Hello, do you know that for any a, b and c real numbers with c different from 0 the following is correct?
Then,
So,
Thank you.
Answer:
He drew a scalene triangle
Step-by-step explanation:
A scalene triangle is where all side measure and all angle measure are different.
Answer:
m = 3, n = 4
Step-by-step explanation:
Solve using the substitution process. First, start with the second equation:
2m + 2n = 14
Simplify. Divide 2 from all terms within the equation. What you do to one side, you do to the other:
(2m + 2n)/2 = (14)/2
m + n = 7
Isolate the variable m. Subtract n from both sides:
m + n (-n) = 7 (-n)
m = 7 - n
Plug in 7 - n for m in the first equation:
-5m + 9n = 21
-5(7 - n) + 9n = 21
Solve. First, distribute -5 to all terms within the parenthesis:
(-35 + 5n) + 9n = 21
Simplify. Combine like terms:
-35 + (5n + 9n) = 21
-35 + 14n = 21
Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 35 to both sides:
14n - 35 (+35) = 21 (+35)
14n = 21 + 35
14n = 56
Isolate the variable n. Divide 14 from both sides:
(14n)/14 = (56)/14
n = 56/14
n = 4
Plug in 4 to n in one of the equations, and solve for m.
2m + 2n = 14
2m + 2(4) = 14
2m + 8 = 14
Isolate the variable, m. Do the opposite of PEMDAS. First, subtract 8 from both sides:
2m + 8 (-8) = 14 (-8)
2m = 14 - 8
2m = 6
Divide 2 from both sides:
(2m)/2 = (6)/2
m = 6/2
m = 3
Your answers: m = 3, n = 4
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<span>1. For the data in the table, does y vary directly with X? If it does write an equation for the direct variation.(X,y) (8,11) (16,22) (24,33)
</span><span>
Yes y=1.375x
</span><span>2.for the data in the table, does y vary directly with X? If it does write an equation for the direct variation. (X,y) (16,4) (32,16) (48,36)
</span>No y does not very directly with x*** <span>
</span><span>3. (Time/hour,distance/miles)(4,233) (6,348) (8,464) (10, 580)
Express the relationship between distance and time in a simplified form as a unit rate. Determine which statement correctly interprets this relationship.
</span><span>58/1 your car travels 58 miles in 1 hour
</span><span>4.what is the slope of the line that passes through the pair of points (2,5) and (8,3)
</span>-1/3
<span>4.what is the slope of the line that passes through the pair of points (-5.2,8.7) and (-3.2,2.7)
</span>
-3
<span>5. What is the slope of the line that passes through the pair of points (3/2,-2) and (-3,7/3)
-26/27
</span><span>6.write an equation in point slope from for the line through the given point with the given slope (5,2) m=3
Y-2=3(X-5)
7. Write an equation in point slope form for the line through the given point with the given slope (-3,-5) m=-2/5
Y+5=-2/5(X+3)
</span><span>8. Write an equation in point slope from for the line through the given point with the given slope. (4,-7) m=-0.54
Y+7=-0.54(x-4)
9. The table shows the height of a plant as it grows. Which equation in point slope from gives the plants height (time,plant height) (2,16)(4,32)(6,48)(8,64)
Y-16=8(X-2)***
</span>
<span>10. Write y=-2/3x+7 in standard form
2x+3y=21
11. Write y=-1/2x+1 in standard form using integers
X+2y=2
</span>
