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3 years ago

The inverse of a function is a function A) Always B) Sometimes C) Never

Mathematics

1 answer:

Lorico [155]3 years ago

4 0

The answer is sometimes. I hope this helps

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Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

e-lub [12.9K]

Answer:

$DC=\frac{8}{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

In the right triangle ABM

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

$AB=5\ units\\AM=x\ units$

substitute

$BM^2=5^2-x^2$

$BM^2=25-x^2$ -----> equation A

In the right triangle BMC

Applying the Pythagorean Theorem

$BM^2=BC^2-MC^2$

we have

$BC=7\ units\\MC=AC-AM=(9-x)\ units$

substitute

$BM^2=7^2-(9-x)^2$

$BM^2=49-(81-18x+x^2)$

$BM^2=49-81+18x-x^2$

$BM^2=-x^2+18x-32$ ----> equation B

equate equation A and equation B

$-x^2+18x-32=25-x^2$

solve for x

$18x=25+32\\18x=57\\\\x=\frac{57}{18}$

Simplify

$x=\frac{19}{6}$

Find the length of DC

$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

8 0

4 years ago

Erin put 20 vegetables on her tray. If 1/4 of them were carrots, how many carrots were on Christina’s and Erin’s trays? Explain

const2013 [10]

5 carrots, I found my answer by dividing 20 and 1/4

8 0

3 years ago

Read 2 more answers

One number is equal to the square of another. Find the numbers if both are positive and their sum is 306.

Oduvanchick [21]

Answer: 17 or -18

Step-by-step explanation:

x^2+x=306

x^2+x-306=0

(x-17)(x+18)=0

x-17=0

x=17

x+18=0

x=-18

..i think this is the right answer

8 0

3 years ago

Susan solved this problem. She says the answer is hours. Susan spent hours babysitting on Monday and hours babysitting on Tuesda

grandymaker [24]

Susan answer = 7 1/4

Approximate spent hours on monday = 3
Approx. spend hours on Tuesday = 4

So, In total, it is approx. 7

In short, Your Answer would be Option A. Susan’s answer is reasonable. She spent almost 3 hours babysitting on Monday and a little more than 4 babysitting hours on Tuesday (3 + 4 = 7). That is a little more than 7 hours in all.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Alex is training for his school's Jog-A Thon and needs to run at least 1 mile per day. If Alex runs to his grandma's house, whic

Sholpan [36]

True. 5/8 + 1/2 is. 9/8. Yes he have trained enough, even more than a mile

5 0

3 years ago