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3 years ago

If T is the circumcenter of MNP, find the indicated measure: Find MN

Mathematics

1 answer:

jolli1 [7]3 years ago

5 0

Answer:

MN = 55

Step-by-step explanation:

Since T is the circumcenter of ∆MNP, it follows that the perpendicular bisector of side MN divides MN into two equal parts.

Therefore:

MR = RN

MR = 10x -13

RN = 17x - 41

Thus:

10x - 13 = 17x - 41

Collect like terms

10x - 17x = 13 - 41

-7x = -28

Divide both sides by -7

x = 4

MR + RN = MN

(10x - 13) + (17x - 41) = MN

Plug in the value of x

(10(4) - 13) + (17(4) - 41) = MN

(40 - 13) + (68 - 41) = MN

27 + 27 = MN

54 = MN

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The function p(x) = - 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from

dolphi86 [110]

ANSWER

$28

EXPLANATION

The profit function is given as:

$p(x) = - 2 {(x - 9)}^{2} + 100$

where x is the price of the T-shirt in dollars.

To find the profit on a T-shirt whose price is $15, we substitute x=15 into the function and simplify.

$p(15) = - 2 {(15 - 9)}^{2} + 100$

We simplify to get:

$p(15) = - 2 {(6)}^{2} + 100$

$p(15) = -72+ 100$

$p(15) = 28$

6 0

2 years ago

Determine the value of the ?

goblinko [34]

Answer:

$x^{2} y^{3}$

Step-by-step explanation:

Using the Quotient rule:

$\frac{a^{m}}{a^{n}} = a^{m - n}$

We can subtract the exponents of x and y:

$\frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{(6 - 4)} y^{(10 - 7)}$

Therefore, $\frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{2} y^{3}$

Please mark my answers as the Brainliest if you find this explanation helpful :)

5 0

2 years ago

A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed

RoseWind [281]

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12 Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24 Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current) Divide by 12

r_boat + current = 2 (r_boat - current) Remove the brackets.

r_boat + current = 2*r_boat - 2* current add 2 currents to both sides

r_boat + 3currents = 2*r_boat Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current. Divide by 12

20 = r_boat + current Put 3 currents in for r_boat

20 = 3currents + 1 current Combine

20 = 4 currents Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

8 0

2 years ago

N/2+5=3<br><br> n/2 (as in fractions )

Rudik [331]

N= -4

-4/2+5=3

-2+5=3 you have to subtract the 5 from three first and then multiply the answer by 2 to get n

3 0

3 years ago

Read 2 more answers

I don't have any idea.

kaheart [24]

Answer:

Domain = ( -∞,∞), {x|x ∈ R}

Range (-∞,2], {y|y ≤ 2}

Vertex (h,k) = (6,2)

Step-by-step explanation:

(Domain / Range) The absolute value expression has a V shape. The range of a negative absolute value expression starts at its vertex and extends to negative infinity.

(Vertex) To find the x coordinate of the vertex, set the inside of the absolute value

x − 6 equal to 0 . In this case, x − 6 = 0 .

x−6=0

Add 6 to both sides of the equation.

x=6

Replace the variable x with 6 in the expression.

y=−1/3⋅|(6)−6|+2

Simplify−1/3⋅|(6)−6|+2.

y=2

The absolute value vertex is ( 6 , 2 ) .

(6,2)

Hope this helps

6 0

3 years ago