Each of the equations can be solved as shown below:
a. 
(<em>addition property of equality</em>)
(<em>Subtraction property of equality</em>)
<em> (Division property of equality)</em>
<em />
b. 
<em>Add like terms </em>
<em />
(<em>Subtraction property of equality</em>)
<em> (Subtraction property of equality)</em>
<em />
<em> (Division property of equality)</em>
<em />
c. 
d. 
<em>The value of x in each </em><em>equation</em><em> are:</em>
<em />
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PLEASE HELP! In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR. Submit the entire proof to your instructor.
Given:
RS ⊥ ST
RS ⊥ SQ
∠STR ≅ ∠SQR
Prove:
△RST ≅ △RSQ
Answer:
Option a is correct.
Step-by-step explanation:
Since both fiber and sugar are types of carbohydrates and it is given that a portion of food has 24 gm of total carbohydrate and within which 2 gm of fiber and 12 gm of sugar.
Therefore, this food contains 2 g of fiber, 12 g of sugars, and 10 g of other unnamed carbohydrates, for a total of 24 g.
Hence, option (a) is correct. (Answer)
Answer: It is a difference of two squares, and it factors to (3x-7)(3x+7)
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Explanation:
We can write the 9x^2 as (3x)^2 since
(3x)^2 = (3x)*(3x) = (3*3)*(x*x) = 9x^2
The 49 can be written as 7^2 because 7^2 = 7*7 = 49.
This means 9x^2 - 49 is the same as (3x)^2 - 7^2. We have a difference of two squares.
The difference of squares factoring rule is
a^2 - b^2 = (a-b)(a+b)
which we have a = 3x and b = 7 in this case
So,
a^2 - b^2 = (a-b)(a+b)
(3x)^2 - 7^2 = (3x-7)(3x+7)
9x^2 - 49 = (3x-7)(3x+7)
Side note: This is the same as (3x+7)(3x-7). We can multiply two numbers in any order.
Answer:
y=-1/2x-2
Step-by-step explanation:
simplify the expression to get the equation in slope intercept form, and find the graph that fits it
