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2 years ago

If M is the midpoint of

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

6 0

Answer:

A. 10

Step-by-step explanation:

Based on the midsegment theorem, thus:

2x + 7 = ½(7x - 16)

Multiply both sides by 2

2(2x + 7) = 7x - 16

4x + 14 = 7x - 16

Combine like terms

4x - 7x = -14 - 16

-3x = -30

Divide both sides by -3

x = 10

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Write a fraction that is lees than 5/6 and has a denominator of 8

Sever21 [200]

A fraction that is less than 5/6 with a denominator of 8 is 1/8. The easiest way to see this is the decimal value of both fractions. 5/6 is equal to approximately .833 while 1/8 is equal to .125.

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3 years ago

The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is

trasher [3.6K]

The function is graphed as shown below

Part A:

We use the formula $- \frac{b}{2a}$ to find the vertex of the function. A quadratic function of the form of $a x^{2} +bx+c$ and equating this form to the given function $- x^{2} +20x-75$ , we have
$b=20$ and $a=-1$ .

Substituting $a$ and $b$ into the vertex formula, we have
$x=- \frac{20}{2(-1)}=10$ , as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

$- x^{2} +20x-75=0$
$-( x^{2} -20x+75)=0$
$x^{2} -20x+75=0$
$(x-5)(x-15)=0$
$x=5$ and $x=15$ , as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

8 0

3 years ago

The vagabonds were 200 miles apart at 2 p.M and were headed toward each other if they met at 6 p.M and one was traveling 10 mile

muminat

Answer:

The answer is 200

Step-by-step explanation:

To solve the question given, let us recall the following,

Let r4=200 miles apart

r=50 mph combined speed

Where

2f+10=50

2f=40

f=20

f+10=30

or we can express it in another way,

which is

f x4+(f+10)x 4=200

f x4+f x4+40=200

8f+40=200

Then

8f is =160

f=20

f+10=30

Therefore,

4x 20+4 x 30=200

80+120=200

200=200

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2 years ago

Read 2 more answers

Write the following decimals as fractions in simplest form

rewona [7]

-19/25 if you simply it by 4

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3 years ago

The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of points C are (0, -3). The origin is the mid –point

Kobotan [32]

Answer

Point b is (0,0) Point a is (3,-2) Im not doing the second part

Step-by-step explanation:

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2 years ago