Answer:
The given line has slope m=1
the perpendicular line MUST have slope -1
Since it MUST eat (-3,2), the intercept formula says
B = y - mx = 2 - (-1)(-3) = 2 - 3 = -1
so the equation of the perpendicular line that eats point W is
y = -x -1
The lines y=x+3 and it's perpendicular y = -x-1 intersect at
y = x+3 = -x-1
2x+3 = -1
2x = -4
x = -2
THe intersection point is
(-2,1)
Finally by distance formula,
The distance between (-3,2) and (-2,1) is
sqrt ( (-3 - -2)^2 + ( 2-1)^2)
= sqrt( (-3 + 2)^2 + (2-1)^2)
= sqrt( (-1)^2 + 1^2)
= sqrt ( 1+1)
= sqrt(2)
Step-by-step explanation:
The distance between line l and the point E (-7, 0) will be;
D = 3.
What is distance between point and line?
The distance between a line ax + by + c = 0 and point (p, q) will be;
D = |ap + bq + c|/√a² + b²
Given that;
Equation of line;
y = -3
And, Point = E (- 7, 0)
Hence, The distance between a line and point is calculated as;
Equation of line;
y = -3
y + 3 = 0
Compare with ax + by + c = 0, we get;
a = 0, b = 1 and c = 3
And, Point = (p, q) = (-7, 0)
Thus, The distance between a line and point is;
D = |0 + 0 + 3|/√0+1
D = 3
So, The distance between line l and the point E (-7, 0) will be;
D = 3.
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Find the area of a circle with Radius 8 yd.
Use the value 3.14 forn, and do not round your answer.
Answer:
[tex]64\pi yd^{2}[/tex] or 201.062 [tex]yd^{2}[/tex]
Step-by-step explanation:
Area of a circle: [tex]\pi r^{2}[/tex]
Given:
r=8 yd
[tex]\pi[/tex]=3.14
[tex]\pi (8^{2})=64\pi[/tex]
=201.062 [tex]yd^{2}[/tex]
I hope this is correct and helps!
Helpppppppppppppppoppppoopppppppp
Answer:
angle 2 = 75 ; angle 1 = 105
Step-by-step explanation:
If anyone could help also step by step please with work
9514 1404 393
Answer:
m = 1/3
Step-by-step explanation:
Step 1. Pick a line of the table to use as (x1, y1).
Step 2. Pick a different line of the table to use as (x2, y2).
Step 3. Use the slope formula:
m = (y2 -y1)/(x2 -x1)
Step 4. Simplify the result.
__
Here are these steps for this problem.
1, 2. use (x1, y1) = (-9, -5) and (x2, y2) = (-3, -3)
3. m = (-3 -(-5))/(-3 -(-9)) = 2/6
4. m = 1/3
this graph displays the speed of my CPU relative to the temperature. based on the graph, what is the rate of my CPU speed over temperature change (MHz/celsius)
Answer: Gamers and Graphic Designers are high-performance users. They use to replace parts so that the PC would run fast. Gamers used to overclock the PC so that the online games will run smoothly but overclocking can increase the CPU temperature.
Step-by-step explanation:
simplify to the lowest terms
Answer:
1/2
Step-by-step explanation:
divide the numerator & denominator by 4
Solve the equation.
Start Fraction b over negative 6 End Fraction = –3
Answer:
Step-by-step explanation:
b/-6=-3
b=18 (x -6 on both sides)
The point V(-2,-1) is reflected over the y-axis. What are the coordinates of the resulting point, V’?
Answer:
(2,-1)
Step-by-step explanation:
i think it's that.
The table represents temperature for 9 days in February. what is the average temperature?
Answer:
42
Step-by-step explanation:
(38+45+28+50+52+48+60+30+27)/9
=42
20
Find the median for the set of numbers:
53, 22, 76, 46, 68, 32, 15, 29
7.2% is what decimal?
72
7.2
0.072
0.75
What is the measure of the angle that is a complement of angle C?
A.
30°
B.
20°
C.
40°
D.
120°
E.
None of the above
Answer:
A: 30°
Step-by-step explanation:
Complementary means 90°. So 60+ x =90. 60+30=90.
Answer:
the measure of the angle that is a complement of angle C is =90-60=30
A.is your answer
Can someone help solve number 14 and 15 please
Answer:
14: A
15: A
Step-by-step explanation:
In a carton of 10 eggs three were broken. Steven took 2 unbroken eggs and baked omelettes. A little later he took another egg out of the carton. What is the probability that this egg was not broken?
After he got 2 unbroken eggs there were 5 unbroken ones and 3 broken. In total 8 eggs.
The probability that the egg was not broken is 5/8 or 62,5%.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability of an egg that is not broken is 5/8.
What is probability?
It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of eggs = 10
Number of broken eggs = 3
Number of eggs used = 2
Number of remaining eggs = 8
The number of not broken eggs.
= 8 - 3
= 5
The probability of an egg that is not broken.
= 5/8
Thus,
The probability of an egg that is not broken is 5/8.
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what fraction equals 1/8 + 1/8 + 1/8 + 1/8 + 1/8?
Answer:
Pretty sure it's 5/8
Step-by-step explanation:
The value of the given expression is 5/8.
The given expression is 1/8 + 1/8 + 1/8 + 1/8 + 1/8.
How to add fractions?To add fractions there are three simple steps:
Step 1: Make sure the bottom numbers (the denominators) are the same.
Step 2: Add the top numbers (the numerators), and put that answer over the denominator.
Step 3: Simplify the fraction (if possible).
Now, 1/8 + 1/8 + 1/8 + 1/8 + 1/8=5/8
Therefore, the value of the given expression is 5/8.
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What is 3.457 rounded to the nearest tenth
Dr. Howser recently purchased two new fish tanks (Tank A and Tank B) to place in the waiting area of his office. Each fish tank holds exactly 120 gallons of water. Tank A will hold small fish and Tank B will hold large fish. Dr. Howser plans on buying 3 small fish for every 10 gallons of water in Tank A. He plans on buying 6 large fish for every 40 gallons of water in Tank B.
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Which of the following represents the factorization of the trinomial below?
x^2- X-20
Answer:
(x-2)(x-10)
Step-by-step explanation:
Hope this helps :)
Answer ASAP pls pls
Answer:
30 x 24 = 720
720 / 2 = 360
360 inches squared
Solve to find the answer of blue pills Mr body took: number of blue pills, b, mr mattics give him was 3 more than the number of green pills,g, total number of pills took was 17, 11 blue pills to kill
Answer:
Mr body took 9 blue pills
Step-by-step explanation:
Total number of pills consumed = 17
Number of blue pills, b = 11
Number of blue pills, b = g + 3
So that,
b = g + 3
11 = g + 3
g = 8
Total number of pills recommended = b + g
= 11 + 8
= 19
Total number of pills consumed = 17
Thus,
Number of blue pills consumed = 17 - 8
= 9
Therefore, Mr body took 9 blue pills.
Enter an expression for the perimeter of the given figure. Simplify the expression.
11.2 in.
x + 6 in.
X + 6 in.
X + 6 in.
X + 6 in.
11.2 in.
The perimeter of the figure is
i
Answer:
( 4x + 46.4) in
Step-by-step explanation:
Perimeter of the given figure
= 4(x + 6) + 2*11.2
= 4x + 24 + 22.4
=( 4x + 46.4) in
(ii) 3xy + 2y – 12х – 8
Answer:
- 9x + 5y - 8
Step-by-step explanation:
3x + 3y + 2y - 12x - 8
- 9x + 5y - 8
Gracie and Mark are having a
contest to see who can sell the most
cupcakes. For every 3 that Mark
sold, Gracie sold 4. If Gracie sold 4
more than Mark, how many total
cupcakes were sold?
