Write the equation of a line that is perpendicular to the given line and that passes through the given point.

Answer: The mirror will fit because the height of the mirror is 4 feet.

Step-by-step explanation:

we just divide 15 by 3 3/4 and get the answer of 4.

Yes, the mirror will fit on the wall because its height is approximately 4.25 feet, which is less than the 5-foot tall space on the wall.

To determine whether the mirror will fit, we need to calculate its height. Since the area of a rectangle is given by the formula Area = Height × Width, we can find the height by rearranging the formula to Height = Area ÷ Width.

The given area of the mirror is 15 15/16 square feet and the given width is 3 3/4 feet.

After performing the division, we get the height of the mirror to be approximately 4.25 feet.

Since the space on the wall is 5 foot tall and the height of the mirror is less than this, the mirror will fit on the wall. So, the answer is: Yes, it will fit because the height is 4.25 feet.

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Answer:

y = 5/18

Step-by-step explanation:

50/90-y=5/18

Lets simplify our fractions

50/90 = 5/9  (divide top and bottom by 10)

5/9 - y = 5/18

Subtract 5/9 from each side

5/9 -5/9 -y = 5/18 - 5/9

-y = 5/18 - 5/9

We need to get a common denominator of 18

-y = 5/18 - 5/9 *2/2

-y = 5/18 -10/18

-y = -5/18

Multiply each side by -1

-1*-y = -5/18 * -1

y = 5/18

[tex]\mathsf{\heartsuit\;\; (\sqrt{8})^2 = \sqrt{64}}\\\\\mathsf{\heartsuit\;\; [(8)^\frac{1}{2}]^2 = \sqrt{(8)^2}}\\\\\mathsf{\heartsuit\;\; (8)^\frac{2}{2} = [(8)^2]^\frac{1}{2}}\\\\\mathsf{\heartsuit\;\; 8 = [8]^\frac{2}{2}}\\\\\mathsf{\heartsuit\;\; 8 = 8}\\\\\mathsf{\heartsuit\;\; Option\;(A)\;is\;the\;Answer}[/tex]

The number which will make the equation true, when placed in the box is: A. √8.

In order to determine the unknown number, we would assign a variable (x) to the unknown number and then evaluate the resulting algebraic equation as follows:

x² = √64

x² = 8

Taking the square root of both sides, we have:

x = √8.

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Answer:

3 fancy shorts

4 plain

Step-by-step explanation:

By setting up equations for the total cost and the number of shorts purchased, we find that Kristin bought 2 fancy shorts at $28 each and 5 plain shorts at $15 each.

To solve the problem, let's denote the number of fancy shorts Kristin bought as F and the number of plain shorts as P. The problem gives us two conditions: Kristin spent a total of $131 on shorts, and she bought a total of 7 shorts. Fancy shorts cost $28 each, and plain shorts cost $15 each.

Now, we can set up two equations based on this information:

Using equation (2), we can express P as P = 7 - F and substitute this into equation (1) to solve for F:

28F + 15(7 - F) = 131

Simplify the equation:

28F + 105 - 15F = 131

13F = 26

F = 2

Now that we have the value for F, we can use it to find P:

P = 7 - F

P = 7 - 2

P = 5

Kristin bought 2 fancy shorts and 5 plain shorts.

Answer:

It is a rational number and real number

Explanation:

it is a real number because it can become .75 and that is a real number.

it is a rational number because assume that 3/4 is a rational number. Since every rational number can be expressed as a/b form which do not have any common factor so we can say that a/b = 3/4 Squaring both side we get: a2/b2 = 9/16 a2 = (9/16) b2 Or we can say b2 = a2(16/9) a2 is divided by 9. So we can say that a is divided by 9. It implies that there exist some number c such that a/9 = c a = 9c By squaring both side we get a2 = 81 c2 Put the value of a2 from the equation a2 = (9/16) b2 we get: (9/16)b2 = 81c2 this tends to b2/ 9 = 16 c2 It implies that b2 is divided by 9. So we can say that b is divided by 9. This implies that a and b have a common factor 9. Since a and b have common factor therefore 3/4 is not a irrational number. Hence 3/4 is a rational number.

Good luck

Please mark me brainliest

Answer:

3/4 is a rational number and also a real number

Step-by-step explanation:

to prove 3/4 is real

3/4 is a fraction. It is a proper fraction since denominator  is grater than numerator.

3/4 can be written as 0.75 which is terminating decimal.

Therefore 3/4 is a real number

To prove 3/4 is a rational number

3/4 is the form of p/q.

Therefore 3/4 is a rational number.

Answer:

400 originally, and 50 dollars a week from there!!

Step-by-step explanation:

Since the 50 is followed by the variable "w", and the w stands for week, we can believe that Jenny makes 50 dollars a week.

Because the 400 was in the her account to begin with, we know this is the amount she originally had!

