Answer:
-4
Step-by-step explanation:
- 4(m + 6) = - 8
(- 4)(m) + (- 4)(6) = - 8
- 4m - 24 = -8
- 4m = 16
m = - 4
Answer:
x = - 6
Step-by-step explanation:
Let x b number, according to instructions´ we must
1.-Multiply by 4
2.-Subtract 6
3.-Divide by 2
4.-Arturo says his new number - 15
4,.Which one was the original number ??
The maths expression for that is :
(4*x - 6 ) / 2 = - 15
we solve for x
4x - 6 = - 30
4x = - 24
x = - 6
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.
First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:
y-y=m(x-x)
The first y is 8 and the second one is 2
The first x is 5 and the second one is 9
Plug it in:
8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2
*NOTE: another way to find m is by calculating it (y-y)/(x-x)
Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b
y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)
8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.
Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.
m=-3/2
b=31/2
We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)
SO OUR EQUATION IS=
y=(-3/2)x+31/2
Hope you understand this, feel free to ask me anything!
Answer:
a = 16
w = 125
x = 120
y = 55
Step-by-step explanation:
<u>FINDING 'a'</u>
31 = a + 46 / 2
62 = a + 46
16 = a
<u>FINDING 'w'</u>
* This section looks Non-Isosceles trapezoid so I will be following the rule according it
w + 55 = 180
w = 125
<u>FINDING 'y'</u>
y = 55
- Because of corresponding angles
<u>FINDING 'x'</u>
* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.
x + 60 = 180
x = 120
Hope this helped ^^
(Please inform me of any mistakes or misunderstandings!)
2.5 weighs more. It’s a greater number than 2.48
