Answer:
y = -2x+7
Step-by-step explanation:
equation of line formula:
[tex]y = mx + c[/tex]
m = slope, c = y-intercept
1) find the slope using the given coordinates
slope formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
i) (3,1)
x1=3
y1=1
ii) (7,-7)
x2=7
y2=-7
substitute the values into the formula
[tex]m = \frac{ - 7 - 1}{7 - 3} [/tex]
[tex]m = \frac{ - 8}{4} [/tex]
[tex]m = - 2[/tex]
so now half of the equation is complete as we have the the value of m. substitute the value of m into the slope formula.
[tex]y = - 2x + c[/tex]
2) find the value of c
to find the value of c, we must substitute either coordinate into the half equation. so, i choose the coordinate (3,1). if you substitute the coordinate (7,-7) , you will get the same value of c.
(3,1)
x = 3
y = 1
[tex]y = - 2x + c[/tex]
[tex]1 = - 2(3) + c[/tex]
[tex]1 = - 6 + c[/tex]
[tex]1 + 6 = c[/tex]
[tex]c = 7[/tex]
substitute the value of c into the half equation and that is your straight line equation
[tex]y = - 2x + 7[/tex]
on a map with a scale 1: 25000,the area of a lake is 33.6 square centimeters. calculate the actual area of the lake, giving your answer in square kilometers
Given :
On a map with a scale 1: 25000 .
The area of a lake is 33.6 square centimeters.
To Find :
The actual area of the lake.
Solution :
Let, actual area of lake is A.
So,
[tex]\dfrac{33.6}{A}=\dfrac{1}{25000}\\\\A = 840000\ cm^2[/tex]
We know , [tex]1 \ cm^2 = 10^{-10}\ km^2[/tex]
Area in km² is :
[tex]A = 840000\times 10^{-10}\ km^2\\\\A = 8.4 \times 10^{-5}\ km^2[/tex]
Hence, this is the required solution.
the sum of 9 times a number and 4 is 6
Answer:
2/9
Step-by-step explanation:
6 - 4 = 2
2 divided by 9 = 2/9
What is the y-intercept of the function described by the equation y=15x - 60*
Choose from below
15
-60
60
100
Other:
Please help me Asp with this
Answer:
13/24 more
Step-by-step explanation:
Dina = 5/6
Natasha = 11/8
Find the LCF
6| 6, 12, 18, 24
8| 8, 16, 24
Get each fraction to have a denominator of 24
5/6 = 20/24
11/8 = 33/24
Subtract 20/24 from 33/24
33/24 - 20/24 = 13/24
Type the missing number in this sequence:
58, 65, 72, ___, 86, 93
Answer:
79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
Each number has a 7 numerical difference
in a class of c children there are 16 boys what fraction of the class are boys
Answer:
16/c
Step-by-step explanation:
hope this helps <3
What is the quotient of 8/9 ÷ 16/9
Answer:
1/2 or 0.5
Step-by-step explanation:
Type the correct answer in the box. Round your answer to the nearest integer.
B
D
30
35
A
С
In the figure, if m_ABD = 120°, then m_ADC =
-4345
Answer:
[tex]m\angle ADC=132^\circ[/tex]
Step-by-step explanation:
The Law of Sines
It is an equation relating the lengths of the sides of a triangle to the sines of its opposite angles. If A, B, and C are the lengths of the sides and a,b,c are their respective opposite angles, then:
[tex]\displaystyle \frac{A}{\sin a}=\frac{B}{\sin b}=\frac{C}{\sin c}[/tex]
We have completed the figure with the variable x for angle BDA. Thus
[tex]\displaystyle \frac{35}{\sin 120^\circ}=\frac{30}{\sin x}[/tex]
Solving for x:
[tex]\displaystyle \sin x=\frac{30\sin 120^\circ}{35}[/tex]
Calculating:
[tex]\sin x=0.742[/tex]
[tex]x=\arcsin 0.742[/tex]
[tex]x\approx 48^\circ[/tex]
Since angles ADC and x are linear, their sum is 180° and:
[tex]m\angle ADC=180^\circ-48^\circ[/tex]
[tex]\mathbf{m\angle ADC=132^\circ}[/tex]
To rent a booth at the county fair-grounds costs $42(per day plus a
one-time equipment fee of $85. Write and solve and equation to find the
number of days Ms. Williams rented a booth if she paid a total of $337
Answer:
85 + 42x = 337
x = 6
Step-by-step explanation:
For the equation:
We know there is a one-time fee plus 42 times the number of days you rent the booth for and that the total of the equation should be 337 as that is the total she paid for. We start with the one-time fee (85) and add the county fair-grounds cost (42) multiplied by the number of days you rent the booth for. Since we don't know how many days that is, we will make that our variable which we will call x.
