help me with my homrwork​

Answer:

(x + 7)² + (y - 1)² = 64

Step-by-step explanation:

Use the equation of a circle, (x - h)² + (y - k)² = r²

Plug in the point and center, then solve for r:

(x - h)² + (y - k)² = r²

(-7 + 7)² + (9 - 1)² = r²

0 + 64 = r²

64 = r²

8 = r

Then, plug in the center and r² into the equation:

(x + 7)² + (y - 1)² = 64

So, (x + 7)² + (y - 1)² = 64 is the standard form of the circle's equation

The limit of the given function is 1/2

Given the following limit of a function

lim x→0 √(x²+4)-2/x²​

Substitute the limit to have:

√(0²+4)-2/0²​

√4 - 2/0

2-2/0

0/0 (ind)

Apply the L'hospital rule to have;

lim x→0 d/dx√(x²+4)-2/(d/dx)x²​

lim x→0 (x²+4)^-1/2 * 2x/2x

lim x→0 (x²+4x)^-1/2

Substitute

(4)^-1/2

1/2

Hence the limit of the given function is 1/2

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Answer:

127

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

The answer is M = (C-5)/4

The triangle ABC drawing, which has vertices at A (1,6), B (1,1), and C (5,1) is shown below.

A triangle is the most basic form for a polygon with three sides and three vertices. Triangles are divided into various groups using their sides and angles. The triangle's total angle is always equal to 180 degrees, which is an interesting triangle fact (straight angle).

It is common knowledge that a triangle is a type of polygon with three edges and three vertices.

A, B, and C are frequently used to denote its vertices, making it one of the most important shapes in geometry.

A (1,6), B (1,1), and C (5,1) will be picked as the points. 〖〖AB〗^2+ 〖BC〗^2= AC〗^2

Hence, the image of the triangle ABC's design, which has vertices at A (1,6), B (1,1), and C (5,1) is linked above.

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Answer:

Step-by-step explanation:

Vicky  jogged 4 1/2 miles or 9/2 miles  or 4.5 miles

7/8 of 60 min=(7*60)/8=(7*15)/2= 52.50 min

4.5 miles....................52.50 min

? miles.......................60 min

vicky will have a rate of 5.14 miles/hour

Answer:

-1/3 I think

Step-by-step explanation:

use the slope formula

Answer:

1/4 cups

Step-by-step explanation:

Answer: 0.25

Step-by-step explanation:

Answer:

25-1/2=

Step-by-step explanation:

Answer:

6 foot

Step-by-step explanation:

Since the board is 12foot and the angle makes 60 degrees to the wall, we can assume that it is the 30,60,90 degreees. 30,60,90 degrees triangle makes the side of x, 2x ,and xroot3.

Hence, the board(12foot) is equal to 2x.

x=6

Answer:

the absolute maximum is 3 because it's the highest point on the graph

Step-by-step explanation:

Answer:

I KNOW RIGHT!!

Step-by-step explanation:

Answer:

in entering school in first you are excited but in every day entering school you feel boring this is why school is hard

Step-by-step explanation:

pick me as the brainliest

Answer:

Percentage Gain = 12.5%

Step-by-step explanation:

Given

[tex]Cost\ Prize = 9.60[/tex] per dozen

[tex]Selling\ Price = 18[/tex] per 20

Required

Determine the percentage gain or loss

First, we have to calculate the unit cost price and the unit selling price.

If a dozen costs 9.60

Then 1 costs

[tex]Cost = 9.60/12[/tex]

[tex]Cost = 0.80[/tex]

If he sells 20 for 18

Then he sells 1 for:

[tex]Sell = 18/20[/tex]

[tex]Sell = 0.9[/tex]

The percentage change is then calculated as:

[tex]\%Change = \frac{Sell - Cost}{Cost} * 100\%[/tex]

[tex]\%Change = \frac{0.9 - 0.8}{0.8} * 100\%[/tex]

[tex]\%Change = \frac{0.1}{0.8} * 100\%[/tex]

[tex]\%Change = \frac{0.1 * 100\%}{0.8}[/tex]

[tex]\%Change = \frac{10\%}{0.8}[/tex]

[tex]\%Change = 12.5\%[/tex]

Because the percentage change is positive, then he made a gain.

