Answer:
The slope of line LM is perpendicular to the given line.
Step-by-step explanation:
L (- 5, - 3), M (0, 3)
N (- 6, - 5) , O (0, 0)
J (- 6, 1) , K (0, - 4)
Slope of given line = -5/6
Slope of perpendicular line = 6/5
Slope of line LM
[tex]\frac{3 + 3}{0 + 5}=\frac{6}{5}[/tex]
Slope of line NO
[tex]\frac{0+5}{0+6}=\frac{5}{6}[/tex]
Slope of line JK
[tex]\frac{-4-1}{0+6}=\frac{-5}{6}[/tex]
Answer: LM is the correct answer
Step-by-step explanation: Just took the test
A bag of white sugar and a bag of brown sugar each contain 11 1/3 cups of sugar. How Many muffins can Maria top if she has 1 bag of each type of sugar?Explain your reasoning。This is super urgent tahnks
Answer:
187
Step-by-step explanation:
Fraction to make topping:
1/4 cups of white ; 2/3 cups of brown
Combined = 1/4 + 2/3 = (3 + 8) /12 = 11/12 cups
Fraction of combined used to top muffin = 1/12
Number of muffins that can be topped per combination made :
11/12 ÷ 1/12 ; 11 /12 * 12 / 1 = 11 muffins
Recall :
Each sugar has 11 1/3 cups
For brown sugar :
34 /3 ÷ 2/3 cups
34 /3 * 3 /2 = 17
For white sugar :
34 /3 * 4 /1 = 45.33
However, the highest amount of combined muffin topping for white sugar will be restricted by the number of brown :
Hence,
11 muffins can be topped from each combined mixture ;
Total muffin that can be topped :
17 * 11 = 187 muffins
A proportional relationship is shown in the table below: what is the slope and what numbers do i graph. ty besties
Answer:
The slope of the line is [tex]m = \frac{3}{5}[/tex] and the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex].
Step-by-step explanation:
From table we understand that slope of the line is constant, that is, for each change of [tex]x[/tex] there is one and only change in [tex]y[/tex], fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:
[tex]m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}[/tex] (1)
Where:
[tex]x_{o}, x_{f}[/tex] - Initial and final x-coordinates of the line.
[tex]y_{o}, y_{f}[/tex] - Initial and final y-coordinates of the line.
If we know that [tex](x_{o}, y_{o}) = (0,0)[/tex] and [tex](x_{f},y_{f}) = (8,4.8)[/tex], then the slope of the line is:
[tex]m = \frac{4.8-0}{8-0}[/tex]
[tex]m = \frac{3}{5}[/tex]
From graph we conclude that x-intercept of the line is [tex]b = 0[/tex]. Hence, the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex] and we proceed to plot the expression with the help of a graphing tool.
Working together, Sam and Charlie can change all the light bulbs in the office building in 3 hours. It would have taken Charlie 8 hours to do the job alone.
A table showing Rate in part per hour, Time in hours, and Part of Light Bulbs Changed. The first row shows,Sam, and has r, 3, and r times 3. The second row shows Charlie, and has StartFraction 1 Over 8 EndFraction, 3 and StartFraction 1 Over 8 EndFraction times 3.
Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself?
3r = 3 r equals StartFraction 3 Over 8 EndFraction.
3r + 3 r plus StartFraction 3 Over 8 EndFraction equals 1. = 1
r + StartFraction 1 Over 3 EndFraction r plus StartFraction 3 Over 8 EndFraction r equals 1.r = 1
r + StartFraction 1 Over 3 EndFraction r plus StartFraction 1 Over 8 EndFraction r equals 1.r = 1
Answer:
B
3r + 3/8=1
Step-by-step explanation:
EDGE
Answer:
b
Step-by-step explanation:
what is the answer to -2/3x + 9 = 4/3x - 3?
Answer:
x = 6
Step-by-step explanation:
[tex]\frac{-2}{3}x+9=\frac{4}{3} x-3[/tex]
-2x = -12
x = 6
Answer:
x = 6
Step-by-step explanation:
can someone help me find the function please
Find the area of the polygon . :)
Answer:
41 square units
Step-by-step explanation:
this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.
for me this split would be
1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.