So far we have: 85 + 42x
Now we should set the equation equal to the total amount of money Ms. Williams paid.
This will give us: 85 + 42x = 337
To solve the equation:
Our goal is to find x since that is the number of days Ms. Williams rented the booth for.
First, we subtract 85 from both sides of the equation.
42x = 252
Then, we divide both sides by 42 to isolate our variable, x.
x = 6
X is the number of days Ms. Williams rented the booth for. Therefore, Ms. Williams rented a booth at the county fair for 6 days.
Please help please please
What is the value of x?
Answer:
Step-by-step explanation:
The triangle is equilateral. That means that <N = 60 degrees
7x - 3 = 60 degrees Add 3
7x = 60 + 3 Combine the right
7x = 63 Divide by 7
7x/7 = 63/7
x = 9
A particular fruit's weights are normally distributed, with a mean of 281 grams and a standard deviation of 33 grams. If you pick one fruit at random, what is the probability that it will weigh between 291 grams and 299 grams
Answer:
0.0882
Step-by-step explanation:
Given that:
Mean(m) = 281
Standard deviation (s) = 33
Probability of weight between 291 and 299 gram
Obtain the standardized score (Zscore):
P (X ≤ 291)
Zscore = (x - m) / s
Zscore = (291 - 281) / 33
Zscore = 10 / 33 = 0.303
P(Z ≤ 0.303) = 0.61906 (Z probability calculator)
P (X ≤ 299)
Zscore = (x - m) / s
Zscore = (299 - 281) / 33
Zscore = 18 / 33 = 0.5454
P(Z ≤ 0.5454) = 0.70726 (Z probability calculator)
Hence, probability of weight between 291 and 299 gram = 0.70726 - 0.61906 = 0.0882
Help if you know please
Answer:
D, F, C
I hope this helps you out! :D
Answer:
A and E
Step-by-step explanation:
I have attached the graph of the problem.
need help.with this problem
Answer:
A' (2,2) B' (-2,1) C (3,-3)
If a triangle has a 30° angle and a 60° angle, then the triangle is an obtuse triangle
True or false
Answer:
False
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
60+30=90, and because a triangle always has a total of 180 degrees for their interior angles, the remaining angle is 90 degrees, so it is a right triangle, not obtuse.
Through (2,-5); perpendicular to 3y=x-6
Answer:
y=-3x+1
Step-by-step explanation:
Have a good one.
Find the area, in square units, of ABC plotted below.
Answer:
43.55
Step-by-step explanation:
1. Use the distance formula on both points AC and AB.
Distance formula is this:
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\[/tex]
Distance for AC is 16.16
Now do the same with the numbers for AB and get the distance of 5.39
2. To get the area, use the formula 1/2 x base x height
AB is the base and AC is the height.
1/2 x 16.16 x 5.39 = 43.55
The area of triangle ABC is 43.5 square units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The shape ABC is a triangle.
Where,
AB = Base
AC = Height
A = (1, 8)
B = (6, 6)
C = (-5, -7)
First, let's find the length of AB using the distance formula:
AB = √((6-1)² + (6-8)²)
= √(25 + 4)
= √(29)
Next, let's find the length of AC using the distance formula:
AC = √((1-(-5))² + (8-(-7))²)
= √(36 + 225)
= √(261)
The area of the triangle ABC can be found using the formula:
Area = (1/2) x base x height
We know that AB is the base and AC is the height,
Area = (1/2) x AB x AC
Area = (1/2) x √(29) x √(261)
Area = (1/2) x √(7569)
Area = (1/2) x 87
Area = 43.5
Therefore,
The area of triangle ABC is 43.5 square units.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Round 15500 to the nearesthundred
Answer:
It would be 16000
Step-by-step explanation:
have a great day :) brainliest would be nice too!
Please help me out.
Can the lengths 40, 60, and 80 form a supplementary triangle?
Answer: Yes
Step-by-step explanation:
A supplementary triangle has sides adding up to 180°.