Answer:

(3, -1)  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Answer:

The approximate distance between the points is 38.2

Step-by-step explanation:

The distance between these two points is a diagonal line. In order to solve this problem, you need to plot your points and form a right triangle.  The overall distance from one point to another on the x-axis is 26 (12-(-14)), and the overall distance from one point to another on the y-axis is 28 (20-(-8)).  These two distances will form a right angle at (-14,-8).  The distances on the x and y axis are the 'legs' of the triangle and the distance between the given points in the problem represents the hypotenuse.  Using the pythagorean theorem (a^2 +b^2 = c^2), we can substitute in our values of 'a' and 'b' to get 28^2 + 26^2 = c^2, or 784 + 676= 1460, therefor the square root of 1460 is approximately 38.2.

So to find the distance between these two points, we are going to be plugging them into the Distance Formula and solving as such:

[tex]D=\sqrt{(12-(-14))^2+(-8-20)^2}\\D=\sqrt{(26)^2+(-28)^2}\\D=\sqrt{676+784}\\D=\sqrt{1460}[/tex]

Now, with this radical we can simplify it using the product rule of radicals (√ab = √a × √b) as such:

[tex]\sqrt{1460}=\sqrt{10*146}=\sqrt{5*2*2*73}=2*\sqrt{73*5}=2\sqrt{365}[/tex]

In short:

Answer: 45%

Step-by-step explanation:

[tex]\underline{\qquad \qquad\quad|\text{Quantity}|\quad\%\quad|\text\quad{Qty } \times\text{\%}\qquad}\\\underline{\text{Solution A }|\text{5 liters}\quad|\text{0.20}\quad|5\times0.20=1.00}\\\underline{\text{Solution B }|\text{5 liters}\quad|\text{0.70}\quad|5\times0.70=3.50}\\\text{Mixture }\quad|\text{ 10 liters }|\quad\text{x}\quad|\qquad\text{4.50}[/tex]

10x = 4.50

  x = .45

    = 45%

Answer:

2,-2

Step-by-step explanation:

Answer:

x = 75

y = 105

Step-by-step explanation:

Remark

You can find y in two different ways.

One

You can recall that y is the sum of the 2 interior angles not connected to it. Those angles are called the remote interior angles. Or

Two

You can add the three angles to 180 and solve for x. Then since x and y are supplementary, you can find y.

Solution

One

y = 60 + 45

y = 105                       Answer

Two

x + 60 + 45 = 180      All triangles have 180 degrees. Solve for x.

x + 105 = 180             Subtract 105 from both sides

x = 180 - 105              Combine

x = 75                         Find an equation that relates x and y

x + y = 180                 x and y are supplementary they add to 180

75 + y = 180               Subtract 75 from both sides.

y = 180 - 75                Combine

y = 105

Answer:

x = 5 and y = -2

Step-by-step explanation:

Here you have given what y is equal to, this means you can sub this into the first equation:

3x - 2(x - 7) = 19

Expand the brackets:

-2 * x = -2x

-2 * -7 = 14

3x -2x +14 = 19

Move the +14 over to the other side making it a -14:

3x - 2x = 19 - 14

3x - 2x = 5

3x - 2x = x

So x = 5

Now sub this into the first equation:

3(5) - 2y = 19

15 - 2y = 19

Move the -2y over to the other side making it a +2y, and move the +19 over to the other side making it a -19:

15 - 19 = 2y

-4 = 2y

Divide both sides by two:

y = -2

So x = 5 and y = -2

Answer:

The tree is 20 ft tall.

Step-by-step explanation:

We can use ratio's to solve this problem.   Take the height of the object over the shadow length.

5 ft                  x ft

----------- = ----------------

3ft                  12 ft

Using cross products

5*12 = 3*x

60 = 3x

Divide by 3 on each side

60/3 = 3x/3

20 =x

The tree is 20 ft tall.

Expanding, you get 6(3c) - 6(5d) + 6(6) = 18c - 30d +36

Answer:

18c - 30d +36

Step-by-step explanation:

6(3c - 5d +6)

When we use the distributive property, we distribute the 6 to all the terms inside the parentheses

6*3c - 6*5d +6*6

18c - 30d +36

[tex]7-\dfrac{1}{5}x>0\qquad\text{subtract 7 from both sides}\\\\-\dfrac{1}{5}x>-7\qquad\text{change the signs}\\\\\dfrac{1}{5}x<7\qquad\text{multiply both sides by 5}\\\\\boxed{x<35}[/tex]

Answer:

The solution is the point (6,-8)

Step-by-step explanation:

we have that

The first equation is [tex]y=(1/3)x-10[/tex] instead [tex]y=x-10[/tex]

[tex]y=(1/3)x-10[/tex] -----> equation A

[tex]2x+y=4[/tex] -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for x

[tex]2x+[(1/3)x-10]=4[/tex]

[tex](7/3)x=14[/tex]

[tex]x=6[/tex]

Find the value of y

[tex]y=(1/3)(6)-10=-8[/tex]

therefore

The solution is the point (6,-8)

Answer:

the answer is the last one

Step-by-step explanation:

i drew all the example and i would say that the last one came out having a proportional relationship.

tell me if i got it right!

The slope-intercept form of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept.

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-1, -2) and (-2, 7). Substitute:

[tex]m=\dfrac{7-(-2)}{-2-(-1)}=\dfrac{9}{-1}=-9[/tex]

Therefore we have [tex]y=-9x+b[/tex].

