<h2>
Answer:</h2>
First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.
<u>For slope:</u>
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Slope (m) = 7
<u>For y-intercept:</u>
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Y-intercept (b) = 26
Using this information, we can now create the equations for this line.
Formulas:
Slope formula: <em>y₂ - y₁/x₂ - x₁</em>
Slope-intercept form: <em>y = mx + b</em>
Point-slope form: <em>y - y₁ = m(x - x₁)</em>
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*Note: (x₁, y₁), (x₂, y₂) = <em>2 points on the line</em>
Answer:
2x + 4y = 4
-8x + 8y = -16.
Step-by-step explanation:
We can find an equivalent system by multiply the 2 equations by 2.
x + 2y = 2 multiplied by 2 is 2x + 4y = 4.
Compare the enumerators because they have the same denominator. 2 is large than 1 so 2/3 is larger than 1/3
Hope this helps!
Answer:
Angle OCB= 35 degrees and Angle BOC= 119
Step-by-step explanation:
ANGLE OCB= 1/2 C (Construction of bisector)
= 1/2 70
= 35
ANGLE OBC= 1/2 B (Construction of bisector)
= 1/2 52
= 26
Therefore, in triangle BOC,
180 degree= ANGLE OBC+ANGLE BOC+ANGLE OCB
180= 35+26+ANGLE BOC
180= 61+ANGLE BOC
ANGLE BOC= 180-61
ANGLE BOC= 119
Answer:
70 dolls
Step-by-step explanation:
Hello!
The ratio is 5:2, which are division of a whole. They can be represented as 5x and 2x.
Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.
Equation:
Solve:
- 5x - 15 = 2x + 15
- 5x - 30 = 2x
- 5x = 2x + 30
- 3x = 30
- x = 10
So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.
The total sum is 70 dolls.