We have the side lengths 40, 60, and 80.
To find out if it is a supplementary triangle, we will add all the sides.
40 + 60 + 80 = 180
We get 180° as our answer when we add.
We got 180°, so the answer is yes, it can.
Best of Luck!
Answer:
yes.
Step-by-step explanation:
Any angle that adds up to 180 is a supplementary angles.
based on your examples 40, 60, 80, if you sum it up...
it equates to 180. so the answer is yes.
68=u-11
i need help lol pls
Answer:
u=79
Step-by-step explanation:
68=u-11
add 11 to 68
u=79
John is standing on a set of bleachers and throws a baseball into the air. the baseball lands on the field. the height of the ball, in meters, is modeled by the function shown in the graph. what's the average rate of change of the height of the ball from the point when John throws it to its maximum height?
Answer:
2 m/s
Step-by-step explanation:
Given the graph of the baseball thrown into air.
John throws the baseball into the air from a given height and then the baseball reaches a maximum height and then comes back to ground.
The height of the baseball (in metres) is modeled by the function graph with respect to time.
To find:
The average rate of change of height of the ball from the point the ball is thrown to the maximum height.
Solution:
Here, the average rate of change can be found by dividing the distance between the two points with the change in time.
The starting time is 0 seconds.
The starting height is 3 metres.
The ending time is 2 seconds i.e. at which the ball reaches the maximum height.
The height is 7 metres.
Therefore, the average rate of change is:
[tex]\dfrac{\text{Change in height}}{\text{Change in time}}\\\Rightarrow \dfrac{7-3}{2-0}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow 2\ m/s[/tex]
Answer:
2 meters per second
Step-by-step explanation: I took the test
All of the following statements are all true except
a. The quotient of c and b is negative.
b. The quotient of 0 and c is 0.
c. The quotient of a and b is positive.
d. The quotient of 0 and a is undefined.
Answer: The answer is B and C
Step-by-step explanation:
Answer:
c. The quotient of a and b is positive.
Step-by-step explanation:
Which line is the graph of -3x=y
A B Or C
Answer:
Line A
Step-by-step explanation:
i need help with this problem
Answer:
C
Step-by-step explanation:
in trangle NET the angles are 81 and 34 so the other angle must be 180-81-34=65, the other triangle has the same measurments for angles 81-34-65 so the triangles are similar because of AA similarity theorem
ΔHMJ~ΔNET by AA similarity
What is the perimeter of this figure?
6x+6
6x+10
4x+6
4x+8
Answer: 4x+8
Step-by-step explanation:
Okay since the area for the block is X, two numbers multiplied together is X.
Since the big block has an area of X^2, then this shows the sides to be X.
This gives the sides of the block with area X to be 1 and X.
Now just add up every side like this : 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x + x + x + x to get 4x+8
while working at the school store, john sold a jacket for $40.00 and notebooks for $1.50 each.If he collected $92.50, how many notebooks did he sell?
Answer:
35 Notebooks
Step-by-step explanation:
$1.50x35=52.5
$52.5+$40=$92.5
or $92.50 - 40=$52.5
35x1.5=52.5
Answer:
35 notebooks
Step-by-step explanation:
let notebook as be 'x'
here, $40.00+x($1.50)=$92.50
x($1.50)=$92.50-$40.00
x($1.50)=$52.50
x=$52.50/$1.50
x=35
Find the value of x, rounded to the nearest tenth place.
O 13.9
O 13.7
O 13.6
O 13.8
Annie spent $143.89 at Kohls and there is a 6.25% sales tax. What will she pay in sales tax and
what is the total purchase price?
Answer:
net amount 143 89 tax 6.25 % which is $8.99 gross amount is $152.88
X=UHB SOLVE FOR H.
SOMEONE HELP ME PLS I BEG YOU!!
Answer:
[tex]\frac{X}{UB} = H[/tex] is the answer.
Step-by-step explanation:
Since we are solving for H, we need to get rid of everything that isn't H.
X = UHB can also be shown as X = UBH
Divide by UB on both sides to equal to H.
[tex]\frac{X}{UB} = H[/tex]
This is your answer.
#teamtrees #WAP (Water And Plant)
10.3 )200.3865 if it is wrong then...... but if it is corect then u get brainliest
guys someone banned me because i said the right answer cherbears lz banned her