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3 years ago

A triangle has vertices atA(-7,6) B(4,9) C(-2,-3)What are the coordinates of each vertex if the triangle is

Mathematics

1 answer:

nexus9112 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

A translation 4 units right means add 4 to the original x- coordinate.

A translation 6 units down means subtract 6 from the original y- coordinate.

The translation rule is (x, y ) → (x + 4, y - 6), thus

A(- 7, 6 ) → A'(- 7 + 4, 6 - 6 ) → A'(- 3, 0 )

B(4, 9 ) → B'(4 + 4, 9 - 6 ) → B'(8, 3 )

C(- 2, - 3 ) → C'(- 2 + 4, - 3 - 6 ) → C'(2, - 9 )

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Hi! Algebra two question, rational exponents.

ivanzaharov [21]

Simplifying $\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$ we get $\left(x+4y\right)}$

Step-by-step explanation:

We need to simplify:

$\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$

For solving, we will first simplify the terms inside the exponent and then solve exponent

First Solving: $\left(x^2+8xy+16y^2\right)}.\left(x+4y\right)}$

Using the formula: $(a^2+2ab+b^2)=(a+b)^2$

$\left(x^2+8xy+16y^2\right)}.\left(x+4y\right)}\\\left((x)^2+2(x)(4y)+(4y)^2\right)}.\left(x+4y\right)}\\\left(x+4y\right)^2}.\left(x+4y\right)}$

Using exponent rule:

$a^m.a^n=a^{m+n}$

$\left(x+4y\right)^{2+1}}\\\left(x+4y\right)^3}$

Now,

$(\left(x+4y\right)^3})^{\frac{1}{3}}\\Simplifiying:\\\left(x+4y\right)}^{\frac{3}{3}}\\\left(x+4y\right)}$

So, simplifying $\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$ we get $\left(x+4y\right)}$

Keywords: Solving Rational exponents:

Learn more about Solving Rational exponents at:

#learnwithBrainly

4 0

4 years ago

(−7c+8d)0.6<br><br> khan academy pls help.

Burka [1]

Answer:

$\sf -4.2c+4.8d$

Step-by-step explanation:

$\sf \left(-7c+8d\right)\cdot \:0.6$

$\sf 0.6\left(-7c+8d\right)$

Apply distributive property

$\sf 0.6\left(-7c\right)+0.6\times \:8d$

$\sf -4.2c+4.8d$

Have a good day!

4 0

3 years ago

HELPPPP THIS IS DUE TODAY plzzzz

professor190 [17]

Answer:

bobby

Step-by-step explanation:

-6 is a greater number for this problem

8 0

3 years ago

AB is a diameter. 48° B A What is the measure of BC? 180° 84 42° 96°

elena-14-01-66 [18.8K]

Answer:

84°

Step-by-step explanation:

The central angle of a circle is twice any inscribed angle subtended by the same arc.

because AB is a diameter, we also know that the triangle angle at C is 90° (all the inscribed triangles with their baseline being a diameter are right-angled).

as always, the sum of all angles in a triangle is 180°.

so, we know the triangle angle at A is

180 - 90 - 48 = 42°.

this is also the inscribed angle of the arc BC.

the central angle for arc BC (that is what is requested here) is then twice that angle : 2×42 = 84°

3 0

3 years ago

A retired woman has $80,000 to invest but needs to make $6,000 a year from the interest to meet certain living expenses. One bon

Svetach [21]

The woman will have to invest 40000 at .15 to earn 6000 a year in interest. that leaves her 40000 to invest in a cd.

I set this up...

6000/x=15/100
cross multiply giving you 600000=15x
divide 600000 by 15 for x.
40000

40000 from 80000 leaves 40000 for investing

5 0

4 years ago