Answer:
Here's link to the answer:
bittuly/3a8Nt8
Step-by-step explanation:
• Move x to the other side
7y=21-3x
• Divide by 7
y = (21-3x)/7
Answer:
1.5
Step-by-step explanation:
y=2x - 3
0 = 2x - 3
-2x = - 3 /÷(-2)
x = 3 ÷ 2
x = 1.5 3/2
Answer:
x = 37 mm
Step-by-step explanation:
Since they are both right triangles, you can use Pythagorean Theorem to solve this.
Step 1: Start with the small triangle and solve for the missing leg.
5² + L² = 13² (plug in the given sides)
25 + L² = 169 ( simplify, 5² = 25, 13² = 169)
L² = 144 ( subtract 25 from both sides to isolate L²)
L = 12 (take the square root of both sides)
So the missing leg on both triangles is 12.
Step 2: We can now solve for x
12² + 35² = x² (plug in the given sides)
144 + 1,225 = x² ( simplify, 12² = 144, 35² = 1,225)
1,369 = x² (simplify, 144 + 1,225 = 1,369)
37 = x (take the square root of both sides)
Let the numbers be x and y. Then xy = -30 and x+y = -3.
Solve xy = -30 for y: y = -30/x
subst. -30/x for y in x+y= -3: x - 30/x = -3
Multiply all 3 terms by x: x^2 - 30 = -3x, so x^2 + 3x - 10 = 0
Solve this quadratic equation for x. x: {-5, 2}
If x = -5, then x+y = -3 becomes -5 + y = -3, and y = 2.
You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?