Your Results | Global Average | |
---|---|---|
Questions | 5 | 5 |
Correct | 0 | 3.09 |
Score | 0% | 62% |
If b = -8 and x = -8, what is the value of -4b(b - x)?
0 | |
-420 | |
400 | |
330 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-4b(b - x)
-4(-8)(-8 + 8)
-4(-8)(0)
(32)(0)
0
A coordinate grid is composed of which of the following?
y-axis |
|
all of these |
|
origin |
|
x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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equilateral and isosceles |
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isosceles and right |
|
equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Solve for a:
a2 + 14a + 10 = 4a + 1
7 or -3 | |
-1 or -9 | |
2 or -5 | |
7 or -8 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
a2 + 14a + 10 = 4a + 1
a2 + 14a + 10 - 1 = 4a
a2 + 14a - 4a + 9 = 0
a2 + 10a + 9 = 0
Next, factor the quadratic equation:
a2 + 10a + 9 = 0
(a + 1)(a + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a + 9) must equal zero:
If (a + 1) = 0, a must equal -1
If (a + 9) = 0, a must equal -9
So the solution is that a = -1 or -9
Find the value of a:
-7a + y = 6
-5a - 4y = -5
\(\frac{20}{21}\) | |
\(\frac{1}{37}\) | |
-1\(\frac{5}{11}\) | |
-\(\frac{19}{33}\) |
You need to find the value of a so solve the first equation in terms of y:
-7a + y = 6
y = 6 + 7a
then substitute the result (6 - -7a) into the second equation:
-5a - 4(6 + 7a) = -5
-5a + (-4 x 6) + (-4 x 7a) = -5
-5a - 24 - 28a = -5
-5a - 28a = -5 + 24
-33a = 19
a = \( \frac{19}{-33} \)
a = -\(\frac{19}{33}\)