"3x + 2y = –11 written in slope-intercept form is y = x." Not so.
To find the slope of this line, solve for y:
2y = -3x - 11 => y = (-3/2)x - 11/2. The slope of the given line is -3/2. The
graph of the new (perpendicular) line will then be the negative reciprocal of -3/2, or +2/3.
Now use the point-slope formula for the equation of a straight line to determine the equation of this new (perpendicular) line thru (-6,5):
y-5 = (2/3)(x+6) (answer)
To find the equation of a line perpendicular to a given line, we need to find the negative reciprocal of the slope of the given line. Using the point-slope form, we can substitute the point and the new slope to get the equation of the perpendicular line.
Explanation:1. To write the given equation in slope-intercept form, we need to solve for y. Rearranging the equation, we have 2y = -3x - 11, y = (-3/2)x - 11/2. Therefore, the slope of the given line is -3/2.
2. The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line. So, the slope of the perpendicular line is 2/3.
3. Using the point-slope form, we substitute the point (-6, 5) and the new slope (2/3) into the equation y - y1 = m(x - x1), where x1 and y1 are the coordinates of the given point. Plugging in the values, we get y - 5 = (2/3)(x + 6).
4. Simplifying the equation, we can distribute 2/3 to x and 6, which gives us y - 5 = (2/3)x + 4. Adding 5 to both sides, the final equation of the line passing through (-6, 5) and perpendicular to 3x + 2y = -11 is y = (2/3)x + 9.
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which of these skills do you think you could teach someone else select all that apply
A. finding the square and roots of numbers
B. identifying rational and irrational numbers
C. comparing values of rational and irrational numbers
D. evaluating perfect squares and cubes
E. using roots to represent solutions to equations
Answer:
Every answer is correct lol
PLEASE HELPPPPP
The expression 60(1+x) represents the total bill including the tip. What do the different parts of the expression represent? Match each expression to the correct description.
1) Cost of meal __
2) Tip percentage __
3) Number of friends __
a) x
b) (1+x)
c) 60
Answer:
1) Option c
2) Option b
3) Option a
Step-by-step explanation:
Given : The expression 60(1+x) represents the total bill including the tip.
To find : What do the different parts of the expression represent?
Match each expression to the correct description.
1) Cost of meal __
2) Tip percentage __
3) Number of friends __
Solution :
The expression represents the total bill including the tip is 60(1+x).
When we see the expression,
The cost of the mean is always fixed.
So, Cost of the meal is 60.
Number of friends is unknown.
So, Number of friends is 'x'.
The tip percentage is given by '1+x'.
Which of the following is a reasonable estimated answer to the following problem?
989,867 ÷ 999
How much would $200 invested at 7% interest compounded annually be worth after 5 years? Round your answer to the nearest cent.
Answer:
280.51
Step-by-step explanation:
A ferry traveled 1/6 of the distance between two ports in 3/7 hour. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour?
Which story problem could be solved using the given equation? 1/5×2/3=m
Lucas needs a wooden strip that is 2/3 yards long for his boat model. He plans to cut the strip into pieces that are each 1/5 yards long. How many pieces can be cut from the 2/3 yard long strip?
Jasmine bought some tiles to put around her patio. Each tile has a length of 2/3 foot and a width of 1/5 foot. What is the area, in square feet, of each tile?
Lucas’s kitten is 23 foot tall. Jake’s kitten is 1/5 foot taller than Lucas’s kitten. How tall is Jake’s kitten?
Karen measured 2/3 cup of milk for a recipe. She then added another 1/5 cup of the milk to the recipe. How much milk did Karen use in the recipe?
The story problem that can be solved using the given equation is about finding the area of a tile with given dimensions.
Explanation:The story problem that can be solved using the given equation 1/5×2/3=m is Jasmine bought some tiles to put around her patio. Each tile has a length of 2/3 foot and a width of 1/5 foot. What is the area, in square feet, of each tile?
