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katovenus [111]

3 years ago

9

Let P be a point between points S and T on 2004-01-01-02-00_files/i0120000.jpg. If ST = 21, SP = 3b – 11, and PT = b + 4, solve

for b.
A. –7
B. 7
C. 14
D. 32

1 answer:

tigry1 [53]3 years ago

8 0

I think its C.Hope this helps

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I AM IN DESPERATE NED OF QUICK HELP PLEASEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!

rosijanka [135]

Answer:

16

Step-by-step explanation:

To solve this equation, we need the formula for perfect squares:

$(a + b)^2 = a^2 + 2ab + b^2$

or

$(a - b)^2 = a^2 - 2ab + b^2$ <em>this is the formula we will use because the signs match the one in the question</em>.

Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.

Work:

$(v - x)^2 = v^2 -8v + x^2$

this is the setup for being able to solve for the unknown $x$ , now we need to solve for $x$ .

$(v - x)^2 = v^2 - 8v + x^2$ (I replaced $2ab$ with $8v$ because I'm setting up this question to be a perfect square).

$(v - x) (v - x) = v^2 - 8v + x^2$

multiply the left side. Remember that your answer will not be $v^2 + x^2$ , but $v^2 - 2vx +x^2$ .

$v^2 - 2vx + x^2 = v^2 + 8v + x^2$

Divide like terms and isolate the variable. In this case, $v^2$ and $x^2$ are on both sides, so dive them and they will be canceled out.

$2vx = 8v$

divide by $2v$ and you will have your value for $x$ .

$x = 4$

Now we plug $x$ into our original equation equation for perfect squares.

$(v - 4)^2 = v^2 - 8v + 16$

Our final answer is 16.

5 0

4 years ago

Generally speaking, the ____ quality, the ___

oksano4ka [1.4K]

The higher the quality the higher the price

5 0

4 years ago

Given: AB with coordinates of AC-3, -1) and B(2, 1)

andrezito [222]

Answer:

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Step-by-step explanation:

up 2, to the right 3.

8 0

3 years ago

A business made a profit of $980 this month. Last month, it made 84% of this month's profit. About how much was last month's pro

Leviafan [203]

Answer:

$823.20

Step-by-step explanation:

84% of $980 = 0.84 * 980

= $823.20

6 0

3 years ago

Eli’s class held a fund raising event last month. The class’s expenses were+5.75, +4.75, and +3.75. The amounts of money the cla

Step2247 [10]

The different orders of computation is +56.6

Based on the funding in Eli's class;

The class’s expenses were +5.75, +4.75, and +3.75

Total expenses = +5.75 +4.75 +3.75

Total expenses = +14.25

If the amounts of money the class raised were +13.50, +24.70, +13.15, and +19.50, the total raised is expressed as:

Total money raised = 13.50 +24.70 + 13.15 +19.50

Total money raised = +70.85

Difference in computations = +70.85 - 14.25

Difference in computations = +56.6

Hence the different orders of computation is +56.6

Learn more here: brainly.com/question/21002308

4 0

3 years ago