Answer:
x = 3
Step-by-step explanation:
6x + 7 = 9x - 2
-3x = -9
x = 3
As points, x-intercepts take the form
, so to find the intercepts we can set
and solve for
.
From the first equation alone, we already know that
is a solution, which means one intercept is
.
The second equation gives
so that the second intercept occurs at
.
So if
and
, we have
, giving C as the answer.
Given is <span>(x - 4⁸)
</span>Her factors are <span>(x² - 4²)² (x² + 4²)
</span>Let us prove whether her solution is correct or not.
<span>
(x² - 4²)² (x² + 4²)</span>
(x⁴ - 4⁴) (x² + 4²) ; Follow PEMDAS rule as well as exponential multiplication rule which tells that when exponents are multiplied, the exponents will be added.
By using FOIL(First, Outside, Inside, Last) Method, we can prove if Angelina's solution is correct. NOTE: Do not disregard the positive or negative.
(<u>x⁴</u> - 4⁴) (<u>x²</u> + 4²) ; For the First, multiply the first terms. They are underlined.
This gives you a partial answer: x⁶ (Exponential Law of Multiplication is applied)
(<u>x⁴</u> - 4⁴) (x² <u>+ 4²</u>) ; For the Outside, multiply the outside terms. They are underlined. This gives you an additional to the partial answer: x⁶ + 4²x⁴
<span>(x⁴ <u>- 4⁴</u>) (<u>x²</u> + 4²) ; For the Inside, multiply the inside terms. They are underlined. This gives you an additional to the partial answer: </span>x⁶ + 4²x⁴ - 4⁴x²
(x⁴ <u>- 4⁴</u>) (x² <u>+ 4²</u>) ; For the Last, multiply the last terms. They are underlined. This will give you an additional to the final answer: x⁶ + 4²x⁴ - 4⁴x² - 16⁶ = 0
Final Answer in complete sentence:
The result of multiplying the factors is x⁶ + 4²x⁴ - 4⁴x² - 16⁶ = 0 and is too far compared to (x - 4⁸) which is already a factor.
The angle measure would be 53°.
Complementary angles add up to 90° so, if you're trying to find the other angle measure just subtract the angle measurement that you already know from 90.
90 - 37 = 53
Hope this helps! :)<span />