To find the area of the tile, we can multiply the length and width of the tile. Plugging in the values from the equation, we have (2/3) * (1/5) = 2/15. Therefore, each tile has an area of 2/15 square feet.
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What is the GCF of 32a and 48b??
Two numbers have a distance of 5 units from 0 on a number line. The numbers can be graphed on the number line as points A and B.
Drag and drop the labels to the correct positions on the number line.
Answer:
Point A is labeled at x=-5 and point B is labeled at x=5.
Step-by-step explanation:
It is given that two numbers have a distance of 5 units from 0 on a number line.
Let the unknown number be x.
Case 1: x is 5 units less than 0.
[tex]x=0-5[/tex]
[tex]x=-5[/tex]
The point A is labeled at x=-5.
Case 2: x is 5 units more than 0.
[tex]x=0+5[/tex]
[tex]x=5[/tex]
The point B is labeled at x=5.
The sequence that begins with 3, where each succeeding term is twice the preceding term
if 234 players are separated into 18 equal teams,how many players will be on each team?
What is eight worth in 8.517
im giving 50 points
Solve the equation.
-4(3 - 2x) + 2x = 2x - 8
A) x = 2
B) x = -1
C) x =
1
2
D) x =
1
3
Marcia buys a dress that is on sale for 15% off it's original price. She uses a store coupon to obtain an additional 10% off the sale price. Marcia pays $91.80 for the dress. What was the original price of the dress?
Answer:
120$
Step-by-step explanation:
We must calculate the prices with the application of discounts successively
The last discount he got was 10%, so $ 91.80 equals 90% of the price
We calculate the price before this discount by applying with a simple rule of three
[tex]90 \% \longrightarrow 91.80\\100\% \longrightarrow x\\x=\frac{(100)(91.80)}{90}\\ x= 102\$[/tex]
She pays $ 102 with a 15% discount, so this value equals 85% of the original price
We calculate the price before this discount by applying with a simple rule of three
[tex]85\% \longrightarrow 102\\100\% \longrightarrow x\\x=\frac{(100)(102)}{85}\\ x= 120\$[/tex]
Which distributive property represents the area of the rectangle?
(3 x 3) + (3 x 4)
(3 x 3) + (3 x 9)
(9 x 3) + (6 x 9)
(3 x 3) + (3 x 6)
Which graph represents the equation y=13x−4 ?
Answer: The correct option is graph (A).
Step-by-step explanation: We are given to select the graph that represents the following linear equation :
[tex]y=\dfrac{1}{3}x-4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Comparing with the slope-intercept form y = mx + c of a straight line, we see that
the slope of the line (i) is [tex]m=\dfrac{1}{3},[/tex] and y-intercept, c = -4.
Also, we know that the slope of a line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Graph (A) :
The points (0, -4) and (3, -3) lies on the line. So, its slope will be
[tex]m=\dfrac{-3-(-4)}{3-0}=\dfrac{1}{3},[/tex]
the point where the line crosses the y-axis is (0, -4).
That is, y-intercept, c = -4.
Since the slope and y-intercept of graph (A) is same as that of line (i), so this option is CORRECT.
Graph (B) :
The points (0, -2) and (3, -3) lies on the line. So, its slope will be
[tex]m=\dfrac{-3-(-2)}{3-0}=-\dfrac{1}{3},[/tex]
Since the slope of graph (B) is not same as that of line (i), so this option is NOT CORRECT.
Graph (C) :
The points (0, -4) and (-3, 3) lies on the line. So, its slope will be
[tex]m=\dfrac{3-(-4)}{-3-0}=-\dfrac{7}{3},[/tex]
Since the slope of graph (C) is not same as that of line (i), so this option is NOT CORRECT.
Graph (D) :
The points (-4, 0) and (-3, 3) lies on the line. So, its slope will be
[tex]m=\dfrac{3-0}{-3-(-4)}=\dfrac{3}{1}=3,[/tex]
Since the slope of graph (B) is not same as that of line (i), so this option is NOT CORRECT.
Thus, graph (A) is the correct option.