Put the coordinates of the point (-1, -2) to the equation of a line:

[tex]-2=(-9)(-1)+b[/tex]

[tex]-2=9+b[/tex]     subtract 9 from both sides

[tex]-11=b\to b=-11[/tex]

Answer:

$7.20

Step-by-step explanation:

I got u bro, Divide the price of the stickers by the number of stickers ($3/5=$.60) multiply the price of one sticker by the number of stickers ($.60x12=) :)

Final answer:

The cost of 12 stickers can be found by writing the proportion 5 stickers/3 dollars = 12 stickers/c dollars and solving for c, which yields c = 7.2. Thus, 12 stickers cost $7.20.

Explanation:

The student is asked to write a proportion to determine the cost c if they buy 12 stickers when the known price is 5 stickers for $3. To set up the proportion, we can compare the number of stickers to the cost. We have one ratio of 5 stickers to $3, and we need to find the equivalent ratio for 12 stickers to $c. The proportion can be represented as:

5 stickers / 3 dollars = 12 stickers / c dollars

Now we cross-multiply to solve for c:
5 * c = 3 * 12

c = (3 * 12) / 5

c = 36 / 5

c = 7.2

Therefore, the cost c of 12 stickers is $7.20.

Answer:

The value of x is 68 degrees!

Step-by-step explanation:

In this question, we have an isosceles triangle because of Base Angles Theorem. The 2 sides are congruent, which means its an isosceles and that the Base angles are congruent. So far, we know that 2 angles are equal to 112 degrees. Due to Sum Angles Theorem, we can go 180-112 to get 68 degrees!

Answer:

x=68

Step-by-step explanation:

Since this is an isosceles triangle, the bottom two angles are the same value, 56 degrees.  The three angles of a triangle add to 180 degrees.

56+56+ x = 180

Combine like terms

112 +x = 180

Subtract 112 from each side

112-122 +x = 180 -112

x =68

Final answer:

Sasha has read approximately 64.66% of the novel by dividing the number of pages she read (276) by the total number of pages (427), and then multiplying the result by 100.

Explanation:

To find out what percentage of the novel Sasha has read, we need to use the formula for percentage:
Percentage = (Part / Whole) × 100

Sasha has read 276 pages of a 427-page novel. So, in this case, the part is 276, and the whole is 427.

Now we calculate:

Let's do the math:

Therefore, Sasha has read about 64.66% of the novel.

Answer:

1526.0 cubic units

Step-by-step explanation:

Rotating rectangle AKLM you will get cylinder with height KA and base radius KL.  From the given data

[tex]KA=\sqrt{(6-0)^2+(0-0)^2}=6,\\ \\KL=\sqrt{(0-0)^2+(9-0)^2}=9.[/tex]

The volume of the cylinder is

[tex]V_{cylinder}=\pi r^2\cdot H.[/tex]

Then

[tex]V_{cylinder}=\pi \cdot 9^2\cdot 6=486\pi \approx 1526.0\ un^3.[/tex]

[tex]Use\\\\a^2-b^2=(a-b)(a+b)\\\\i=\sqrt{-1}\to i^2=-1\\------------------------\\\\x^2+25=x^2+5^2=x^2-(-5^2)=x^2-(5i)^2\\\\\boxed{x^2+25=(x-5i)(x+5i)}[/tex]

Answer:

I think I might be terribly wrong but 160,728 ft

Step-by-step explanation:

Answer:

503

Step-by-step explanation:

To find the area of a cirlce it is pi x 2 x the radius squared.

Since,this is a semi-circle you dived by 2 afterwards.

So [tex]\pi x 160 x 2 /2[/tex] is 502.857142857

Round that to the nearest one that is 503 ft squared.

Answer:

distributive property

Step-by-step explanation:

Distributive property says that x(y + z) = (x*y) + (x *z)

The property used in the given expression is

Distributive property of multiplication over addition.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distributive property of multiplication over addition states that,

a(b + c) = a x b + a x c

Now,

3(4 + 5) = (3 x 4) + (3 x 5)

This is the Distributive property of multiplication over addition.

Thus,

The property of distributive multiplication over addition is used.

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If x and y are proportional, then y : a = constant.

[tex]\dfrac{y}{x}=a\to y=ax[/tex] ← the equation

We have y = 19x - 5. It's not a proportional.

When multiplying terms with exponents, just add the exponents together.

You have x^7 and x^4, so 7 +4 = 11

Y^2 and Y^5 = 2+5 = 7

so it would be -20x^11 y^7

The answer is A.) a=11, b=7

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60

    +3         +3

3x = 6x - 57

     - 6x

- 3x = -57

= 19

Answer:

Step-by-step explanation:

[tex](3x-3)^{0} =\left[6(x-10)] ^{0}\\[/tex] (opposite angle)

[tex]3x-3=6(x-10)\\ 3x-3=6x-60\\ 60-3=6x-3x\\ 57=3x\\ \frac{57}{3} =x\\ 19=x[/tex]

Answer:

21

Step-by-step explanation: