For every c substitute 4 and for every d substitute -2
c=4
d=-2
6c + 5d - 4c - 3d + 3c - 6d
= 6(4)+ 5(-2)- 4(4)- 3(-2)+ 3(4)- 6(-2)
=24+(-10)-16-(-6)+12-(-12)
=24-10-16+6+12+12
=28
Answer: 6.4 miles/hour
Step-by-step explanation:
Speed = distance/time
19.2/3 = 6.4
Hope this helps!
For #3, you just have to plug in the numbers for x.
It tells you what to substitute for x in the question. (x = 0, 1, 2, 3, 4, 5, and 6)
For example, let's substitute 0 for x.
6x - x² (the 2 means square the number, or multiply it by itself)
6(0) - (0)²
0 - 0
= 0.
You'll do that to all the numbers (1-6) and fill out the table.
For #4, you have to solve using the distributive property to find out if the equations on both sides are equal.
I'll do the first one for you.
6a - 8 = 2 (3a - 5)
6a - 8 = 6a - 10
They're not equal.
The equation of the line that passes through (2, -1) and is parallel to a line that has a slope of 3/4 is: 3x - 4y = 10.
<h3>What is the Equation of a Line in Standard Form?</h3>
The equation of a line can be expressed as, Ax + By = C, which is in standard form.
Given:
- A point (a, b) = (2, -1)
- Slope (m) = 3/4.
Plug the values into the point-slope form, y - b = m(x - a):
y - (-1) = 3/4(x - 2)
y + 1 = 3/4(x - 2)
4(y + 1) = 3(x - 2)
4y + 4 = 3x - 6
4 = 3x - 6 - 4y
4 + 6 = 3x - 4y
10 = 3x - 4y
3x - 4y = 10
The equation in standard form is: 3x - 4y = 10.
Learn more about the equation of a line in standard form on:
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Answer:
x = 120
Step-by-step explanation:
First you want to get the equation into the form cosx = a
2 cos=1
Divide both sides by two to get it into the form.
cos=
Now, on your calculator, use the inverse of cos, to solve for .
= ( )
= 60
Now you want to find x, so multiply both sides by 2.
x = 60 * 2 = 120
x can have many solutions; however, I have only given you one.