Answer:
Mark sold 12 cupcakes, meaning Gracie sold 16.
4 threes, and 4 fours.
Mark Gracie
O O O O O O O
O O O O O O O
O O O O O O O
O O O O O O O
Answer:
Step-by-step explanation:
m/g=3/4
m=3g/4, now we can express m in terms of g
g=4+m, using m found above in this equation gives you
g=4+(3g)/4
4g=16+3g
g=16, since m=3g/4
m=3(16)/4
m=48/4
m=12
So total cupcakes sold is 12+16=38.
38 cupcakes were sold.
Write the equation of the line (in slope-intercept form) that passes through the points (1, 6) and (2, 8).
Answer:
y = 2x + 4
Step-by-step explanation:
Figure out the slope.
y2 - y1 / x2 - x1 8 - 6/ 2 - 1 = 2
Find out the y-intercept. Your equation so far is y = 2x + b.
8 = 2(2) + b
8 = 4 + b
4 = b
A zoo is located on a rectangular area of land the length of the rectangular is 2 1/4 miles the width of the rectangular is 1 1/2 miles what is the total area of the zoo
Answer:
area = 3 3/8 miles²
Step-by-step explanation:
Width = 1.5
Length = 2.25
2.25 x 1.5 = 3.375 miles²
another way:
1 1/2 x 2 1/4 = 3/2 x 9/4 = 27/8 = 3 3/8 miles²
How many different 5-digit PIN codes are there that only include the digits 7, 2, 4, 6, 9 and 3?
Answer:
720
Step-by-step explanation:
6*5*4*3*2=720
A company makes muesli which contains nuts and sultanas.
They counted the number of nuts in 50 individual serving packets.
They drew this table.
Number of nuts
Number of
Midpoint (x)
packets (0)
fx
4-6
5
3
15
7-9
8
9
72
10 - 12
11
12
132
13 - 15
14
17
238
16 - 18
17
9
153
50
610
a) Complete the table.
b) Calculate an estimate for the mean.
A company makes muesli which contains nuts and sultanas.
They counted the number of nuts in 50 individual serving packets.
They drew a table.
Number Midpoint Number of
of nuts (x) packets (f) f.x
4 - 6 5 3 15
7-9 8 9
10 - 12 11 12
13 - 15 14 17
16 - 18 17 9
50
To Find :
complete the table
calculate and estimate for the mean
The estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.
a) To complete the table, we need to find the values of "fx" (frequency multiplied by the midpoint) for each class interval. Here's the updated table:
Number of Nuts Number of Packets Midpoint (x) fx
4-6 5 5 5 * 3 = 15
7-9 8 8 8 * 9 = 72
10 - 12 11 11 11 * 12 = 132
13 - 15 14 14 14 * 17 = 238
16 - 18 17 17 17 * 9 = 153
Total 50 610
b) To calculate an estimate for the mean, we use the formula:
Mean = Sum of (fx) / Total Number of Packets
Mean = 610 / 50
Mean ≈ 12.2
Therefore, the estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.
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Gabe is making a fruit punch for a party. He starts with some apple juice and adds 2 12 cups of soda and 134 cups of orange juice. He ends up with 612 cups of the fruit punch. How many cups of apple juice are in the fruit punch?
A) 214
B) 3 56
C) 4 14
D) 10 34
8x-7(1/2x+7)=14
solve thid
How to divide a whole number by a whole number, keep change flip? example 3 divided by 6.
Answer:
Step-by-step equation
Divide the whole numbers and check the answer using multiplication identify and apply to division properties of one identify and apply the division properties of zero use Long division algorithm to divide digit numbers Gentefied the divisor and remainder in a division problem
( calculate angels using line and angle relationships). Will give b for right answer
Step-by-step explanation:
Since w||v
<a=140 ( Vertically opposite angles and corresponding angles)
Answer:
141 degrees
Step-by-step explanation:
if the lines are the same, so are all of the measures if the angles.
