2 weeks are 14 days so
42÷14= 3
Answer:
m = 3/2
b = 0
y = 3/2x
Step-by-step explanation:
M is the slope, which is the rise/run of a line.
Using this, we know m is 3/2.
B is the y-intercept, which is where the line crosses the y-axis. In this case, B equals 0.
We use this information to put together our final equation of y= 3/2x (since B equals 0, there is no + or - after the slope)
Solve the following using Substitution method
2x – 5y = -13
3x + 4y = 15
- To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
- Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.
- Add 5y to both sides of the equation.
- Multiply
times 5y - 13.
- Substitute
for x in the other equation, 3x + 4y = 15.
- Multiply 3 times .
- Add
to 4y.
- Add
to both sides of the equation.
- Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.
- Substitute 3 for y in
. Because the resulting equation contains only one variable, you can solve for x directly.
- Add
to 
by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.
- The system is now solved. The value of x & y will be 1 & 3 respectively.
Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is <u>√161 yd</u>
Hope this helps! :)
Answer:x-2+10=12
We move all terms to the left:
x-2+10-(12)=0
We add all the numbers together, and all the variables
x-4=0
We move all terms containing x to the left, all other terms to the right
x=4
Step-by-step explanation:
