Answer:
D
Step-by-step explanation:
2x + 5y = - 10 Subtract 2x from both sides
5y = -2x - 10 Divide by 5
y = -2x/5 - 10/5
y = 0.4x - 2
The slope is minus so the line is going from lower right to upper left as B and D are doing.
The y intercept is - 2. B goes through + 2 so it is not the answer.
The answer is D
Answer: (B) - 43°
Explanation: Using the sine rule, we can say that sinA/BC = sinC/AB
sin(61)/45 = sin(C)/35
sin(C) = 35sin(61)/45
sin(C) ≈ 0.680259772....
C = arcsin(0.680259772...)
C = 42.8639459...
C ≈ 43°
<h3>
<u>Explanation</u></h3>
We have the given slope value and the coordinate point that the graph passes through.

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>

The value of b is 6. We substitute the value of b in the equation.

We can also use the Point-Slope form to solve the question.

Given the y1 and x1 = the coordinate point value.
Substitute the slope and coordinate point value in the point slope form.

<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>

<h3>
<u>Answer</u></h3>
<u>
</u>
Answer:
64
Step-by-step explanation:
First, you divide 416 by 65. This gets you 6.4. But it's not 1 in 65 eating pizza, it's 10 out of 65, so then you multiply 6.4 by 10, getting 64.
<h3>
Answer: Choice A</h3>
- Domain: x > 4
- Range: y > 0
========================================================
Explanation:
We want to avoid having a negative number under the square root. Solving
leads to 
So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.
So in reality, the domain is x > 4.
-------------
The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.
We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression
is positive because positive/positive = positive.
Therefore, the range of the given equation is y > 0
-------------
The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).