Answer:
(-6, 18)
Step-by-step explanation:
The slope-intercept form is written under the form of
y=mx+b where m represent the slope and y represent y-intercept. In this case, we know that the m is 8, but we don't have b yet. To find the answer, substitute (0,5) into an equation where y=5 and x=0
y=mx+b
y=8x+b
5=8(0)+b
5=b, so we have the complete y-intercept form which is y=8x+b
Or
You can you this
y-y1=m(x-x1) where point (x1,y1) represent point (0,5) in this case which led to:
y-y1=m(x-x1)
y-5=8(x-0)
y-5=8x-8(0)
y-5=8x
Add 5 to each side
y-5+5=8x+5
y=8x+5 represent the slope-intercept form. Hope it help!
Answer:
50 days
Step-by-step explanation:
2500/50 = 50
Answer: 50 days
Step-by-step explanation:
The equation of a circle can be the expanded form of
\large \text{$(x-a)^2+(y-b)^2=r^2$}(x−a)
2
+(y−b)
2
=r
2
where rr is the radius of the circle, (a,\ b)(a, b) is the center of the circle, and (x,\ y)(x, y) is a point on the circle.
Here, the equation of the circle is,
\begin{gathered}\begin{aligned}&x^2+y^2+10x-4y-20&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4-49&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &x^2+10x+25+y^2-4y+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &(x+5)^2+(y-2)^2&=&\ \ 7^2\end{aligned}\end{gathered}
⟹
⟹
⟹
⟹
x
2
+y
2
+10x−4y−20
x
2
+y
2
+10x−4y+25+4−49
x
2
+y
2
+10x−4y+25+4
x
2
+10x+25+y
2
−4y+4
(x+5)
2
+(y−2)
2
=
=
=
=
=
0
0
49
49
7
2
From this, we get two things:
\begin{gathered}\begin{aligned}1.&\ \ \textsf{Center of the circle is $(-5,\ 2)$.}\\ \\ 2.&\ \ \textsf{Radius of the circle is $\bold{7}$ units. }\end{aligned}\end{gathered}
1.
2.
Center of the circle is (−5, 2).
Radius of the circle is 7 units.
Hence the radius is 7 units.
Answer:
7-16x=10. I'm sorry I'm not good at math but it never hurts try, right?
Step-by-step explanation:
Multiply the parentheses first which would give you
8-6x+10x-15.
Next add 6x+10x which would give you
8-16x-15.
Then subtract 8-15 which would give you
7-16x=20-5x2. Then work the problem from there.
7-16x=20-10.
7-16x=10.
