Answer:
2
Step-by-step explanation:
m^2 + 5m - 4
Let m = -6
( -6) ^2 + 5(-6) -4
Exponents first
36 + 5(-6) -4
Then multiply
36 -30 -4
Then subtract
6 -4
2
Answer:
x = 20
Step-by-step explanation:
The triangle is isosceles ( 2 congruent sides )
Hence the base angles are congruent, thus
3x = 60 ( divide both sides by 3 )
x = 20
The right answer is Option A.
Step-by-step explanation:
Given,
Heart rate goal = I
Heart rate reserve = H
70% of H = 
Resting heart rate = R
According to given statement,
70% of heart rate reserved is added to resting heart rate to calculate heart rate goal, therefore,
I = R + 0.7H
I=R+0.7H represents the given situation.
The right answer is Option A.
Keywords: linear expression, addition
Learn more about addition at:
#LearnwithBrainly
Answer:
12 less than or equal to 2
Step-by-step explanation:
Step-by-step explanation:
The solutions are 2 and 5
Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:
x^2 = 7x - 10
Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.
x^2 + 10 = 7x
Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.
x^2 - 7x + 10 = 0
Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.
(x - 2)(x - 5) = 0
You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.
x - 2 = 0
x = 2
One of the solutions is 2, because you add 2 to x to get 0.
x - 5 = 0
x = 5
The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.
2^2 = 7(2) - 10
4 = 14 - 10
So 2 is definitely a solution.
5^2 = 7(5) - 10
25 = 35 - 10
5 is also a solution.
Hope that helps :]
