Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]
Substitute x = 1 and y = 6 into equation,
[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]
Therefore substituting m and c value, equation of line is
[tex]y = - 3x + 9[/tex]
Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
perpendicular?
Answer:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect
1.1
LKR
(2)
1.2
R
(2)
1.3
N
[6]
9514 1404 393
Answer:
1.1 ∠LKR = 90°
1.2 ∠R = 32°
1.3 ∠N = 32°
Step-by-step explanation:
1.1 An inscribed angle is half the measure of the arc it subtends. Angle LKR is half the measure of the arc of semicircle LNR, so is 90°.
∠LKR = 90°
__
1.2 ΔLKR is a right triangle with angles L1 = 58°, ∠K = 90°, so ∠R is ...
∠R = 90° -58°
∠R = 32°
__
1.3 ∠N subtends the same arc LK that ∠R does, so it has the same measure.
∠R = ∠N = 32°
NEED HELP!! ITS ALGEBRA 1
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y=−5
Line 2: y=¼ x-1
Line 3: x=−6
Line 4: y+5=−4(x+1)
1)Name a pair of corresponding angles
2)name the relationship between angle 3 and angle 6
3) name the relationship between angle 4 and 6
HELPP WILL MARK B IF CORRECT!!!!!
Answer: 1) 1&5 ; 2&6; 3&7; 4&8
2) Alternate interior angles
3) Consecutive interior angles
Step-by-step explanation:
1) 1&5 ; 2&6; 3&7; 4&8
2) Alternate interior angles
3) Consecutive interior angles
help me pls AAAAAAAA
Answer:
10/3 liters
Step-by-step explanation:
Divide (4/3) by 2, then multiply by 5
Answer:
10/3 liters
Step-by-step explanation:
Your welcome, hope this helps you
What is the first step when examining a data set
Calculate the mean
Calculate the median
Put the data in order from least to greatest.
Answer:
3. Put the data in order from least to greatest
Five percent of canned goods get bumps or dents in the cans during manufacturing. Let X = the number of cans that are inspected before one with a bump or dent is found.
What is the mean and standard deviation of X?
Mean =
Standard deviation =
Answer:
Mean = 20
Standard deviation = 19.494
Step-by-step explanation:
I got it right.
The table shows the running speeds of 10 randomly selected ostriches. Speed (mlles per hour) 35 40 37 33 36 34 32 36 41 36 Based on the data, select the most reasonable prediction about the speed of ostriches.
A. The typical ostrich runs at speeds greater than 40 miles per hour
B. The top speed of an ostrich is 40 miles per hour.
C. The typical ostrich runs at a speed of about 30 miles per hour
D. The typical ostrich runs at a speed of about 36 miles per hour.
Answer:
D;the tropical ostrich runs at a speed of about 36 miles per hour
Answer: It is D, The typical ostrich runs at a speed of about 36 miles per hour.
Step-by-step explanation:
I took the quiz on A p e x^^
HELP ASAP will give brainlist
The cost of leveling a square park at Rs.15 per square meter is Rs.6000. Then the side of the square is ________. *
Answer:
20 m
Step-by-step explanation:
Given :
Leveling cost per square meter = 15
Total leveling cost = 6000
Number of square park leveled :
Tottal cost / unit cost
6000 / 15
= 400 m²
The length of one side of the square
Area of square = s²
where, s = side length
400 = s²
Sqrt(400) = s
s = 20 m
Length of one side = 20 m
a bag contains 5 blue, 8 red, and 7 green marbles. a marble is selected at random. Write each answer as a fraction, percent, and a decimal.
Answer:
1/4 and 0.25 and 25% chance for blue, 2/5 and 0.4 and 40% chance for red, and 7/20 and 0.35 and 35% for green.
Step-by-step explanation:
add all the marbles (20) and that’s the total. then however many marbles in the color that’s the top number in the fraction. divide the top number by the bottom number to get the decimal and move the decimal 2 spaces to the right to get the percent.
Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b 56m2 c 60m2 d 112m2
Answer:
550ft²
Step-by-step explanation:
Since we are not given the dimension of the rectangular prism. Let us assume;
Length of the rectangular base L = 10ft
Width of the rectangular base W = 15ft
height of the prism H = 5ft
Total surface area of the prism = 2(LW + WH + LH)
Substitute the given values
Total surface area of the prism = 2{10*15 + 15*5 + 10*5}
Total surface area of the prism = 2(150+75+50)
Total surface area of the prism = 2(275)
Total surface area of the prism = 550ft²
The price of a technology stock was $9.84 yesterday. Today, the price fell to $9.73. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
1.1 percent
Step-by-step explanation:
[(9.73 - 9.84) / 9.84 ] * 100 = -1.1 percent change = 1.1 percent decrease
Find the area of the figure.
Answer:
23.04
Step-by-step explanation:
A = a^2
A = 4.8^2
A = 23.04
Have a lovely day! <3
What is the value of x?
Answer:
I have no idea. But I just want to let you know to not put this many points, because people are going to take them without answering the question. And I don't know the answer because there are multiple x's.
Answer:
x = 8
Step-by-step explanation:
Remark
I agree with the other responder. You need only pay 20 points to get our attention. (20 will give us 10).
The length from the intersect point to the circle times the entire length of the secant is equal to any other secant divided up the same way.
Put simpler
Equation
(x + 2)(x + 2 + 2x- 8) = (x + 1)(x + 1 + 2x - 5)
Combine like terms
Solution
(x + 2)(3x - 6) = (x + 1)(3x - 4) Remove the brackets on both sides.