Will give brainliest!!! :)
Thank you
Sofia is learning to knit. After her first three stitches, she had to undo the last two. Then she made three more stitches and again, had to undo the last two. If this pattern continues, how many stitches will Sofia have to make before she has six good stitches?
Help please!
-4x - 11
What is the answer is x = -15
A. -71
B. -49
C. 49
D. 71
Choose the symbol that completes the statement.
6/8 ____ 8/10
A: <
B: >
C: =
A pianist plans to play 6 pieces at a recital from her repertoire of 26 pieces. How many different recital programs are possible?
The number of different recital programs that are possible is 230230 programs
What is combination?Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.
Combination formula:
ⁿCr = n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time
The information will be illustrated as:
= 26! / (26 - 6)! 6!
= 26! / 20!6!
= 230230
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Sean spelled 13 out of 20 words correctly on his srelling test. Write his test score as a percent.
The manager of a plant nursery bought 120 lb of soil to use for potting plants. The manager can put 5 lb into each of the small pots and 12 lb into each of the large pots. The manager made a sketch to show the line representing the different combinations of pots that can be used. The x-axis represented the number of small pots and the y-axis represented the number of large pots. The manager labeled only the intercepts.
Which points did the manager label?
1. (0, 12) and (5, 0)
2. (0, 10) and (24, 0)
3. (0, 24) and (10, 0)
4. (0, 5) and (12, 0)
The points that were labelled by the manager on the graph are (0, 10) and (24, 0). These points are found by dividing the total amount of soil by the amount of soil required by each type of pot.
Explanation:In this Mathematics problem, we need to determine which points were labelled on the graph created by the nursery manager representing combinations of small and large pots. We can find these points, the intercepts, by understanding that these occur when one variable is zero. The x-intercepts happen when all soil is used for large pots (i.e., the y-axis, or number of small pots, is zero), and the y-intercepts occur when all the soil is used for small pots (i.e., the x-axis, or number of large pots, is zero). For the x-intercept, if each large pot requires 12lb of soil, then the manager could fill 120/12 = 10 large pots if no soil is used for small pots. Therefore, the x-intercept is (0, 10). Similarly, the y-intercept would be obtained by dividing the total amount of soil with the amount used for a small pot. That gives us 120/5 = 24. Hence, the y-intercept is (24, 0). So, the points labelled by the manager are option 2: (0, 10) and (24, 0).
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write a word problem that can be solved by ordering three decimals to thousandths include a solution
MS Nelson had 5,280 craft sticks. She gave all of the craft sticks to her 22 students. Each student received the same number of craft sticks. I need the answer to part b and c. I already did a and half of b
How do you write 5.425 as a mixed number in simplest form
Identify the corresponding word problem given the equation: x - 9.2 = 12.8 A) Nick ran 9.2 miles less than Perry last week. If Nick ran 22 miles, how many miles did Perry run? B) Nick ran 12.8 miles less than Perry last week. If Nick ran 9.2 miles, how many miles did Perry run? C) Perry ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run? D) Nick ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run?
The correct answer is D
Nick ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run?
x - 9.2 = 12.8
x = 12.8 + 9.2
x = 22
Perry ran 22 miles for the week, 9.2 miles more than Nick.
Answer:
correct answer is D
Step-by-step explanation:
Graph y=−5/6x−4 . (if you can give me the coordinates)
the slope is -5/6 and y intercept is -4
so the first dot goes on (0,-4)
the next dot would go
-5/6 x 4 = -29/6
(1,-29/6)
The line of best fit drawn on the plot shown is used to predict the number of tickets sold on a certain day. Use the two points shown on the line of best fit to calculate its slope to the nearest tenth.
Slope=
What two integers is 87 between
Answer:
43 and 44
Step-by-step explanation:
a cube has a volume of 8 cubic inches what is the length of each edge of the cubes
Answer:
The formula for the volume of the cube is v=a3 where a is the length of the edge the volume of the cube is 1/8 cube inches v= 1/8 cube inches a3=(1/2)3 cubic inches
Step-by-step explanation: