9514 1404 393
Answer:
y = -3x +5
Step-by-step explanation:
The parallel line will have the same slope: m = -3.
The new y-intercept is ...
b = y -mx
y = -1 -(-3)(2) = -1 +6 = 5
Then the equation of the parallel line through (2, -1) is ...
y = -3x +5
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Jacob's yearly income :
2000x + 3000 ; x = number of hours worked per week.
Carlos income :
3800x - 40000
Managers prediction = 35
Jacob.: 2000(35) + 3000 = 73000
Carlos : 3800(35) - 40000 = 93000
Carlos will earn more than Jacob given the manager's prediction.
Number of hours required so they can earn the same amount :
2000x + 3000 = 3800x - 40000
3000 + 40000 = 3800x - 2000x
43000 = 1800x
x = 43000/1800
x = 23.88
x = 24 hours
Opposite angles in a parallelogram are congruent, so 3x+40 = x+50 and x = 5. That means that those 2 angles measure 3(5)+40 = 55, and the other 2 angles, which are congruent to each other, add up with the other to equal 360. 360-55-55=250. Divide that between the other 2 remaining angles to get that those angles each measure 125.
Answer:
Area: 59.5 ft squared
Perimeter: 31.6 feet
Step-by-step explanation:
<u>Area:</u>
For the area of the square, you're going to use the formula length times width. The length and width are both 7, so you'll do 7 times 7, which is 49. Next, you need to find the area of the triangle. It's a bit more confusing since they give you the hypotenuse (7.6 ft), but they did that to try and trick you. The area of a triangle is length times width divided by two. So, you're going to take the width (3) and multiply it by the length (7). The length is 7 because the length of the square and the triangle are the same since the bottom of the triangle is the same length as the top of the square. Anyway, using the formula, you will do 7 times 3 divided by 2, which is 21 divided by 2, which is 10.5. Add the 10.5 to the 49 we got from the square, and you'll get 59.5 feet squared.
<u>Perimeter:</u>
For the perimeter, you just need to add the side lengths. Starting at the top and going to the right, we can add 7.6+7+7. We don't get the left length, but it's the same as the rest of the square (7) because all sides of a square are equal. So, now we have 7.6+7+7+7, which is 28.6, and we just need the last one which is 3, so the final answer is 31.6 feet.
We have such equation
5x-3y=12 /-5x (subtract 5x both sides)
5x-5x-3y=12-5x
-3y=-5x+12 /:3 divide both sides by 3
-y=
/*(-1) multiply both sides by -1
y=-
y=
- its the answer
