If a translation of T-3,-8(x, y) is applied to square ABCD, what is the y-coordinate of B?

natita [175]

Greetings!

Solve for d.
$1/6d + 2/3 = 1/4(d-2)$
Distribute the Parenthesis.
$1/6d + 2/3 = 1/4*d+1/4*-2$
$1/6d + 2/3 = 1/4d+1/4*-2/1$
$1/6d + 2/3 = 1/4d-2/4$
Reduce.
$1/6d + 2/3 = 1/4d-1/2$
Add -2/3 to both sides.
$(1/6d + 2/3)+(-2/3)=(1/4d-1/2)+(-2/3)$
Simplify.
$1/6d=1/4d-3/6-4/6$
$1/6d=1/4d-7/6$
Add -1/4d to both sides.
$(1/6d)+(-1/4d)=(1/4d-7/6)+(-1/4d)$
Simplify.
$2/12d)-3/12d=-7/6$
$-1/12d=-7/6$
Divide both sides by -1/12.
$(-1/12d)/-1/12=(-7/6)/-1/12$
Simplify.
$d=(-7/6)*-12/1$
$d=84/6$
Reduce.
$d=14/1$
$d=14$

Hope this helps.
-Benjamin

7 0

4 years ago

What sample size would you need in order to have a 94% confidence interval that is 8% wide? Do this calculation twice: once with

balu736 [363]

U would need 25% to equal wide

3 0

3 years ago

A new mixture of self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 70

777dan777 [17]

Answer:

450 ounces

Step-by-step explanation:

We know that the cost of the mixture $C_m$ must be the cost of the everyday moisturizing lotion $C_e$ plus the cost of the self-tanning lotion $C_s$ , which means $C_m=C_e+C_s$ .

The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:

$n_m c_m=n_e c_e + n_s c_s$

But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have

$n_e c_e + n_s c_s=n_m c_m=(n_e+n_s) c_m=n_e c_m+n_s c_m$