Step-by-step explanation:
-3(6 - 2x) > 4x + 12
-18 + 6x > 4x + 12
2x > 30
x > 15
The solution set is (15, ∞).
Based on this construction, the value of m∠ABC is 64°.
<h3>How to find the angle?</h3>
From the point, E and D, two arcs are made which are intersecting each other at point P.
It means, that line BP is the bisector of angle ABC. ABC will be:
= 2 * 32=64
Therefore, based on this construction, the value of m∠ABC is 64°.
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Answer:
multiply 22.8 by 22.8
Step-by-step explanation:
The expansion of the given expressions are; 4x² - 5x - 5; 2x² - 13x + 15; -2x² - 5x + 3; 3x² + 6x - 1
<h3>How to simplify Quadratic equations?</h3>
A) x(x - 5) + 3x² - 5
Expanding this gives us;
x² - 5x + 3x² - 5
⇒ 4x² - 5x - 5
B) (2x - 3)(x - 5)
Expanding the function gives;
⇒ (2x² - 3x - 10x + 15)
⇒ 2x² - 13x + 15
C) -2x(x + 3) + x + 3
⇒ -2x² - 6x + x + 3
⇒ -2x² - 5x + 3
D) 3(x + 1)² - 4
⇒ 3(x² + 2x + 1) - 4
⇒ 3x² + 6x + 3 - 4
⇒ 3x² + 6x - 1
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Suppose we have the repeat decimal 0.123232323.... or 0.123 with a line over the repeated part (check the diagram)
- The first thing we need to do is identify the part of the decimal that repeats, 23 in our case.
- Second, we are going to assign a variable to our original decimal:
.
- Third, we are going to multiply both sides by a power of ten whose denominator will be the number of repeating digits. We know that we have 2 repeating digits (23), so we are going to multiply both sides by
, and
is just 100; therefore we get:
- fourth, subtract our original equation from the second step from the one from above:
Now we can cancel the repeated decimals to get:
- Last but not least multiply both numerator and denominator by a power of ten equals to the decimal digits in the numerator:
We now know how to convert a repeating decimal to a fraction.