Hence:

Percentage Gain = 12.5%

Answer: 239.45

Your welcome if this was for an assignment.

Answer:

I think these triangles cannot be proven congruent

Answer:

[tex]2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}[/tex]

Step-by-step explanation:

Given the expression

[tex]2ab^2-\frac{a^2b^2}{5}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:2ab^2=\frac{2ab^25}{5}[/tex]

[tex]2ab^2-\frac{a^2b^2}{5}=\frac{2ab^2\cdot \:5}{5}-\frac{a^2b^2}{5}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

                 [tex]=\frac{2ab^2\cdot \:5-a^2b^2}{5}[/tex]

                 [tex]=\frac{10ab^2-a^2b^2}{5}[/tex]

Thus,

[tex]2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}[/tex]

Answer:

27 cm²

Step-by-step explanation:

its in the picture idk how to explain

Answer:

Step-by-step explanation:

use the area of trapezoid:

A = h/2 (b₁ + b₂)

where h = 3 cm

         b₁ = 6 cm

         b2 = 3 cm

plugin values into the formula:

A = 3/2 (6 + 3)

A = 13.5 cm²

Answer: The purple coupon is the best deal.

Explanation: If an apple pie is $12, with the orange coupon, you will only pay $7. On the other hand, with the purple coupon, you will only pay $6.60. So the purple coupon is the best deal.

Answer:

B) x = 0

Step-by-step explanation:

To find the solution value that satisfies the inequality x – 6 ≥ –7, you must plug every x value into the x and see which one works.

Plug -5 into x

-5 – 6 ≥ –7

Combine like terms

-11 ≥ –7

This is false, -11 is not greater than or equal to -7.

Plug 0 into x

0 – 6 ≥ –7

Combine like terms

– 6 ≥ –7

This is true, -6 is greater than -7.

Plug -2 into x.

-2 – 6 ≥ –7

Combine like terms

-8 ≥ –7

This is false, -8 is not greater than or equal to -7.

Plug -7 into x.

-7 – 6 ≥ –7

Combine like terms

-13 ≥ –7

This is false, -13 is not greater than or equal to -7.

B) x = 0 is the only solution that is true and works, so that is your answer.

Have a lovely rest of your day! :)

Answer:

x>8

Step-by-step explanation:

4+3x>24

-4      -4

3x > 24

/3     /3

x > 8

Dale should use the $15 dollars off coupon to save the most money which costs 47.00.

25% off of 47.00 is 45.49.

$15 off of 47.00 is 32.00.

The $15 off coupon makes the DVD player cost less, so he should use that one.

Answer:

23/2 equals 11.5

Step-by-step explanation:

Answer:

23 divided by two is 11.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(4+7a^2)

=8+14a^2

=7a^2+4

OR if that 2 is an exponent

(4+7a^2)^2

=(4+7a^2)(4+7a^2)

=16+49a^4+28a^2+28a^2

=49a^4+56a^2+16

Answer:

y = 130

x = 50

Step-by-step explanation:

y = 130 corresponding angles of parallel lines are congruent

x = 50 supplementary angles of a straight line add to 180

Answer:

y=130

x=50

Step-by-step explanation:

hope it helps

Answer:

take another picture

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Let's first write the equation of y = 12 in slope-intercept form. Slope-intercept form is represented as:

y = mx + b

Where...

m: slope

b: y-intercept (the y-value at where the line intercepts the y-axis)

(x, y): any coordinate on the line

This line has a slope of 0 and a y-intercept of 12, therefore its equation is:

y = 0x + 12.

Parallel lines have the same slope. Therefore the equation of the parallel line can be represented as:

y = 0x + b

We need to find b, or the y-intercept.

Let's substitute the point given to us into the equation.

y = 0x + b

2 = 0(3) + b

2 = 0 + b

b = 2

Therefore the equation of a line parallel to y = 12 that contains the point (3, 2) is y = 2.

Answer:

True

Step-by-step explanation:

Yes, you'd be a millionaire in less than a month.