Answer:
Step-by-step explanation:
We have been given that triangle ABC is an isosceles triangle with AB=BC. We are also told that D and E are midpoints of AB and BC respectively.
To find the length of segment DE, we will use mid-segment theorem, which states that length of line segment joining midpoints of two sides of triangle is half the measure of third side of triangle.
So we can set an equation to find the length of DE as:
Therefore, the length of DE is 4 units.
Answer:
cups plaster of paris.
Step-by-step explanation:
Given:
for one batch of sidewalk chalk = cup plaster of paris.
Number of bathes = 3
We need to find quantity of plaster of paris.
Solution:
For making 1 batch of sidewalk chalk = cup plaster of paris.
For making 3 batches of sidewalk chalk = cup plaster of paris.
Therefore, he needed cups plaster of paris.
Answer:
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:
So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:
Simplify:
Solve for <em>k</em>. Subtract 3 from both sides:
Factor:
Zero Product Property:
Solve:
So, either of the two expressions:
Will yield 3 as the remainder.