier, L  = 2W + 1, or

L = 2(5) + 1, or L = 11.

Check:  Does L * W result in an area of 55 ft²?  Yes

The length dimension of the rectangle is 11 ft

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

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Answer:

35 cookie dough orders

Step-by-step explanation:

Juan and Rob are selling cookie dough for a school fundraiser. Juan has t cookie dough orders, and Rob has 40 cookie dough orders. They have a total of 75 cookie dough orders all together.

We have to calculate the number of cookie dough that Juan has.

The expression for the above question is given as:

t + 40 = 75

We collect like terms

t = 75 - 40

t = 35

Therefore, Juan has 35 cookie dough orders

Answer:

Step-by-step explanation:

Circumference

C = 2*pi * r

pi = 3.14

r = d / 2

r = 8/2

r = 4 feet

C = 3.14 * 2 * 4

C = 18.84 feet.

Area

pi = 3.14

r = d/2

r = 8/2

r = 4

Area = 3.14 * 4^2

Area = 3.14 * 16

Area = 50.24 ft^2

Answer:

In explanation below l

                                   v

Step-by-step explanation:

When a transversal cuts parallel lines, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent.  For example, ∠1, ∠4, ∠5, and ∠7 are all acute angles.

Answer:

[tex]12ab[/tex]

Step-by-step explanation:

3a × 2b = 6ab

6ab × 2 = 12ab

Therefor, the answer is 12ab.

3a × 2b × 2 = 12ab

The expression expects us to find the product . Therefore,

Let's do it step by step

3a × 2b = 6ab

Then,

6ab × 2 = 12ab

Therefore,

3a × 2b × 2 = 12ab

read more: https://brainly.com/question/17115859?referrer=searchResults

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

Learn more about the Pentagon here:

https://brainly.com/question/30182047

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Answer:

$1483.52

Step-by-step explanation:

P=principle

Fn=total at the end of a given year(=n) (subscript)

I= interest in decimal

F=P(1+I)

at end of first year F1=P(1+I)

at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2

or in general Fn=P(1+I)^n

Step-by-step explanation:

9. 9x+1 + 9x+1 +88 =180

18x = 90

x = 5

see the above answer! thanks for reading

Answer:

y= - 1/2(2)^(x)-2

Step-by-step explanation:

you could check on a graphing calculator

Answer:

Acute triangle

Step-by-step explanation:

All the three angles of the triangle is less than 90, all angles are acute. So, it is acute triangle.

If any one of the three angles is 90, then it is right triangle.

If any one of the three angle is more than 90, then it is obtuse triangle.

Answer:

4

Step-by-step explanation:

okay since there was a 50% INCREASE, 6 is (100%+50%) greater than last months amount.

100%+50%=150%=1.5

let's say that x is last months amount

6=1.5x

x=6/1.5

x=4

There were 4 musicians in the band last month.

SAKHDSKGgsgdyasygudayf

Answer:

3/10 of people vacationed in another state.

Step-by-step explanation:

Because there are 60 people in total, the denominator has to be 60. The numerator then is going to be the amount of people that vacationed in another state. Simplify that fraction by 6, and you will get 3/10 as your answer.

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Since we want a fraction, we find the total number of people who vaccinated, then we find how many people vacationed in another state.

18+10+5+15+12=60, and 18 people vacationed in another state, we get

[tex]\frac{18}{60}[/tex], and we can divide top and bottom by 2, we simplify to [tex]\frac{3}{10}[/tex]

Answer:

Trinomial

Step-by-step explanation:

It has three terms

Answer:

Trinomial

Step-by-step explanation:

there are 3 variable things

Answer:

1x + 2y = 177 (price)

x + y= 114 (rentals)

Step-by-step explanation: x= movies y= video games

Answer:

56

Step-by-step explanation:

add and then multiply

Answer:

x = 4

Step-by-step explanation:

x + 6 +2x = 2x + 6 + 4

combine like terms:

3x + 6 = 2x + 6 + 4

add numbers:

3x + 6 = 2x + 10

subtract 6 on both sides:

3x + 6 - 6 = 2x + 10 - 6

3x = 2x + 4

subtract 2x from both sides:

3x - 2x = 2x - 2x + 4

x = 4

short explanation:

if you look at the equation, both sides have 6 and 2x which would cancel each other out. That would leave x = 4

Answer:

13

Step-by-step explanation:

10--3=

So is 13

But not sure

Answer:

SAS

Step-by-step explanation:

SAS Postulate: "If two sets of corresponding sides on two triangles and there included angle are congruent, then the triangles are similar".

We see that line segments XY-ST and XZ-SR are congruent along with the included angles X and S. Therefore, we can justify that SAS fits the situation.

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Answer:

f(x)=5

f(-2)=5

5 is the answer if there is no x near the 5