Pls help I’ll brainlest ASAP

The height and width of the outline (perimeter) of the mirror, as well as the

center in relation to the plane of the edges are given.

[tex]\displaystyle The \ mirror \ can \ be \ \mathbf{ represented} \ by \ the \ equation; \underline{\frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Reasons:

Width of the elliptical mirror = 20 inches

Height of the elliptical mirror = 24 inches

Center of the ellipse = (0, 60)

The equation of an ellipse is;  [tex]\displaystyle \mathbf{\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2}} = 1[/tex]

Where;

(h, k) = Coordinates of the center;

a = Semi major axis

b = Semi minor axis

In the mirror, we have;

(h, k) = (0, 60)

a = 24 ÷ 2 = 12

b = 20 ÷ 2 = 10

Which gives;

[tex]\displaystyle \frac{(x - 0)^2}{10^2} + \frac{(y - 60)^2}{12^2} = \frac{x ^2}{100} + \frac{(y - 60)^2}{144} = \mathbf{\frac{(y - 60)^2}{144} + \frac{x^2}{100}} = 1[/tex]

Therefore;

[tex]\displaystyle The \ equation \ that \ represent \ the \ mirror \ is; \underline{ \frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

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Answer:

Step-by-step explanation:

       -(4q+8) + 6q = 12q - 5/6(18q + 6)

Open brackets:

<=>  - 4q - 8 + 6q = 12q - 5/6*18q - 5/6*6

<=>  - 4q - 8 + 6q = 12q - 15q - 5

Put q in one side and non q in one side:

<=> - 4q + 6q - 12q + 15q = 8 - 5

<=> 5q = 3

<=> q = 3/5

The minimum initial deposit Arthur must make is $ 4.24.

Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:  

Therefore, the minimum initial deposit Arthur must make is $ 4.24.

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Answer:

6. slope= -4/5     Y-intercept is 3

7.

a.y=-2x

b.y=1x+1

c.5/2x-1

d.y=4x+3

e.y=-3/2x-5

Step-by-step explanation:

Answer:

The slope is 4/5 i dont know unit rate though, hope this helps:)

expanded form true

Step-by-step explanation:

Answer:

Refer to link below:

Step-by-step explanation:

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Answer:

y=150(x/2)

Step-by-step explanation:

y = 150(x/2)

y represents the amount of money that is deposited into Gabe's account. x represents the amount of time he is adding money for.

x is divided by 2 because however long gabe has been adding money into his account, he does it every 2 months. This means that if x = 12 (time = 12 months) , then Gabe has only made (12/2) = 6 deposits of $150. If x = 4 (time = 4 months), then Gabe would have only made (4/2) = 2 deposits of $150.

With this being said, 150 is being multiplied by the number of deposits (x/2) to find the total amount of money deposited (y).

Solving steps:-

5x+3y=−4

y−2x=6

-->To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

5x+3y=−4,−2x+y=6

-->Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

5x+3y=−4

-->Subtract 3y from both sides of the equation.

5x=−3y−4

--> Divide both sides by 5.

x = 1/5(-3y - 4)

--> Multiply 1/5 −3y−4.

x = -3/5y - 4/5

--> Substitute -3y - 4/ 5 for x n the other equation, −2x+y=6.

-2 (-3/5y - 4/5) + y = 6

--> Multiply −2 times -3y - 4/ 5

6/5y + 8/5 + y = 6

--> Add 6y/5 to y

11/5y + 8/5 = 6

--> Subtract 8/5 from both sides of the equation.

11/5y = 22/5

--> Divide both sides of the equation by 11/5, which is the same as multiplying both sides by the reciprocal of the fraction.

y = 2

--> Substitute 2 for y in x= -3/5y - 4/5. Because the resulting equation contains only one variable, you can solve for x directly.

x = -3/5 x 2 - 4/5

--> Multiply -3/5 times 2.

x = -6 - 4/ 5

--> Add -4/5 to -6/5 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.

x = -2

--> The equation is now solved.

Answer : x = -2, y = 2

Explanation : If you think this answer is good, please give "Brainliest" or rate/heart my answer. Hope this helps you.

Answer:

Hola

tengo una pregunta

de que país

eres? ._.

Answer:

6 chapters per hour

Step-by-step explanation:

[tex]\frac{42 (chapters)}{7 (hours)} =6[/tex]

Hope this helps

Answer:

I think it would be 6. But im not 100% sure

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Mean x¯¯¯ 12.875

Median x˜ 11.5

Mode 15

Range 34

Minimum 6

Maximum 40

Count n 16

Sum 206

Quartiles Quartiles:

Q1 --> 8.5

Q2 --> 11.5

Q3 --> 14.5

Interquartile

Range IQR 6

Outliers 40

Answer:

  46 m

Step-by-step explanation:

The perimeter of any figure is the sum of the lengths of its sides.

  8m +10m +10m +18m = 46 m

The perimeter of the figure is 46 meters.

[tex] \boxed{ \huge \bf \: Solution:—}[/tex]

[tex] \sf \longmapsto \dfrac{2}{3} \ + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10}{15} + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10 + 7}{15} [/tex]

[tex]\sf \longmapsto \dfrac{17}{15} [/tex]

[tex]\boxed{\huge\bf{Answer:—}}[/tex]

[tex]\bf \dfrac{17}{15} [/tex]

OR

[tex]\bf{1.13}[/tex]

Answer:

Step-by-step explanation:

Answer:

30x2−29xy−7y2

Step-by-step explanation:

=(5x+y)(6x+−7y)

=(5x)(6x)+(5x)(−7y)+(y)(6x)+(y)(−7y)

=30x2−35xy+6xy−7y2

=30x2−29xy−7y2

The prime numbers after 167, 118, 82, 57, 41 are 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

Prime numbers are numbers that are divisible by 1 and itself.

