Answer:
we need a figure
Step-by-step explanation:
Answer:
1. D
2. D
3. B
Step-by-step explanation:
1. The y-axis of the graph is the volume of gas in the tank and the x-axis is the distance traveled. So the y-intercept represents how much gas is in the tank before it has been driven anywhere. D
2. Just by inspecting the graph, we can see that the x-intercept is 240. So answers a and c are denitely incorrect. Also, since we know the graph is comparing the distance from the house to time, we can observe that the x-intercept is when the cyclist is at home or 0 miles from their house. So the x-intercept must represent the duration of time it took the cyclist to reach home. D
3. Ok so we know the equation of the line is 3x-8y-12=0, and we're trying to find the x and y intercepts. So we can plug 0 in for x to find the y-intercept. And plug 0 in for y to find the x-intercept.
x-intercept: y=0
3x-8(0)-12=0
3x-12=0
3x=12
x=4
=> (4,0)
y-intercept: x=0
3(0)-8y-12=0
-8y-12=0
-8y=12
y=-3/2
=> (0,-1.5)
So the answer is B
4. We can see that one prize is worth $6, so in theory, if the relation was linear we should be able to say that the cost of the number of prizes you buy is 6 times the number of prizes bought. Since we can see that that is not true, we can determine that the data is non-linear. We can also tell that the data is discrete because you can't buy a partial prize. So the answer is C
I'm sorry I don't have time to finish the rest of the questions!! I hope my other answers are helpful though!
Y=2x-3.
Answer B.
Proof
When y=1 then x=2
y=2x-3
1=2*2-3
1=4-3
1=1
.............
Answer:
The measure of arc SQ is 95° ⇒ (1)
Step-by-step explanation:
- The measure of any circle is 360°
- The measure of the subtended arc to an inscribed angle is twice the measure of this angle
In the given circle
∵ S lies on the circumference of the circle
∴ ∠QSR is an inscribed angle
∵ ∠QSR is subtended by arc QR
→ By using the 2nd rule above
∴ m arc QR = 2 × m∠QSR
∵ m∠QSR = 95°
∴ m arc QR = 2 × 95
∴ m arc QR = 190°
→ By using the 1st rule above
∵ m of the circle = m arc QR + m arc SQ + m arc SR
∵ m arc SR = 75° and m arc QR = 190°
→ Substitute them in the equation above
∴ 360 = 190 + m arc SQ + 75
→ Add the like term in the right side
∴ 360 = 265 + m arc QS
→ Subtract 265 from both sides
∵ 360 - 265 = 265 - 265 + m arc SQ
∴ 95° = m arc SQ
∴ The measure of arc SQ is 95°
Simplify
1
4
(
4
+
x
)
4
1
(4+x) to
4
+
x
4
4
4+x
.
4
+
x
4
=
4
3
4
4+x
=
3
4
2 Simplify
4
+
x
4
4
4+x
to
1
+
x
4
1+
4
x
.
1
+
x
4
=
4
3
1+
4
x
=
3
4
3 Subtract
1
1 from both sides.
x
4
=
4
3
−
1
4
x
=
3
4
−1
4 Simplify
4
3
−
1
3
4
−1 to
1
3
3
1
.
x
4
=
1
3
4
x
=
3
1
5 Multiply both sides by
4
4.
x
=
1
3
×
4
x=
3
1
×4
6 Simplify
1
3
×
4
3
1
×4 to
4
3
3
4
.
x
=
4
3
x=
3
4