2. a right-angled triangle ABF (the same F as for 1.).
the area of a square is the square of a side length.
the side length in 1. is 4.
so, its area is 4×4 = 16 square units.
the area of a right-angled triangle is
a×b/2
with a and b being the sides enclosing the 90 degree angle.
in our case here a = BF = 10, b = FA = 5
so the area of the triangle is 10×5/2 = 25 square units.
so, the total area is 16 + 25 = 41 square units.
There are 2 gold coins and 45 silver coins in Wyatt's coin collection. What is the ratio of the number of gold coins to the number of silver coins?
Answer:
2:45
Step-by-step explanation:
2:45
Questlon 2 of 10
Is SAM- FIG? If so, identify the similarity postulate or theorem that
applies.
MOA
16
110 24
12
G
A. Similar - SAS
B. Similar - SSS
C. Similar - AA
D. Cannot be determined
find the volume of the cone. the radius is 5 and the height is 3
Answer:
V= 78.54
Step-by-step explanation:
REALLY IMPORTANT
•
no files or i’ll report your answer
Answer:
c
Step-by-step explanation:
This is a parabola, so it is a quadratic parent function.
Which is the best approximation for the value of 102−−−√?
Answer:
10
Step-by-step explanation:
it is because when you use a scientific calculator you get 10.09950494
which would be round to 10 because after the decimal the number is 0 below 5 so 10 stays as 10
hope this helps
The best approximation for the value of √102 is: 10.
Approximation for √102The square root of 102 is:
√102
=10.09950494
Now if we approximate 10.09950494 it would give us:
Approximation= 10.09950494
Approximation= 10 (Approximately)
Therefore The best approximation for the value of √102 is: 10.
Learn more about approximation here:https://brainly.com/question/1980606
Marco needs to climb up to the roof of his house. He placed his ladder so that the bottom of
the ladder was 4 feet away from the wall. If his ladder was 13 feet long, how high up was the
top of the ladder against the wall of the house? Round your answer to the nearest tenth.
Answer:
12.4 feet
Step-by-step explanation:
A ladder placed against the wall forms a right angle triangle
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 13 feet
Opposite = 4 feet
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
13² = 4² + x²
169 = 16 + x²
169 - 16 = x²
153 = x²
Find the square root of both sides
√153 = √x²
12.369316876852 = x
x = 12.4 feet
Adjacent = x = 12.4 feet
A rectangle with an area of 81 cm² has a length that is 3 times the width. How long is the width of the rectangle? Round to the nearest tenth.
Answer:
W ≈ 5.2 cm
Step-by-step explanation:
Represent the length and width by L and W respectively.
Then L * W = 81 cm^2, and L = 3W.
Substituting 3W for L in the first equation, we get:
3W * W - 81 = 0, or 3W^2 - 81 = 0.
To make it easier to find the final answer, rewrite 3W^2 - 81 = 0 as
81
W^2 = ------- = 27
3
Then W (the width) is the positive square root of 27, or W ≈ 5.2 cm
Answer:
60.75 ≈ 60.8
Step-by-step explanation:
4u-> 81
1u -> 20.25 (width)
3u-> 60.75 (length)
Use sin -1, cos -1 or tan -1 to find the measure of
Q5. A surprise Mathematics test was conducted in a class of 12 students. The
results are shown below.
45
22 12
9 6 63
63 78
12
69 81 3 19
4 points
Calculate the mean score
O 34.92
O 457
O 20.5
O 22
Answer:
Mean value of score = 40.167 (Approx.)
Step-by-step explanation:
Given:
Number of students in class = 12
Numbers;
45 , 22, 12, 96, 63, 63, 78 , 12 , 69, 81, 3, 19
Find:
Mean value of score
Computation:
Mean = Sum of all observation / Number of students
Mean value of score = [45 + 22 + 12 + 96 + 63 + 63 + 78 + 12 + 69 + 81 + 3 + 19] / 12
Mean value of score = [482] / 12
Mean value of score = 40.167 (Approx.)
find two numbers if their sum is 115 and their difference is 7
Answer:
54+61
Step-by-step explanation:
54 + 61 = 115
61 - 54 = 7
Find a equation of a line that is parallel to y=5x-21 and passes through the point (3,7).
