Since the steps in Lin's solution are not shown, we are not able to find her erros. However, we can solve it step by step and find the correct result:

$8(x-3)+7=2x(4-17)$

Firstly, in the left part of the equation we have to multiply $8$ by the numbers inside the parenthesis; and in the right side we have to solve first what is inside the parenthesis:

$8x-24+7=2x(-13)$

Adding similar terms in the left side and multiplying $2x$ by the number inside the parenthesis in the right side:

$8x-17=-26 x$

Isolating $x$ :

$x=\frac{17}{34}$ This is the correct solution

4 0

3 years ago

What is the slope of the line shown in the graph?

lora16 [44]

Answer:

B. -2

Step-by-step explanation:

3 0

3 years ago

PLEASE HELP ME!!!!

Damm [24]

Answer:

sin C=h/a
substitution property of equality
commutative property of multiplication

Step-by-step explanation:

Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, sin(C) = h/a, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The substitution property of equality can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the commutative property of multiplication.

___

The mnemonic SOH CAH TOA reminds you that the sine ratio is ...

Sin = Opposite/Hypotenuse

Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...

sin(C) = h/a

The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:

1/2bh = 1/2ba·sin(C)

The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...

ba = ab

and

A = 1/2ba·sin(C) = 1/2ab·sin(C)

7 0

3 years ago