To find the equation of a line perpendicular to y = 2x + 13 that contains the point (8, -4), we first determine the slope of the given line, which is 2. Then, we find the negative reciprocal of the slope to get the perpendicular slope, which is -1/2. Using the point-slope form of a line, we substitute the coordinates of the given point and the perpendicular slope to write the equation of the line.
To find the equation of a line perpendicular to y = 2x + 13 in point-slope form, we first need to determine the slope of the given line. The equation y = 2x + 13 is already in slope-intercept form, where the coefficient of x represents the slope. So, in this case, the slope is 2.
Since the line we are looking for is perpendicular to y = 2x + 13, we know that the slopes of the two lines are negative reciprocals of each other. Therefore, the slope of the line we're looking for is -1/2.
Now, we can use the point-slope form of a line, which is y - y1 = m(x - x1), to write the equation of the line. Plugging in the given point (8, -4) and the slope -1/2 into the equation, we get:
y - (-4) = -1/2(x - 8)
Simplifying further,
y + 4 = -1/2x + 4
Finally, simplifying the equation, we get:
y = -1/2x.
#SPJ11
Answer:
or or
Step-by-step explanation:
and
to
divided by
↑
flip the second number
divided by
but instead of divison it becomes multiplication,
×
=
Mixed number form is:
or
Simplify:
Answer:
2 2/9
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
4/3÷3/5
Applying the fractions formula for division,
=4×5
3×3
=20/9
Simplifying 20/9, the answer is
=2 2/9
By understanding the rate at which each oven bakes the bread, we can calculate that it would take the small oven 12 hours to bake the bread for one day.
To solve this problem, we need to first understand the rate at which each oven bakes the bread. When both ovens are working together, it takes 3 hours to bake a day's worth of bread. This means their combined rate of work is 1/3 of the day's bread per hour. However, when only the large oven is used, it takes 4 hours to complete the same amount of work. Therefore, the large oven's rate of work is 1/4 of the day's bread per hour.
Our goal is to find the small oven's rate of work. To do this, we subtract the large oven's rate of work from the combined rate of work. This leaves us with 1/3 - 1/4 = 1/12 of the day's bread per hour. Therefore, it would take the small oven 12 hours to bake the bread for one day on its own.
#SPJ2
The weight that should be written as the mixed number should be
Given that,
Here we need to find out the weight that should be written as the mixed number.
So first we have to understand what is the mixed number i.e. described below.
A mixed number should be the mix of the whole number & the fraction.
So, the weight written as the mixed number should be
Learn more about the number here: brainly.com/question/17429689
What is the simplified product in standard form?
x2 + x +
Answer:
Step-by-step explanation:
We have been given an expression . We are asked to find the simplified product of the given expression in standard form.
Using distributive property , we will get:
Combine like terms:
Therefore, the product of our given expression would be .
Answer:
-3x^2+17x-20
Step-by-step explanation:
-3x^2+12x+5x-20
=-3x^2+17x-20