Answer:
Hello!
First you will want to get both of equations into slope-intercept form. That way, you can easily determine the y-intercept of the first equation and the slope of the second equation.
When 2 lines have the same slope, that means they will be parallel.
y+4x-10=0 ; add 10 to each side
y+4x=10 ; subtract 4x from each side
y = -4x + 10 ; y-intercept = 10
1x + 7y = 6 ; subtract 1x from each side
7y = -1x + 6 ; divide both sides by 7
y = -1/7 x + 6/7 ; slope = -1/7
So, a line with the same y-intercept as the first, and same slope (parallel) as the second would have the equation:
y = -1/7x + 10
Step-by-step explanation:
Dixon is 6 feet tall, Ariadne is 4 feet tall by proportion.
What in mathematics is a proportion?
- A proportion is an equation that sets two ratios at the same value.
- For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)
We can use the proportion.
We already know that Dixon is 6 ft tall and that his shadow is 9 ft long.
Also we know that the shadow of his sister is 6 ft long.
6 : x = 9 : 6, or 6 / x = 9 / 6.
After that we will cross multiply : 9 * x = 6 * 6,
9 x = 36 ,
x = 36 /9,
x = 4.
Ariadne is 4 feet tall.
Learn more about proportion
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The complete question is -
Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Dixon's shadow is 9 feet long and Ariadne's shadow is 6 feet long. If Dixon is 6 feet tall, how tall is Ariadne?
Find the square numbers and see which ones 54 lies between
1, 4, 9, 16, 25, 36, 49, 64.
It lies between the two square numbers 49 and 64.
But you want the square root.
So find the square root of 49 and 64.
7 and 8.
So the square root of 54 is between 7 and 8.
Hope this helps.
Given statement is "What is the intersection of the given lines AE and DE?".
That gives us information that there are two lines named AE and DE which intersect each other. Now we have to find their intersection point.
If you see carefully the name of both lines AE and DE then you will find that; they have common letter "E" in their name.
That means point "E" lies on both lines.
We know that intersection point always lies on both lines.
Which proves that point "E" is the intersection point.
Hence choice "<u>B. Point E" </u>is the final answer.
Total pay before deductions is gross pay <==
total pay after deductions is net pay
