Given the following diagram, find the required measure.
2 answers:
Answer:
Step-by-step explanation:
From the given diagram, it is given that the line l is parallel to the line m and the measure of the angle 1 is 140° and the measure of the angle 3 is 50°.
We have to find the measure of the angle 4, thus
Using the straight line property, we have
⇒
⇒
⇒
Therefore, the measure of the angle 4 is 130°
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The discriminant explains how many solutions the quadratic function has. It is found using this formula:
Using the formula, there are three rules. Let's say the discriminant=d:
d<0 - No solution ø
d=0 -ONLY 1 solution
d>0 -2 solutions
In the following graph, there are no solutions as the graph does not hit the x-axis at any point. Thereafter, the discriminant MUST be less than zero. Let's view the options check which one agrees with our answer.
A - Discriminant is greater than 0, which means two solutions. This is WRONG.
B - Discriminant is less than 0, which means no solutions. CORRECT!
C- Discriminant is equal to 0, which means one solution. WRONG!
Your answer is B.
Using the formula, there are three rules. Let's say the discriminant=d:
d<0 - No solution ø
d=0 -ONLY 1 solution
d>0 -2 solutions
In the following graph, there are no solutions as the graph does not hit the x-axis at any point. Thereafter, the discriminant MUST be less than zero. Let's view the options check which one agrees with our answer.
A - Discriminant is greater than 0, which means two solutions. This is WRONG.
B - Discriminant is less than 0, which means no solutions. CORRECT!
C- Discriminant is equal to 0, which means one solution. WRONG!
Your answer is B.
Answer: OPTION C
Step-by-step explanation:
Remember that:
And the Product of powers property establishes that:
Rewrite the expression:
Descompose 18 and 32 into their prime factors:
Substitute into the expression, then:
Finally,simplifying, you get:
I used similarities in triangles
