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4 years ago

8

If f(x)=-2x^2+5x-3 and g(x) is the reflection of f(x) across the y-axis, then an equation of g is which of the following

1 answer:

Ymorist [56]4 years ago

3 0

To reflect a function across the y-axis you have to change

$x\mapsto -x$

So, the function becomes

$f(x)=-2x^2+5x-3 \mapsto f(-x)=-2(-x)^2+5(-x)-3=-2x^2-5-3$

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stiv31 [10]

Answer:

11. 68.6 mph

12. 5/6 page (0.83)

Step-by-step explanation:

You simply divide them (remember the word "per" means divide).

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3 years ago

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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

so

<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

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

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

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4 years ago

What is the distance between the points (–3, 4) and (–7, 4)?

Liono4ka [1.6K]

10 I hope this helps bye

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3 years ago

Read 2 more answers

2+square root x+4:10

Katyanochek1 [597]

Assuming the ':' means an = sign, 2 $\sqrt{x+4}$ =10 simplifies to 2 $\sqrt{x}$ =8

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3 years ago