Please show work. Thanks​

Answer:

FD≈25.94.. rounded = 26

Step-by-step explanation:

FD²=12²+(4x+11)²

FD²=144+16x²+88x+121

FD²=265+16x²+88x

also

FD²=12²+(13x-16)²

FD²=144+169x²-416x+256

FD²=400+169x²-416x

thus

265+16x²+88x = 400+169x²-416x

16x²-169x²+88x+416x+265-400 = 0

-153x²+504x-135 = 0

we will solve this quadratic equation by suing the quadratic formula to find x

x=(-504±sqrt(504²-4(-153)(-135)))/2(-153)

x=(-504±[tex]\sqrt{504^{2}-4(-153)(-135) }[/tex])/2(-153)

x=(-504±[tex]\sqrt{254016-82620 }[/tex])/-306

x=(-504±[tex]\sqrt{171396}[/tex])/-306

x=(-504±414)/-306

x=(-504+414)/-306 and x=(-504-414)/-306

x=-90/-306 and x=-918/-306

x= 5/17 , 3

substituting x by the roots we found

check for 5/17:

4x+11 = 4×(5/17)+11 = (20/17)+11 = (20+187)/17 = 207/17 ≈ 12.17..

13x-16 = 13×(5/17)-16 = (65/17)-16 = (65-272)/17 = -207/17 ≈ -12.17..

check for 3:

4x+11 = 4×3+11 = 12+11 = 23

13x-16 = 13×3-16 = 23

thus 3 is the right root

therfore

ED=23 and CD=23

FD²=FE²+ED² or FD²=FC²+CD²

FD²=12²+23²

FD²=144+529

FD²=673

FD=√673

FD≈25.94.. rounded = 26

Answer:

Step-by-step explanation:

ED = CD ...... ( Tangent secant Property)

4x + 11 = 13x - 16

11 + 16 = 13x - 4x

27 = 9x

27÷9 = x

3 = x

so,

ED = 4x + 11 = 4(3) + 11

ED = 23

FE = 12 ...... ( given )

ΔFED = 90° ...... ( tangent property )

so,

FD² = FE² + ED²

FD² = 12² + 23²

FD² = 144 + 529

FD² = 673

FD = √673

FD = 25.94

FD = 26 (approx )

Answer:

Step-by-step explanation:

It is the 3rd or 1st one.

Step-by-step explanation:

The area of a triangle is calculated by multiplying height to the base and that divided by two

G.

13 × 20 ÷ 2 = 130 ft^2

H.

11 × 4 ÷ 2 = 22 ft^2

Answer:

The rise over run is -1/2

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

14 - 10 = 4 divided by 2 = 2 you do not get 4.

Answer:

371/1000

Step-by-step explanation:

The answer is 1000

Answer:

10n−13

Step-by-step explanation:

Let's simplify step-by-step.

n−10+9n−3

=n+−10+9n+−3

Combine Like Terms:

=n+−10+9n+−3

=(n+9n)+(−10+−3)

=10n+−13

Answer:

Step-by-step explanation:

Diameter d = 22 TD

Circumference = πd = 22π yd

54 13/36 hope this helps

Answer:

Step-by-step explanation:

to make it quick

2*110 = arc FI

220° = arc FI

arc LI = 97°

arc FL = x

360 = 220 + 97 + x

43 = X

arc FL = 43°

:)

Answer:

its incorrect.

Step-by-step explanation:

Answer:

Hello!!

your answer will be option D.96m^2

Step-by-step explanation:

[tex]a = 6 \times 10 + \frac{6 \times 12}{2} = 96m ^{2} [/tex]

hope it's helpful

have a great day

Answer:

i dont know but ...

Step-by-step explanation:

jjst ask ue internet thst eqiation ot will tell u x

Answer:(√3-√2)/2

Step-by-step explanation:

x=2√3+2√2

1/x=?

Here,1/x=1/(2√3+2√2)

= (2√3-2√2)/(2√3+2√2)(2√3-

2√2)

= (2√3-2√2)/(4×3-4×2)

=2(√3-√2)/12-8

=2(√3-√2)/4

=(√3-√2)/2 ans.

Answer:A TRANSLATION OF A GRAPH

Step-by-step explanation:is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function.

Answer:

y = -1/2x + 5

Step-by-step explanation:

Find slope:

change in y/change in x

(2-3)/(6-4)

-1/2 = m

Use point-slope form:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, let's use (4,3)

y - 3 = -1/2(x - 4)

Point-intercept form:

Expand y - 3 = -1/2(x - 4) to get point-slope form:

y = -1/2x + 5

Hope this helps!! :)

5.092in cubic and 1620π

Answer:

D.  - 5 ≤ x < 1

Step-by-step explanation:

The numerator cannot be the square root of a neg. no.

So, x + 5 ≥ 0 or x ≥ -5

The denominator cannot be a neg. no. or 0.

So, 1 - x > 0

      1 > x   or  x < 1

So, altogether  - 5 ≤ x < 1

Therefore, D is the correct answer.

Answer:

y = 2x - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 and c = - [tex]\frac{3}{4}[/tex] , then

y = 2x - [tex]\frac{3}{4}[/tex] ← equation of line

Answer: [tex]y=2x-\frac{3}{4}[/tex]

Step-by-step explanation:

We are going to have to put this into slope-intercept form

"y=mx+b"

m=slope

b=y-intercept

slope=2

y-intercept= [tex]-\frac{3}{4}[/tex]

Now we can put it all together, and remember the will always stay in the equation as it does not stand for anything.

[tex]y=2x-\frac{3}{4}[/tex]

Answer:

a=6

Step-by-step explanation:

write the equation as y=mx+b

y=-5/3x+b

solve for b

1=-5/3*-3+b

1-5=b

b=-4

Plug in -14 and solve for x

-14=-5/3x-4

-10=-5/3x

30/5=x

x=6 (x is basically a because a is the x coordinate)

Answer:

$545.1575

Step-by-step explanation:

Given function:

Solve ways:

Multiply 9.25 by 0.01:

Multiply the cost by 0.0925:

Combine 46.1575 by the first value:

Therefore, the PlayStation 5 will be a total cost of $545.1575.

Complete question :

A pair of designer sneakers was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price?

Answer:

$138

Step-by-step explanation:

Given that :

Initial price = $120

Percentage increase in price = 15%

The new price of sneakers:

Initial price + (percentage increase in price * initial price)

New price :

$120 + (15% * $120)

New price :

$120 + (0.15 * $120)

New price of sneakers :

$120 + $18

New price of sneakers = $138

Answer:

15.3 in²

Step-by-step explanation:

[tex]\frac{70}{360} * \pi * r^{2} =area\\[/tex]

70 is the angle

so using this we get 15.2716.. inch²

that rounds to 15.3 in²

Answer:

x pluse 10 y pluse 4 ...don't mind the dots

Answer:

190

Step-by-step explanation:

gooooooo

Answer:

4/5 x 2 1/2 < 2 1/2

Step-by-step explanation:

1/5 x 2 1/5 is 1/2 of 2 1/2 so 2 1/2 would be greater.

Answer:

8

Step-by-step explanation:

b - 19 = - 11

b = -11 + 19

b = 8

Answer:

2.5

Step-by-step explanation:

y=kx, k is constant of prop