Answer:
The new coordinates are (-11, -35)
Step-by-step explanation:
When reflecting across the x-axis, you are just the Y. value. It is the opposite due to the fact that if you're moving something across the horizontal x-axis, it's actually the vertical height changing. So, you just inverse the Y value to its' negative or positive reciprocal.
Answer:
B
Step-by-step explanation:
The value of the polynomial for x = 3 is the value of P(3)
P(3) = 2(3)³ - 7(3)² + 7(3) - 12 = 54 - 63 + 21 - 12 = 0 → B
Answer:
B) no solution
Step-by-step explanation:
this can be solved by substitution method
y= ⅔x + 4. (equation 1)
and 2x-3y= 3. (equation 2)
substitute for y into equation 2
2x-3(2/3x + 4) = 3
2x - 2x -12=3
0=15
this is a no solution equation
Answer:
-2
Step-by-step explanation:
Step 1. Copy the given expression.
(a + y)^2 + 2y =
Step 2. Replace each variable by the value given.
We are given a = 5; y = -3.
= (5 + (-3))^2 + 2(-3)
Evaluate the expression using the correct order of operations.
= (2)^2 - 6
= 4 - 6
= -2
Answer:
c = 42.5
Step-by-step explanation:
The legs of the triangle are a and b and the hypotenuse is c
Let a be the shorter leg
The hypotenuse is 5 more than the longest leg
c = b+5
The shortest leg is 20
a = 20
We can use the Pythagorean theorem
a^2 +b^2 = c^2
Substituting in what we know from above
20 ^2 + b^2 = (b+5)^2
FOIL (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25
400 + b^2 = b^2+10b+25
Subtract b^2 from both sides
400+b&2-b^2 = b^2 -b^2 +10b+25
400 = 10b+25
Subtract 25 from both sides
400-25 = 10b+25-25
375 = 10b
Divide by 10
375/10 = 10b/10
37.5 = b
But we want to find c
c=b+5
c = 37.5+5
c = 42.5
