Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is equal to 0)
<u>1) Determine the slope (m)</u>
where two points that the line passes through are 
and 
We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.
Plug these points into the equation
Therefore, the slope of the line is 3. Plug this into
<u>2) Determine the y-intercept (b)</u>
The y-intercept is given; it is 4. Plug this back into
I hope this helps!
Answer:
208 history books
124 chemistry books
Step-by-step explanation:
Let a = total number of books
b = number of history books
c = number of chemistry books
a = b + c
We know that a is equal to 332 and c = b - 84
Let's substitute this value to our equation and solve for b first. Now we get:
332 = b + ( b - 84)
332 = 2b - 84
332 + 84 = 2b
416 = 2b
b = 208
Now we can solve for c
332 = 208 + c
332 - 208 = c
c = 124
Now let's check
a = 332
b = 208
c = b - 84 = 208 - 84 = 124
Answer:
c=1 and c=3
Step-by-step explanation:
If x>0 and y>0, then
\sqrt{\dfrac{50x^6y^3}{9x^8}}=\sqrt{\dfrac{25\cdot 2y^2\cdot y}{9x^2}}=\dfrac{5y\sqrt{2y}}{3x}.
9x
8
50x
6
y
3
=
9x
2
25⋅2y
2
⋅y
=
3x
5y
2y
.
If
\dfrac{5y\sqrt{2y}}{3x}
3x
5y
2y
is equal to
\dfrac{5y^c\sqrt{2y}}{dx},
dx
5y
c
2y
,
then
\begin{gathered}y=y^c\Rightarrow c=1,\\ \\3x=dx\Rightarrow d=3.\end{gathered}
y=y
c
⇒c=1,
3x=dx⇒d=3.
The first equation is:
d = 2.5 t + 2.2
For the parallel line :
m = 2.5.
It is passing through: t = 0, d = 1
d = m t + b
1 = 2.5 * 0 + b
b = 1
Answer:
A ) d = 2.5 t + 1
Answer(s):
A: 5x3•5x3
B: 7ab
C: 1m2n2
I Hope I Helped! Brainliest If You Will :)
