Factor the following:
35 u v - 5 u - 56 v + 8
Factor terms by grouping. 35 u v - 5 u - 56 v + 8 = (35 u v - 56 v) + (8 - 5 u) = 7 v (5 u - 8) - (5 u - 8):
7 v (5 u - 8) - (5 u - 8)
Factor 5 u - 8 from 7 v (5 u - 8) - (5 u - 8):
Answer: (5 u - 8) (7 v - 1)
Where did you get the singers from? And what does 80% of y have to do with singers?
QN = 28
Solution:
Given MNPQ is a parallelogram.
QT = 4x + 6 and TN = 5x + 4
To find the length of QN:
Let us solve it using the property of parallelogram.
Property of Parallelogram:
Diagonals of the parallelogram bisect each other.
Therefore, QT = TN
⇒ 4x + 6 = 5x + 4
Arrange like terms together.
⇒ 6 – 4 = 5x – 4x
⇒ 2 = x
⇒ x = 2
Substitute x = 2 in QT and TN
QT = 4(2) + 6 = 14
TN = 5(2) + 4 = 14
QN = QT + TN
= 14 + 14
QN = 28
The length of QN is 28.
ANSWER
169.1m
EXPLANATION
From the diagram, the horizontal distance traveled is x meters.
This is the side adjacent to the 6° angle.
Since we know the hypotenuse to be 170m, we use the cosine ratio to find the value of x.
.
This implies that
x=170cos(6°)
x=169.0687222
To the nearest tenth, the horizontal disance travelled is 169.1m
The value of z from the equation is 20
<h3>What are algebraic expressions?</h3>
Algebraic expressions are defined as expressions that made up of terms, variables, factors, coefficients, and constants.
They are also made up of mathematical or arithmetic operations such as:
- Multiplication
- Division
- Subtraction
- Bracket, etc
Given the equation;
44/z = 11/5
To determine the value of z, cross multiply
z × 11 = 44 × 5
Multiply through
11z =220
Now, make 'z' the subject of formula by dividing both sides by z
z = 220/11
z = 20
Thus, the value of z from the equation is 20
Learn more about algebraic expressions here:
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