Answer:
The equal amount is 525
.
Step-by-step explanation:
Given that,
Eric and his two sister shared amount of money in ratio2:7 respectively.
Amount with Eric = 300
It means,
2x = 300
x = 150
So,
7x = 7(150)
= 1050
As the remaining amount shared equally among the sister. So, the equal amount is 525
.
Answer:
Algebra
Topics
How do you find the intercepts of x2y−x2+4y=0?
Algebra Graphs of Linear Equations and Functions Intercepts by Substitution
2 Answers
Gió
Mar 24, 2015
For the intercepts you set alternately x=0 and y=0 in your function:
and graphically:
Answer link
Alan P.
Mar 24, 2015
On the X-axis y=0
So
x2y−x2+4y=0
becomes
x2(0)−x2+4(0)=0
→−x2=0
→x=0
On the Y-axis x=0
and the original equation
x2y−x2+4y=0
becomes
(0)2y−(0)2+4y=0
→y=0
The only intercept for the given equation occurs at (0,0)
Answer link
Related questions
What is the x and y Intercepts?
How many intercepts can a line have?
How do you use substitution to find intercepts?
How do you identify the intercepts on a linear graph?
How do you use the x and y intercepts to graph a linear equation?
How do you find the x and y intercept for y=2x+3?
How do you find the x intercept for y=2?
What is the y intercept for the y=2 graph?
What is the y intercept for x=−1?
How do you find the x-intercept of the line
The answer:
x = 1
Explanation:
If the line is parallel to the y-axis it has no slope, so you would only write down the x-intercept.
Problem 10
You are correct. You divide 360 over the exterior angle measure to get 360/72 = 5
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Problem 11
x = 33 is correct as this angle is an alternate interior angle pair with the 33 degree angle up top
y = 38 is correct since y+33+109 = 180 solves to y = 38. In other words: 38+33+109 = 180
z = 109 is correct. The opposite angles of a parallelogram are congruent
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
