Answer:
A) A = 1; B = 0; C = 20
Step-by-step explanation:
The standard form for a quadratic is
Ax^2 +Bx +C=0
We are given
1/4x^2 + 5 = 0
Rewriting
1/4x^2 +0x+ 5 = 0
A = 1/4 B=0 C=5
We can multiply each side by 4
4(1/4x^2 +0x+ 5) = 0*4
x^2 +0x+ 20 = 0
A = 1 B=0 C=20
Answer:
Volume of a cone 
Step-by-step explanation:
Given that the radius of a cone is 15cm and its height is 4cm
That is r=15cm and h=4cm
To find the volume of a cone :
volume of a cone
cubic units
Now substitute the values in the formula we get
volume of a cone
Now round to nearest hundredth
Therefore Volume of a cone
Answer:
D) x = 4, y = -2, z = 3
Step-by-step explanation:
x = 3z − 5
2x + 2z = y + 16
2(3z - 5) + 2z = y + 16
6z - 10 + 2z = y + 16
8z = y + 26 ---> (A)
7x − 5z = 3y + 19
7(3z - 5) - 5z = 3y + 19
21z - 35 - 5z = 3y + 19
16z = 3y + 54 ---> (B)
8z = y + 26
16z = 3y + 54
2(y + 26) = 3y + 54
2y + 52 = 3y + 54
y = -2
8z = -2 + 26
8z = 24
z = 3
x = 3(3) - 5
x = 4
Answer:
Jordan made mistake in his first step while multiplying.
Step-by-step explanation:
Given expression of Jordan's work is
14(8+4x) = 6x-(5-11x)
In the first step, Jordan multiplied the numbers to remove the braces.
He multiplied 14(8+4x) wrong as 14*8 is 112 rather than 126and on the right hand side, he did not change the sign of 11x to positive as two negatives are positive when multiplied.
Hence,
Jordan made mistake in his first step while multiplying.
Answer:
44° and 46°
Step-by-step explanation:
Complementary angles sum to 90° , thus
x + x + 2 = 90
2x + 2 = 90 ( subtract 2 from both sides )
2x = 88 ( divide both sides by 2 )
x = 44
Thus the 2 angles are 44° and 44 + 2 = 46°
