Answer:
x=1
y=2
Explanation:
first start with assigning a random value to a variable
lets say x=1
from there the equation becomes solveable
-6x1+7y=8
simplify
-6+7y=8
+6 to both sides
7y=14
divide both sides by 7
y=2
from here we can say that x=1, y=2, can satisfy the equation-6x+7y=8
hope this helps :)
Answer:
False
Step-by-step explanation:
Lines that intersect at right angles are called parallel. False
They are called intersecting lines.
For the first question, the total is 240 so that goes in front of the equals sign. he has already worked 97 hours, so the expression on the right begins with 97 and adds the unknown number of hours, <em>h</em>, to it:
240 = 97 + <em /><em>h</em>
For the second question, there is no graph so I cannot answer it.
3rd question: no image, can't answer.
4th question:
Use a factor tree:
240
/ \
10*24
/\ /\
5*2 *8*3
/ / /\ \
5 * 2 *4*2 *3
/ / /\ \ \
5 * 2 *2*2 * 2 * 3
Starting with the smallest factor and using exponents we have
9514 1404 393
Answer:
20 miles
Step-by-step explanation:
The north and east distances form the legs of a right triangle. The straight-line distance between the trains is the hypotenuse of that triangle. The Pythagorean theorem can be used to find the length of the hypotenuse (d).
d² = 12² +16²
d² = 144 +256 = 400
d = √400 = 20
The two trains are 20 miles apart.
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<em>Additional comment</em>
You may recognize the given distances are in the ratio 3 : 4. You may recall that side ratios of 3 : 4 : 5 make a right triangle. If so, you recognize that the straight-line distance is (4 miles)×5 = 20 miles. (3:4:5 right triangles show up often in algebra and geometry problems, so might be something you want to look for.)