Answer:

Step-by-step explanation:
Q2:
The point-slope form of an equation of a line:

m - slope
The formula of a slope:

We have the points (4, 6) and (6, 10). Substitute:

<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>subteact 2 from both sides</em>

Q4:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

<em>use distributive property</em>
<em>add 6 to both sides</em>

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<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>y</em><em>o</em><em>u</em><em>.</em>
Area=legnth times width or
a=lw
if w=4/5l
and a=320 then subsitute 320 for a dn 4/5l for w
320=4/5l times l
multiply both sides by 5 to clear fraction
1600=4l times l
ad like terms
1600=4l^2
subtract 1600 from both sides
0=4l^2-1600
try and factor because if you have xy=0 then x and/or y=0 so
difference of 2 perfect squares where
if you have a^2-b^2 then that equals(a-b)(a+b) so
0=(2l)^2-(40)^2=(2l-40)(2l+40)
so 2l-40=0
add 40 to both sides
2l=40
divide by 2
l=20
if
2l+40=0
subtract 40 from both sides
2l=-40
divide 2
l=-20
since meausrements of real objects cannot be negative, wediscard this number
l=20 is thhe true legnth s
subsitute
w=4/5l
w=4/5(20)
w=80/5
w=16
legnth=20
width=16
Answer:
hope this helps
Step-by-step explanation:
3+x=x²+3x
Simply the equations.
= x+3=x²+3x
Subtract x²+3x from both sides.
x+3−(x²+3x)=x2+3x−(x²+3x)
−x2−2x+3=0
Factor left side of equation.
(−x+1)(x+3)=0
−x+1=0 or x+3=0
Answer:
x=1 or x=−3
Answer:
21,800
Step-by-step explanation:
I'm assuming you meant 2.18 x 10^4
Since the exponent is positive, you will move the decimal point 4 spaces to the right.