3x^2 + 6x - 6x - 12 = 3x^2 + 3x - 4x - 4 Combine the like terms
3x^2 - 12 = 3x^2 - x - 4 Subtract 3x^2 from both sides
- 12 = - x - 4 Add 4 to both sides
-12 +4 = - x
- 8 = - x Multiply both sides by -1
x = 8
Estimate the surface area of the rectangular prism.
A) 28cm
B) 32cm
C) 64cm
Answer:
it a
Step-by-step explanation:
Now do you guys understand the question?? I need help.
Answer:
6th period.
Step-by-step explanation:
factorise fully :
4(x - y)^2 - 9(x + y)^2
Answer:
- ( 5x + y ) ( x + 5y )
or
-5x^2 - 5y^2 - 26xy
Answer:
Step-by-step explanation:
4(x^2-2xy+y^2)-9(x^2+2xy+y^2)
4x^2-8xy+4y^2-9x^2-18xy-9y^2
-5x^2-26xy-5y^2
-5x^2-xy-25xy-5y^2
-x(5x+y)-5y(5x+y)
(-x-5y)(5x+y) or you can also remove the negative one to get
-(x+5y)(5x+y)
7/100 - 6/100= 1/100 right?
Answer:
yea it is
grrrrrrrrrrrrrrrrrrr
Answer:
True
Step-by-step explanation:
7/100 - 6/100 = ?
7-6=1
7/100 - 6/100 = 1/100
If your credit card is stolen and the thief runs up a total debt of $1,000, but you notify the issuer of the card as soon as you discover it is missing, what is the maximum amount that you must pay according to Federal law?
Answer:
50 dollars
Step-by-step explanation:
college website
Two sides of a triangle have side lengths of 6 inches and 14 inches. Select all measurements that could be the length of the third side of this triangle
Answer:
14 on the bottom and 6 going up and down and then you complete the triangle make the other up and down side 6 so it makes a triangle not a sideway one
There are 11 possible values of side x, which are 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
The side lengths of the triangle,
a = 6 inches and b = 14 inches.
A triangle is formed when the length of third side is greater than difference of two sides and less than sum of two sides.
Let the third side is x,
So, the possible values of x could be,
14 - 6 < x < 14 + 6
8 < x < 20
The values of x can be 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.
To know more about Triangle on:
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Mr. Ramirez baked 24 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Mr. Ramirez bake?
Answer:
20 oatmeal cookies
Step-by-step explanation:
5/6 is the same as 20/24, thus 20.
Geomotry 10th grade easy 25 points
Answer: 1=60°
Step-by-step explanation:
First, let's take our given angle of 30°
30° is in a right triangle, so the angles must be 90°, 60°, and 30°
Now the angle that is 45° makes angle 1 congruent to angle 60°
Meaning angle 1 is 60°
Answer:
m < 1 = 60
Step-by-step explanation:
Since the transversal is perpendicular to m,
it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.
We use vertically opposite angles property to bring m<1 in to the right triangle.
We now use the sum of interior angles property to obtain,
m < 1 + 30 + 90 = 180
This implies that,
m < 1 + 120 + 180
We group like terms to obtain,
m < 1 = 180 - 120
This means that,
m < 1 = 60
We could have also used corresponding angles property, then
m < 1 + 30 = 90
m < 1 = 90 - 30
m < 1 = 60
The speed of boat in still water is 15km/hr if needs 4 more his to travel 63 km against the current of a river than it needs to travel down the river determine the system of equation
Answer:
[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]
Step-by-step explanation:
The systems of equations are
Let us assume the rate of the current be c
Now actual speed against the current is (15 - c)
And, the actual speed with the current is (15 + c)
Here we applied the time formula i.e. distance by speed
Also the upstream time - downstream time = 4
Now the equations are
[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]
Due Today!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
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What in the flipping Jeapordy is this, but anyway:
1) Simran needs a 65% to score an 80 test average
2) The length is 13 centimeters
3) Jake purchased 4 gadgets
4) 100 candles would need to be sold
5) You bought 3 drinks
Answer:
Step-by-step explanation:
miss girl you need homework plugs sorry queen have a good day
I need help with this it’s hard for me
Answer:
12.3 - 7.9x
hope it helps XD X) :)
A square has a perimeter of 76 cm. Each side measures x + 3.
What is the value of x, in centimeters?
The value of given x is 16
Given that:
Perimeter of square = 76 cm
Side of square = (x + 3)
Find:
The value of x
Computation:
Perimeter of square = 4[Side]
76 = 4[x + 3]
76 = 4x + 12
4x = 76 - 12
4x = 64
x = 64 / 4
x = 16
The value of x = 16
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Lin and Kal's ages add up to 41 Lin is 5 years older than Kal. Use the equation from the to find their ages.
Nikea went running three days in a row. She ran 3 1/2 miles on Monday. She ran the same distance on Tuesday as she did on Wednesday. She ran a total of 7 1/4 miles on all three days. Which of these equations can be used to find the numbers of miles, x, that Nikea ran on Tuesday and Wednesday? Select all that apply.
A. 2x=7 1/4−3 1/2
B. 2x +3 1/2 = 7 1/4
C. 3 1/2 + x + x = 7 1/4
D. 3 1/2 + x = 7 1/4
E. 7 1/4 + 3 1/2 =2x
Answer; A B and C are the correct answers also please do not follow the other links answer
Step-by-step explanation: