Answer:
(5, - 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = - 2 → (1)
3x - y = 19 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
9x - 3y = 57 → (3)
Add (1) and (3) term by term to eliminate y
(2x + 9x) + (3y - 3y) = (- 2 + 57), that is
11x = 55 ( divide both sides by 5 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
2(5) + 3y = - 2
10 + 3y = - 2 ( subtract 10 from both sides )
3y = - 12 ( divide both sides by 3 )
y = - 4
Solution is (5, - 4 )
Answer:
Step-by-step explanation:
The length can be found by setting up a proportion. If the width is reduced by some ratio, then the length will share the same ratio.
3 / 8 = x / 10 Multiply both sides by 10.
3 * 10 / 8 = x Multiply first
30/8 = x Divide next. You don't need to do it in this order.
3 6/8 Simplify
3 3/4 Give another choice
3.75
The length = 3.75 inches
If none of these are correct, please leave a note with your choices.
Answer:
Step-by-step explanation:
<u>Use Pythagorean to identify if the triangle is right:</u>
We see the triangle is <u>not </u>right and the difference of the squares tells us the angle opposite to side with measure of 9 is greater than 90°.
It means the triangle is <u>obtuse</u>.
Correct choice is B
Answer:
Step-by-step explanation:
Im assuming it's asking for the area of the shape.
We need to break the shape into two sections as shown in the picture. First we find the area of the rectangle (9×10)
90cm^2
Now for the triangle section (3×10)÷2
15cm^2
Now add up the two amounts.
105cm^2
