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3 years ago

Solve for x for #5 and 6

Mathematics

1 answer:

Alex777 [14]3 years ago

7 0

Answer:

In 5:

UM and MS are equal since the diagonals US and VT have perpendicularly bisected each other.

So,15=6x-3

15+3=6x

18=6x

3=x

In 6:

ET=TC

8=x-4

8+4=x

12=x

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A rental hall has 60 tables.

DedPeter [7]

Answer:

Plz name me brainlieset thank you

Step-by-step explanation:

55% of the tables would be 33 tables times 10 chairs equals 330 Chairs That mean 60 Tables -33 tables Leaves you with 27 tables Times 8 Chairs Equals 216 Chairs So 330 and 216Equals 546 chairs

5 0

3 years ago

Read 2 more answers

A circle is centered at the point (5,-4) And passes through the point (-3,2). What is the equation of the circle?

Natalka [10]

The equation of a circle is:

(x-h)2 + (y-k)2 = r2

where (h,k) is the location of the center and r is the radius. So we need to find h, k, and r. The center is given as (5,-4) so h = 5 and k = -4:

(x-5)2 + (y-(-4))2 = r2
(x-5)2 + (y+4)2 = r2

So we need to find r. Use the distance formula to find the distance between (5,-4) and (-3,2):

r = [(5-(-3))2+((-4)-2)2]1/2
r = [82 + (-6)2]1/2
r = [64 + 36]1/2
r = 1001/2

r= 10

The final equation is:

(x-5)2 + (y+4)2 = 102

8 0

3 years ago

QUICKKK!!!!! PLEASEEEEEEEEEE

Valentin [98]

Answer:

10.29 (rounded = 10.30)

Step-by-step explanation:

X = a^2 + b^2 = c^2

X = 9^2 + 5^2 = c^2

X = (81) + (25) = c^2

X = 106 = c^2

X = √106 = c^2

X = 10.295630141 = c^2

X = 10.03 = c^2 (10.03 is 10.295630141 rounded to the nearest tenth)

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3 years ago

Micah is writing a function that models the height a dolphin reaches when it propels itself from underwater to the surface, leap

stepladder [879]

Answer:

The dolphin will be above the surface of the water for 2 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

The height of the dolphin after t seconds is given by:

$h(t) = -16t^2 + 96t - 128$

According to Micha's model, how long will the dolphin be above the surface of the water?

It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which $h(t) = 0$ it crosses the surface upwards, and then the second time for which $h(t) = 0$ it crosses the surface downwards.