3x+4y=-12 x-y=10 using elimination

Answer:

Line segment U V is a secant Line segment X Y is a tangent and intersects the circle at point U

Step-by-step explanation:

The required, XY is tangent to Circle Z, as of the given condition.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
From the diagram, we can use the Pythagorean theorem to justify whether XY is tangent to the circle Z, because if XY is the tangent then XYW is the right triangle.

So,
XY² = XW² + WY²

Substitute the value in the above expression,
16² = [2×6.4]² + 9.6²
256 = 256

Thus, XY is tangent to Circle Z.

Learn more about circle here:

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Answer:

According to the graph it should be D  Have a good day thank you <.>

Step-by-step explanation:

Answer:

D i think

Step-by-step explanation:

if it started at 54º, and in each one hour it grows 8 degrees, then it is d

not b because in the first hour it only went up to 60º

pls mark brainliest unless someone alreay answered it

thank you have a great day! :D

Answer:

4x^2+36x+81

Step-by-step explanation:

FOIL

First terms

Outside terms

inside terms

last terms

Answer:;Phone

Step-by-step explanation:Pquit

Answer:

1.5^2 = 2.25

(it looks like 1.5 but if it's 15 then it would be 225)

Step-by-step explanation:

1.5^2 means (1.5*1.5) you multiply the number by itself by how many it says to do. So if it were 1.5^52 you would multiply 1.5 by 1.5, 52 times.

Answer:

B.

Step-by-step explanation:

complantary angles add up to 90 degrees so 90-24 is 66

Answer:

1. A

2.B

Step-by-step explanation:

Supplement angles add up to 180°

Complement angles add up to 90°

Answer:

$0

Step-by-step explanation:

The initial value (y-int) is the output value when the input of a linear function is zero. This function is even, steadily increasing by the same amount. Therefore if the y-intercept is 0, the x value is also 0.

Answer:

19

Step-by-step explanation:

10 x 19 = 190

190 divided by 2 = 95

95 x 12 = 1140

Answer:

x = 24

y = 19

Step-by-step explanation:

From the picture attached,

m(∠CAB) = (5y - 23)° [Vertically opposite angles]

By applying triangle sum theorem in ΔABC,

(5y - 23)° + (2x + 13)° + 47° = 180°

2x + 5y = 143 -----(1)

(3x)° = (5y - 23)° [Corresponding angles]

3x - 5y = -23 -----(2)

By adding equation (1) and (2)

(2x + 5y) + (3x - 5y) = 143 - 23

5x = 120

x = 24

From equation (2)

3(24) - 5y = -23

72 - 5y = -23

5y = 95

y = 19

Answer:

- the angle at H is 120 degrees

- the missing segment is DC

Step-by-step explanation:

The "roof" FGH is bigger than 90 degrees because FG and GH are not acute. .

Without instruction we can assume FGH is 120 degree.

This means GHF is 30 degrees to complete the triangle FGH.

So the angle around H, or JHG is 90 + 30 = 120 degrees

For the ratio, we can simply look at the comparison between the small figure   DJHGF

and the large figure DCBAE, and we see that the denominator

DJ in the small figure is DC in the large figure.

Answer:

1.35!

Step-by-step explanation:

Its 1.35 dollars :). hope you get it right

Answer:

$1.35

Step-by-step explanation:

All you have to do is change 15% into a decimal by moving the decimal point two places left. so 15. moved two places left is 0.15

then multiply 0.15 times 9 and get 1.35

Answer:

2.5 feet

Step-by-step explanation:

According to the problem, computation of given data are as follows,

Length = 24 inches = 2 feet ( 1 feet = 12 inches)

Width = 18 inches = 1.5 feet  ( 1 feet = 12 inches)

So, we can calculate the diagonal length by using Pythagorean Theorem.

[tex]L^{2} + W^{2} = D^{2}[/tex]

Where, L is length, W is width, and D is diagonal length

So, by putting the value, we get

[tex]2^{2} + 1.5^{2} = D^{2}[/tex]

[tex]D^{2} = 4 + 2.25[/tex]

[tex]D = \sqrt{6.25}[/tex]

D = 2.5 feet

Hence, diagonal length is 2.5 feet.

Answer:

10 inches

Step-by-step explanation:

Given the side length if ABCD = 20 inches.

The midpoint of the sides ABCD implies the point that divides each of the sides into two equal parts.

