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4 years ago

Find the midpoint of the segment with the following endpoints (-3,-9)(-7,-3)

Mathematics

1 answer:

barxatty [35]4 years ago

8 0

Answer:

(-5,-6)

Step-by-step explanation:

Let(-3,-9)=(x1,y1)

(-7,-3)=(x2,y2)

Using midpoint formula,

Midpoint(x,y)=((x1+x2)/2,(y1+y2)/2)

=((-3+(-7))/2,(-9+(-3))/2))

=((-3-7)/2),(-9-3)/2))

=((-10/2),(-12/2))

=(-5,-6)

Thus midpoint(x,y)=(-5,-6)

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the length of a rectangle is 5 inches longer than the width. the perimeter of the rectangle is 60 inches. what is the width of t

Bond [772]

The perimeter is the total of adding all of the side lengths together.

A rectangle has 2 opposite side lengths that are the same/equal to each other. So the perimeter of a rectangle is:

P = L + L + W + W or P = 2L + 2W

[P = perimeter, L = length, W = width]

L = W + 5 [the length is 5 inches longer than the width]

You can substitute (W + 5) for "L" in the equation.

P = 2L + 2W

P = 2(W + 5) + 2W

Since you know the perimeter, you can also plug it in.

60 = 2(W + 5) + 2W Multiply 2 into (W + 5)

60 = 2W + 10 + 2W

60 = 4W + 10 Subtract 10 on both sides

50 = 4W Divide 4 on both sides

12.5 = W

Your width is 12.5 inches, your answer is B

3 0

3 years ago

Use Modus Ponens to deduce the conclusion from each of the following pairs of premises:

Nuetrik [128]

The conclusion is a=c statement

A modus ponens argument has the same structure as a syllogism, with two premises and a conclusion:

If P, then Q.

P occurs.

Consequently, Q occurs.

The Modus Ponens rule of inference or rule of logic requires a single premise and its logical consequences. A conditional statement states that if event 1 occurs, event 2 will also occur and that event 2 will be inferred as the outcome if event 1 occurs. For instance, if A implies B and A is assumed to be true, then it follows that B must also be true according to the Modus Ponens rule.

Hence, By modus Ponens

a=b∧b=c ⇒ a=c

So, given a=b∧b=c Then

⇒a=c.

Hence the conclusion is a=c statement .

Learn more about Modus ponens here-

brainly.com/question/15268011

#SPJ10

5 0

2 years ago

A, B, and C are collinear points. B is between A and C. AB = 5x + 8 BC = 6x - 1 AC = 12x - 11 Find AC.

Vlada [557]

Answer:

AC = 198

Step-by-step explanation:

Since all these points are collinear, we know that the addition of AB plus BC should give the same as AC. We can then set an equation that addresses this identity:

AB + BC = AC

5x +8 +6x - 1 = 12x - 11

Now re-arranging like terms in order to combine them:

8 - 1 + 11 = 12x - 5x - 6x

19 - 1 = 12x - 11x

18 = x

Now that we know the value of 'x", we can determine the value of AC:

AC = 12x - 11

AC = 12 (18) - 11

AC = 216 - 18

AC = 198

8 0

4 years ago

A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell

guapka [62]

Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

The number of wind chimes sold per month will become 140 - 7x

$\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}$

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

6 0

3 years ago

14,000,000 in scentific notation

Anni [7]

7
1.4x10^

Hope this helps!!!!!!!!!

7 0

4 years ago

Read 2 more answers