Please help me-
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
[tex]\text{C. }g(x)=(x-5)^2[/tex]
Step-by-step explanation:
The function [tex]y=(x-c)^2[/tex] has a phase shift of [tex]c[/tex] to the parent function [tex]y=x^2[/tex]. Since [tex]g(x)[/tex] has moved to the right 5 units from the parent function [tex]f(x)=x^2[/tex], we're looking for a value of [tex]c=5[/tex].
Therefore, we have:
[tex]g(x)=\boxed{(x-5)^2}[/tex]
Solve this equation
2 . B - 19 = -11
Answer:
B=8
Step-by-step explanation:
you add 19 to both sides of the equation to get B by itself.
[tex]B=-11+19\\B=8[/tex]
answer:
8,
reason
11+8=19
alalalalalalalaalalalalal
20character minimum^
38) If AD = 10, find the arc length of DE.
Answer:
23.6 units
Step-by-step explanation:
If we have a circle of radius R, the perimeter of the arc is given by:
P = 2*pi*R
Now, if we only want to find the length of an arc defined by an angle "a", it will be:
L = (a/2*pi)*2*pi*R = a*R
In this case, we know that DA = 10, so we can think that this is a circle of radius R = 10 units
And for the arc DE, we have the angle:
a = 2.36 rad
replacing these two in the formula, we get:
L = 2.36*10 units = 23.6 units
The circumference of a circle is best modeled by the perimeter of which regular polygon below?
Answer:
The answer is "20-gon"
Step-by-step explanation:
As the number of the sides increases the perimeters of the regular polygon go more closer to the circumference of the large circle. therefore the circumference of a circle is best moduled by the perimeter of the zo-gon as it has the maximum sides (z0) compared to hexagon (6), 15 gon(15), and Dodecagon(12).
Which is the axis of symmetry of a parabola with equation y? --8x?
O y = -2
O y = 0
0 x = 0
O x = 2
!!!!someone help please??????
Answer:
The image you provided doesnt work
Step-by-step explanation:
Answer:
The answer is 8, take away 8.25 from 210 and then divide it by 23
URGENT SOMEBODY PLZ HELP
First one is B (43) and the second one is C (35)!
A runs 25% faster than B and is able to give him a start of 7 metres to end a race in dead heat. What is the length of race?
Answer:
35 metres
Step-by-step explanation:
The question states that A runs 25% faster than B. This means that, for every 1 second that B runs, A runs 1.25 second
Assuming that the total length of the race, that we're looking for, is D. Then we can say that B made a total distance of D-7 meters, and A runs D.
time taken by A = [tex]\frac{D}{1.25}[/tex]
time taken by B = [tex]\frac{D-7}{1}[/tex]
equating both together, we have
[tex]\frac{D}{1.25}[/tex] = [tex]\frac{D-7}{1}[/tex]
1.25D - 8.75 = D
1.25D - D = 8.75
0.25D = 8.75
D = 8.75/0.25
D = 35
Find the unit rate for the number of parts manufactured per hour if 1380 parts are made in 4 hours. Round to the nearest integer. Group of answer choices
Answer:
345
Step-by-step explanation:
The answer is 345 because you divide 1380 by 4 which is 345.
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
Answer:
false negatives - 2%
false positives - 3%
Step-by-step explanation:
Here is the complete question :
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
% of results will be false negatives, and % of results will be false positives.
False negative means a negative result which in actuality it is positive
False negative = 100% - percent of positive result
100% - 98% = 2%
False positive result means a positive result which in actuality is negative
False positive = 100% - percent of false positive
100 - 97 = 3%
The diagram shows a pattern using four identical rhombuses.
Diagram NOT
accurately drawn
25
25
25
Work out the size of the angle marked a.
You must show your working,
Answer:
There isnt a diagram
Step-by-step explanation:
Need help to answer this plz
Answer:
25^2 + 36^2 = 49^2
Step-by-step explanation:
You can use the Pythagorean theorem to determine if it is a right triangle
If it is a right triangle
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
25^2 + 36^2 = 49^2
If this is true, then it is a right triangle
Which statement has the same information that is given for the proof below
Answer:
D. TU is a midsegment
Step-by-step explanation: