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3 years ago

Compare using < or > or = -15____-21

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

5 0

<h3><u><em>Answer:</em></u></h3>

-15 > -21

We know that 15 < 21 then -15 > -21

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5 more than 3 times a number w

Mila [183]

3 times w+5

3xW+5 ......

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3 years ago

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

<em>In the right triangle ABM</em>

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

<em>In the right triangle BMC</em>

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

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

<em>Find the length of DC</em>

$DC=AC-2x$

substitute the given values

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

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

8 0

3 years ago

Please helpppp meeeee

aniked [119]

Answer: c
explanation:
Its f(x) but flipped and intersects at y = -3
good luck!

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What is 10x and a negative 15 over 10 plus one half

eimsori [14]

Answer:

-29/2

Step-by-step explanation:

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3 years ago

−k−(−8k) Combining like terms im confused!

melisa1 [442]

-k-(-8k)

= -k + 8k (two negatives equal one positive)

= 8k-k (flip it around because of the commutative property)

=7k (basic subtraction)

I really hope that helped :)

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3 years ago

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