The y is the same for both equations. Equate them
-x - 5 = 2x + 4 Add x to both sides
- 5 = 3x + 4 Subtract 4 from both sides.
- 9 = 3x Divide by 3
x = -9 / 3
x = - 3
y = - x - 5
y = -(-3) - 5
y = - 2
So that point is where the two equations meet.
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y = -x - 5; y = 2x + 4 Note the semi colon in the middle.
To the moderator: This is my own work. I'm using Wolfram to get the answer.
Answer:
a) 4
b) 2
Step-by-step explanation:
a) multiply the coefficients and add the exponents
(4)(1) ·
= 4
b) divide the coefficients and subtract the exponents
(14 ÷ 7) ·
= 2
Answer:
The support is 41 inches long.
Step-by-step explanation:
There's two ways we can do this: one with the diagonal formula and one without.
Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is
. Let's put in those numbers:

Therefore, the support is 41 inches long.
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Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.

Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:

Again, the support is 41 inches long.
Hello!
Rate of income tax = Tax paid / Monthly income
⇒ Rate = 8,000 / 40,000
⇒ Rate = 0.2
⇒ Rate = 20%
∴ The rate of income tax is 20%.
436 hamburgers and cheeseburgers sold Wednesday.
64 fewer cheeseburgers.
436/2= 218
218-64= 154
154 cheeseburgers were sold Wednesday.