Midpoint of side AB = BC = CD = AC = [tex]\frac{20}{2}[/tex] = 10 inches

So that, the side length of the square to be formed by joining the midpoints of the sides of ABCD is 10 inches.

Answer:

Here’s a file hosting..

SCROLL DOWN FOR LINK

Step-by-step explanation:

Answer is B, C, D, E, A

Answer:

-3, 3, 9

Step-by-step explanation:

Answer on Edge

The answer should be A because when I put them on a graph they were in the shape of a square/rectangle

Answer:

8x6=48 Your answer is 8 or 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the standared dies have six sample space

and the coin have two side

heads and tails

Answer:

24 times

Step-by-step explanation:

P(5 or 6) = 2/6

2/6 = x/72

cross-multiply:

6x = 144

x = 24

Answer:

i think it is 80

Step-by-step explanation:

Answer:

F.

Step-by-step explanation:

20=4*5

9=4+5

Answer:

2(x-10)/(x+10)(x-4)

Step-by-step explanation:

Find the complete question attached as a diagram

Given the following

F(x) = x-16/x²+6x-40

Factoring the denominator

F(x) = x-16/x²-4x+10x-40.

F(x) = x-16/x(x-4)+10(x-4)

F(x) = x-16/(x+10)(x-4)

g(x) = 1/x+10

Adding both functions

F(x)+g(x) = x-16/(x+10)(x-4) + 1/x+10.

F(x)+g(x) = x-16+(x-4)/(x+10)(x-4)

F(x)+g(x) = x-16+x-4/(x+10)(x-4)

F(x)+g(x) = x+x-16-4/(x+10)(x-4)

F(x)+g(x) = 2x-20/(x+10)(x-4)

F(x)+g(x) = 2(x-10)/(x+10)(x-4)

Answer:

C'=(-1,0)

B'=(-2,1)

A'=(-4,1)

D'=(-4,0)

Step-by-step explanation:

each point moves 3 right and 4 down ( follow the pattern)

Hope i helped :)

If a = 6 - [tex]\sqrt{35} [/tex], find the value of a² + [tex] \frac{1}{a²} [/tex]

a = 6 - [tex]\sqrt{35} [/tex] (Given)

Now, first of all we have to find the value of [tex] \frac{1}{a} [/tex].

So, [tex] \frac{1}{a} [/tex] = [tex] \frac{1}{6 \: - \: \sqrt{35}} [/tex]

[tex] \frac{1}{a} [/tex] = [tex] \frac{6 \: + \sqrt{35}}{(6 \: - \: \sqrt{35})(6 \: + \: \sqrt{35})} [/tex]

[tex] \frac{1}{a} [/tex] = [tex] \frac{6 \: + \sqrt{35}}{(6)² \: - \: (\sqrt{35})²} [/tex]

[tex] \frac{1}{a} [/tex] = [tex] \frac{6 \: + \sqrt{35}}{36 \: - \: 35} [/tex] [tex] (\because \sqrt{35} \: × \: \sqrt{35} \: = \: 35) [/tex]

[tex] \frac{1}{a} [/tex] = [tex] \frac{6 \: + \: \sqrt{35}}{1} [/tex]

[tex] \frac{1}{a} [/tex] = 6 + [tex]\sqrt{35} [/tex]

Now, we have to find the value of a² + [tex] \frac{1}{a²} [/tex]

So, a² + [tex] \frac{1}{a²} [/tex] = [tex] (a \: + \frac{1}{a})² [/tex] - 2.a.[tex] \frac{1}{a} [/tex]

a² + [tex] \frac{1}{a²} [/tex] = [tex] (6 \: - \sqrt{35} \: + \: 6 \: + \sqrt{35})² [/tex] - 2

a² + [tex] \frac{1}{a²} [/tex] = (12)² - 2

a² + [tex] \frac{1}{a²} [/tex] = 144 - 2

a² + [tex] \frac{1}{a²} [/tex] = 142

The value of a² + [tex] \frac{1}{a²} [/tex] is 142. [Answer]

Answer: 6 meters

Step-by-step explanation:

The question is to form an inequality to solve for the possible widths that the roped area could have.

Let the width be denoted as w.

23 + 2w = 35

2w = 35 - 23

2w = 12

w = 12/2

w = 6

Therefore, the width is 6 meters