X + 3 • ( 10 + y ) - 7x - 4
x + 30 + 3y - 7x - y
x - 7x + 3y - y + 30
-6x + 2y + 30
Answer:
61,62
Step-by-step explanation:
Let the smallest number be x
Hence, the biggest number = x+1 [as it consecutive]
Hence,
7(x+1)+x=495
7x+7+x+495
8x=495-7
8x=488
x=61
Hence, smaller number=61, bigger number=62
We want to find the axis of symmetry of the function;

STEP 1:
The equation for the axis of symmetry of a line is given as;

From the equation, a = 6 and b = -3, so,
STEP 2: Insert the values of a and b into the equation to obtain;

CONCLUSION:
Therefore, we see that the axis of symmetry is the line;
Answer:
y = 2x - 4
Step-by-step explanation:
Rearrange the given equation to slope-intercept form.
x + 2y = 2
2y = -x + 2
y = -1/2x + 1
The slope of the given line is -1/2. The slope of a perpendicular line will be the negative inverse, meaning that the slope will be 2.
-1/2 = 2
Find the equation of the new line with the point-slope form using the new slope and given point.
y - y₁ = m(x - x₁)
y - 6 = 2(x - 5)
y - 6 = 2x - 10
y = 2x - 4
The equation will be y = 2x - 4.
The volume of a rectangular prism is its length times width times height, or algebraically,

. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute

into the formula for volume. You get

, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get

. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule

, if n is non-negative. The opposite applies so that

. For your final answer, you write

. This corresponds to
answer choice B.