Answer:
y=-1/2x+2
Step-by-step explanation:
First, the slope of perpendicular line have negative reciprocal coefficients. In this case the coefficient is 2, The reciprocal of 2 is 1/2 and the negative of 1/2 is -1/2. So x will have a coefficient of -1/2.
Second, find the equation with a slope of -1/2 that passes through (-2,3). There are a few ways to do this. I like to plug the given x value into the expression -1/2x, so -1/2(-2) which equals positive 1 and for the line to pass through the point (-2,3) you need to add 2. So: y=-1/2x+2
Answer:
B) (3, –2)
Explanation:
The inequality is y ≤ –x + 1
There are two ways to do this. You can try the four options by seeing where they lie on the graph, or by inputting them into the inequality and seeing if they check out. I am going to do a bit of both.
I know that the solution cannot have two positive coordinates because the first quadrant is not part of the solution, so I won't guess A or C.
I'll try (3, –2) (which is option B).
On the graph, (3, –2) is on the line, which means it is part of the solution because the line is solid and the inequality is a greater than or equal to sign.
Try it in the inequality:
y ≤ –x + 1
–2 ≤ –3 + 1
–2 ≤ –2 yes this checks out.
Answer:
y=57 degrees and x=66 degrees
Step-by-step explanation:
123+57 =180 so angle y=57 degrees
57+57=114 all triangles = 180 degrees so 180-114=66 degrees=X
Answer: $50
Step-by-step explanation:
30 × 10 = 40 ft² [garden area]
40 ÷ 25 = 1.6
1.6 ≈ 2
For the area of the entire garden, you need to buy two bottles of fertilizer.
25 × 2 = 50 [fertilization cost for the whole garden]
Answer:
the correct answer is 1.47 times 10 to the power of -3
