Answer: A, x = square root of 60.
Step-by-step explanation:
Use the Pythagorean Theorem, a^2 + b^2 = c^2.
8^2 = 2^2 + x^2
x^2 = 8^2 - 2^2
x^2 = 64 - 4
x^2 = 60
x = sqrt of 60
<u>Answer</u>:
x = 7, y = 2
<u>Explanation</u>:
equations given:
x + 7y = 21
x + 4y = 15
make "x" the subject:
x + 7y = 21
x = 21 - 7y .........equation 1
x + 4y = 15
x = 15 - 4y .......equation 2
Solving both the equations simultaneously:
15 - 4y = 21 - 7y
-4y + 7y = 21 - 15
3y = 6
y = 6 ÷ 3
y = 2
If y is 2
Then x = 21 -7y;
x = 21 - 7(2)
x = 21 - 14
x = 7
Answer:
First since 2 of the options ask for the width of BM lets solve for it using the Pythagorean theorem for both sides of point L:
a² + b² = c²
30² + b² = 50²
b² = 50² - 30²
b² = 1600
b = 40 Line BL = 40 ft
Since the ladder is 50 feet it is the same length on the other side as well
a² + b² = c²
40² + b² = 50²
b² = 50² - 40²
b² = 900
b = 30 line LM is 30 ft
SO line lm + line bl = 30 + 40 = 70 ft
A is true because ^
B isn't true because as we solved for earlier, BL is 40
C is true because line LM is in fact 30 ft as we solved for
D is not true because as we said earlier BM is 70
E is true because the same ladder was used on both sides of the street
Step-by-step explanation:
Answer:
(-3, 4) is a solution
Step-by-step explanation:
The point (-3, 4) is inside the shaded area of the graph, so is a solution.
You can check in the inequality
y > -2x -3
4 > -2(-3) -3 . . . . substitute for x and y
4 > 3 . . . . . . . true; the given point is a solution
Answer:
937.5 packs of apples
Step-by-step explanation:
Note that:
100p = £1
80p = x
Cross Multiply
100x = 80p × £1
x = 80/100
x = £0.8
Jay sells 10 packs of apples for 80p.
Hence:
£0.8 = 10 packs of apples
£75 = x
Cross Multiply
£0.8 × x = £75 × 10 Packs
x = £75 × 10 Packs/£0.8
x = 937.5
Therefore, to make £75 at the end of the year, he has to sell 937.5 packs of apples
