It's 7:18... Because you have to because 7 subtract 2:12 is 7, and half is 30 min...
Answer:
a)
<u>The equation would be:</u>
b)
Step 1. <u>Subtract 2 from both sides:</u>
Step 2. <u>Divide both sides by 3:</u>
c)
- A single box weights x= 4 units.
The coordinate will be (5, 12). Then the number of balloons that a group of 5 people pops will be 12.
<h3>What is coordinate geometry?</h3>
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Rami works at a carnival dart game where groups of people try to pop balloons taped to a wall by throwing darts.
He records the number of people in each group and the total number of balloons they pop.
This graph represents Rami’s data.
Then the number of the balloons that a group of 5 people pops will be
The coordinate will be given as
⇒ (5, 12)
More about the coordinate geometry link is given below.
brainly.com/question/1601567
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1) gradient of line = Δ y ÷ Δ x
= (5 -2) ÷ (3 - (-6))
= ¹/₃
using the point-slope form (y-y₁) = m(x-x₁)
using (3,5)
(y - 5) = ¹/₃ (x -3)
y - 5 = ¹/₃x - 1
⇒ <span> y = ¹/₃ x + 4 [OPTION D]
</span>2) y = 2x + 5 .... (1)
<span> </span>y = ¹/₂ x + 6 .... (2)
by substituting y in (1) for y in (2)
2x + 5 = ¹/₂ x + 6
³/₂ x = 1
x = ²/₃
by substituting found x (2)
y = ¹/₂ (²/₃) + 6
y = ¹⁹/₃
∴ common point is (²/₃ , ¹⁹/₃) thus answer is FALSE [OPTION B]
3) Yes [OPTION A]
This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.
4) No [OPTION B]
Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other. Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.
That would be
5/4
.
Explanation:
This answer is valid because, when you multiply
4
×
1
, you get
4
. Then add one and keep the denominator, you will get
5
4
.
1
1
4
=
1
×
4
+
1
4
=
5
4
When you simplify
5
4
, you will get
1
1
4
Have a great day!
