Answer:
The value of c is -8
Step-by-step explanation:
Given
Required
The value of c, when written in a general form.
The general form of a quadratic equation is written as ax² + bx + c = 0
To get the general form of , we start by converting the fraction to whole number.
This is done by multiplying both sides of the equation by the denominator of the fraction (4)
Multiply through by 4; This gives us
From the general form of a quadratic equation, ax² + bx + c = 0 , it'll be observed that a is positive and by comparison a = -3 (in )
So, we have to convert -3 to a positive integer by multiplying both sides of the equation by -1. This gives
Writing in a more general form, we have
By comparing ax² + bx + c = 0 to
a = 3
b = 0
c = -8
Hence, the value of c is -8
Answer : The correct option is (A) 68.
Step-by-step explanation :
As we are given that:
LN = 6x - 5
LM = x + 7
MN = 3x + 20
Now we have to determine the value of MN.
According to the question:
LN = LM + MN
Now putting all the given values in this expression, we get:
6x - 5 = (x + 7) + (3x + 20)
6x - 5 = 4x + 27
6x - 4x = 27 + 5
2x = 32
x = 16
The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68
Therefore, the value of MN is 68.
Answer:
C. 120 m²
Step-by-step explanation:
The surface area is equal to the area of 4 rectangles + area of 4 triangles + area of base.
Area of 4 rectangles:
4(5 × 4)
4(20) = 80
Area of 4 triangles:
4(3 × 4 × 1/2)
4(6) = 24
Area of base:
4² = 16
Add the areas.
16 + 24 + 80
= 120
The surface area of the composite solid is 120 m².
Answer: I can’t help. That is a district test, that the score doesn’t impact your grade, it just shows what you need to know.
Step-by-step explanation:
8 = 3 + 1/2x
5 = 1/2x
x = 5/(1/2)
x = 10