Multiply the equation (x-2y=10) by -1
-x+2y=-10
x+3y=5
The x’s cancel out
2y=-10
3y=5
Combine
5y=-5
Divide both sides by 5
y=-1
Plug in y to either original equation
x-2(-1)=10
x+2=10
Subtract 2 from both sides
x=8, y=-1
Answer:
a. 5
Step-by-step explanation:
that is an acute angle which is less than 90*, the only answer choice to give u and acute angle is 5
Answer:
2. x
² + y
²
= 4
3. x² + y² = 23
Step-by-step explanation:
The equation of a circle with center
(
a
,
b
) and radius r is:
(
x
−
a
)²
+ (
y
−
b
)
² = r
²
Explanation:
Here,
a
=
0
, b
=
0
, r
=
2
The equation is:
(
x
-0
)
² + (
y
-0
)
² = (
2 )
²
that is: x
² + y
² = 4
Thus:
x
² + y
²
= 4
3. Each point on a circle has the same distance from the center. This distance is the radius r of the circle.
Here,
(
-3
,
4
) is a point on the circle, meaning that the radius of the circle is the distance between (
0
,
0
)
, the center, and (
-3
,
4
)
.
thus a circle centered on the origin will have an equation of:
x² + y² =r²
And, (
-3
,
4
) lies on the circle, we have:
(-3)² + (4)² = r²
9 + 14 = 23
substituting;
x² + y² = 23
Answer:
Step-by-step explanation:
When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them.
For example -3 and -1.
When we want to find difference we have:
-3-(-1)=-2
But distance can not be negative.
Now, we need to count distance between numbers -3 and -1 on the number line.
So we have from -3 to -2, one place and from -2 to -1 one place it is 2 places.
So distance is 2.
Answer:
75/4=3/100
Step-by-step explanation:
sinple this is on proportion
if you want crisscross the fraction
