Step-by-step explanation:
Divide two on both sides to get rid of it and the make the equation in the form y = mx + c
y = 3/2x + 5
since both lines are parallel they must have the same gradient which is 3/2
y = 3/2x + c
All you have to do now is to replace x and y with (2, -5) to find c
x = 2
y = -5
-5 = 3/2 × 2 + c
-5 = 3 + c
c = -5-3
c = -8
Answer:
the answer is 35 over 102 or 35/102
Step-by-step explanation:
so first we turn that 1 and 1/5 into 6/5 and then we flip the numbers into 5/6. so now we multiply 7/17 x 5/6 = 35/102. The Number can not be reduced.
Brainliest if you liked the answer.
Answer: The constant of proportionality is 1.5
Step-by-step explanation:
The equation for constant of proportionality is y=KX. the K stands for the constant of proportionality and since the constant proportionality is 1.5 you will take 1.5 * x and for example x is 2 so you do 1.5 * 2 and you get 3 and 3 is your y. If you plug in the equation you're saying 3 equals 1.5 * 2 which is right.
Answer:
Area of the figure = 254.5 cm²
Step-by-step explanation:
<u><em>Area of rectangle = Length × Width</em></u>
<u><em>Area of triangle = 1/2(base × Height)</em></u>
<em>Dividing the figure into parts for convenience</em>
So,
Rectangle 1 (the uppermost):
4 × 6 = 24 cm²
Rectangle 2 (below rectangle 1):
15 × 8 = 120 cm²
Rectangle 3 (with rectangle 2):
11 × 4 = 44 cm²
Triangle 1 :
1/2(7 × 19) = 133/2 = 66.5 cm²
<em>Now adding up all to get the area of the figure:</em>
Area of the figure = 24 + 120 + 44 + 66.5
Area of the figure = 254.5 cm²
