Ok, you can refer to the midpoint formula to find the endpoint. Here goes...
MP=(2,-7) and EP=(8,-5)
Let x represent the missing endpoint.
(8+x)/2=2 NOTE: =2 represents first number of MP and the representation of number 8 is self explanatory. You have two endpoints but need to identify the other endpoint so you divide by 2. Then, multiply by two on both sides.
2(8+x)/2 = 2*2
16+x/2=4 do the next step (simplify) on the left side of equation 16x/2=8
Now, subtract 4-8=-4 So, the x coordinated of the missing endpoint is -4.
The answer is (5x - 4y)(2a + b)
10ax + 5bx - 8ay - 4by = 10ax + 5bx - (8ay + 4by) =<span>
= 5x * 2a + 5x * b - (2a * 4y + b * 4y) =
= 5x(2a + b) - 4y(2a + b) =
= (5x - 4y)(2a + b)</span>
Answer:
The quotient of x and 11.
Step-by-step explanation:
Given:

Required:
Write the expression in words
Solution:
In the expression given, we have the numerator which is the dividend (x), and the denominator which is the divisor (8).
So, we are dividing x into 8 parts.
A quotient is the result you get when you divide the dividend by the divisor.
✅In describing the expression in words, we would use the following phrase:
The quotient of x and 11.
The dividend is mentioned first before the dividend.
Answer:
P(A n B) = 5
Step-by-step explanation:
From the venn diagram given, we can see that;
P(A) = 25
P(B) = 15
P(A n B) = 5
Thus,the correct answer of P(A n B) which is the intersection between A and B is 5
Answer:

Step-by-step explanation:
Given that,
Mass of a sample, m = 12 g
Heat absobed by the sample, Q = 96 J
It was heated from 20°C to 40°C.
We need to find the specific heat of a material. The heat absorbed by a sample is given by :

So, the specific heat of the material is
.