This are number greater than one with only two factors which are 1 and itself.

In other words, this number, when they are divided by another number other

than 1 or itself , one will get a remainder that is not zero.

Example of prime numbers are 2, 5, 7, 11, 13 etc.

The prime numbers after  167, 118, 82, 57, 41 are as follows:

37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

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the length of the box is represented by (8m2)

does that mean 8m^2?

in English that would be 8 times m^2 or 8 * m * m.

if that is true, then the volume of the box would be equal to (8*m^2)^3 which is equal to 8^3 * m^6 which is then simplified further to 512 * m^6 which can also be written as 512m^6.

if we assume that m is 3, then the side of the box is equal to 8 * 9 which is equal to 72 and that is cubed to get 373248.

working that out algebraically, it would look like this:

(8*3^2)^3 equals 8^3 * (3^2)^3 which is equal to 8^3 * 3^6 which is equal to 512 * 729 which is equal to 373248

The simplified expression that represents the volume of the box is D. 512m.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a cube or a square box can be calculated by multiplying the length of one side by itself twice since all sides of a cube are equal. Therefore, the volume of the square wooden box in the question is:

Volume = (8m')³

= 8m' * 8m' * 8m'

= 64m' * 8m'

= 512m"³

So the simplified expression that represents the volume of the box is 512m"³. Both options C and D in the original question have the same answer, but there is a typo in option D where it only says "512m" instead of "512m³".

Learn more about Volume here:

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#SPJ2

Answer:

x=5

Step-by-step explanation:

there is no y intercept

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{3x - 2x = 5}\\\mathbf{\rightarrow 1x = 5}\\\textbf{DIVIDE 1 to BOTH SIDES}\\\mathbf{\rightarrow \dfrac{1x}{1}=\dfrac{5}{1}}\\\textbf{CANCEL out: }\mathbf{\dfrac{1}{1}\textbf{ because it gives you 1}}\\\textbf{KEEP: }\mathbf{\dfrac{5}{1}}\textbf{ because it helps solve for the x-value.}\\\textbf{NEW EQUATION: }\mathbf{x = \dfrac{5}{1}}\\\textbf{SIMPLIFY IT!}\\\mathbf{x = 5}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 5}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\mathbf{Amphitrite1040:)}[/tex]

Answer:

[tex]y-11=\frac{4}{3}(x+2)[/tex] or y - 11 = (4/3)(x+2)

Step-by-step explanation:

Point-slope equation is:  [tex]y-y_1=m(x-x_1)[/tex]

If we replace y1 with 11 and x1 with -2 then this will be our resulting formula:

[tex]y-11=m(x+2)[/tex]

And of course we need to replace m with our slope:

[tex]y-11=\frac{4}{3}(x+2)[/tex]

Answer:

Step-by-step explanation:

Draw a line from S to T'

T' is where the angle PTQ intersects the circle when SR is extended so that it hits the circumference of the circle.

This line bisects the 50 degree angle (which is given. It also bisects PRS.

y is shown on the diagram.

Your first job is to find y

It's y + 90 + 25 = 180  because all triangles are made up of 180 degrees.

y it turns out is 65 degrees.

Now comes the interesting part. PRT' is supplementary to y. It is labeled as 180 - y

<PRT' + Y = 180

y = 65

<PRT' = 180 - 65 = 115

Since PRT' = 115 and since PR = PT'  (They are both radii). x/2 + x/2+ 115 = 180   I'll talk about x/2 down below this.

x + 115 = 180  All triangles = 180

x = 65.

Where did x/2 come? As long as PTQ is situated on the arc that it is on then <PTQ is always going to be x. You will have to piece together the two diagrams to make this work.i

It's a very good application of circles and lines well worth your time to get to know.

Answer:

1.375 decimal to fraction.

2/7 Fraction to Decimal

Step-by-step explanation:

Given that

3 cos 80° cosec 10° + 2 sin 59° sec 31°

⇛3 cos(90°-10°) cosec 10°+2 sin (90°-31°) sec 31°

We know that

sin (90° - A) = cos A

cos (90°-A) = sin A

⇛3 sin 10° cosec 10° + 2 cos 31° sec 31°

⇛3 sin 10° (1/sin 10°) + 2 cos 31° (1/cos 31°)

⇛3 (sin 10°/sin 10°) + 2 (cos 31°/cos 31°)

⇛3 (1) + 2(1)

⇛3+2

⇛5

Answer: Therefore, 3cos 80°cosec 10°+2cos 59°sec 31° = 5.

also read similar questions: (sin teta + sec teta)^ + (cos teta+ cosec teta )^ = (1 + sec x cosec)^

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Answer:

5

Step-by-step explanation:

you can rewrite this as

3cos(90*-10*) x 1/sin(10*) + 2sin(90*-31*) x 1/cos(31*)

=3sin(10*) x 1/sin(10*) + 2cos31* x 1/cos(31*)

reduce with sin(10*) to get

3+2cos(31*) x 1/cos(31*)

cross out the cos 31* on both sides to leave you with

3+2

5

Answer:

1/52

Step-by-step explanation:

A deck has 52 cards and the probability of picking a specific one is 1/52, or 1.92%

If you are looking for the probability of a diamond, it is 1/4, or 25%