Answer:
Step-by-step explanation:
y = 5x - 43.....slope is 5
a parallel line will have the same slope
(-6,0)...x = -6 and y = 0
slope(m) = 5
y = mx + b
0 = 5(-6) + b
0 = -30 + b
30 = b
so ur parallel equation is : y = 5x + 30
The side of a rhombus and the half-diagonals form a right triangle. The length of the other half-diagonal is found from the Pythagorean theorem to be
... d = √((10 cm)² -(6 cm)²) = √(64 cm²) = 8 cm
The length of the other diagonal is 16 cm.
The area is half the product of the diagonal lengths, so is
... area = (1/2)(12 cm)(16 cm) = 96 cm²
Answer:
7/10
Step-by-step explanation:
1/10 + 3/5
1/10 + 6/10
7/10
Answer: q = 40
Step-by-step explanation:
Given the quadratic formula as
x = [-b +/-√(b^2 -4ac)]/2a
b = -14
a = 1
c = q
Difference d between the two roots.
d = [-b + √(b^2 -4ac)]/2a - [-b -√(b^2 -4ac)]/2a
d = 2√(b^2 -4ac)/2a
d = √(b^2 -4ac)/a
And d = 6
Substituting the values of a,b and c. We have;
6 = √[(-14^2) - (4×1×q)]
Square both sides
6^2 = 196 - 4q
4q = 196 - 36
q = 160/4
q = 40
The equation becomes
x^2 - 14x + 40 = 0
At one shop the coat was £24 with the 1/5 off and £30 in the other shop where it was 25% off so therefore the first coat she saw is the cheapest I think
Note: sorry if I’m wrong
