we know that
the equation of the line in the slope-intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope of the line
b is the y-intercept of the line
Let
[tex]A(2,-4)\\B(0,6)[/tex]
Step [tex]1[/tex]
Find the slope of the line AB
the slope between two pints is equal to
[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]
substitute the values
[tex]mAB=\frac{(6+4)}{(0-2)}[/tex]
[tex]mAB=\frac{(10)}{(-2)}[/tex]
[tex]mAB=-5[/tex]
with the slope m and the point B find the value of b
[tex]B(0,6)[/tex]
[tex]6=-5*0+b[/tex]
[tex]b=6[/tex]
Find the equation of the line
[tex]y=mx+b[/tex]
[tex]y=-5x+6[/tex]
therefore
the answer is
[tex]y=-5x+6[/tex]
make a triangle with 5 smaller shapes
What is the surface area of this figure?
What's the product of 713 and 82?
I need help with number 3 please, thanks.
Archie went to an arcade to play video games he paid $2 for every 11 tokens he bought he spent a total of $16 on tokens which equation can be used to determine t the number of tokens Fred bought
Mr. Hines was arranging desks into rows for his classroom . Mr. Hines has 20 desks in his class. Draw an array to show how Mr. Hines classroom would look if he put 5 desks in each row
PLEASE HELP!!!
The concentration, in parts per million, of a type of antibiotic in a human's bloodstream after h hours can be modeled by the polynomial function C(h) = −0.09h2 + 3.5h + 8. What is the concentration of the antibiotic after 3 hours in parts per million to the nearest hundredths?
A) 17.69
B) 18.77
C) 38.69
D) 42.34
Louis has three more quarters than dimes in his pocket, for a total of $1.80. Which equation could be used to determine the number of dimes, x, in his pocket?
17 heartbeats in 15 seconds as a unit rate
Answer:
17 heartbeats in 15 seconds as a unit rate is-
1.13 over 1
hope it is clear to you
Which of the following describes a ratio of actual events to the number of trials in an experiment? Select all that apply. HELP ME!!
prediction
experimental probability
theoretical probability
relative frequency
trial
uniform probability model
The weight of an object on earth is about 6 times as great as the objects weight on earths moon. What is the weight of an object on Earth’ s moon if it weight 42 pounds on Earth?
An object would weight 6 pounds on Callisto . What would it weight on Earth’s moon?
A(n) __________ is a rate that has a denominator of 1.
empty set
unit rate
contradiction
identity
Match the numbers in scientific notation with the corresponding numbers in standard notation.
232,000,000
0.00000431
2,320,000,000
0.000000000000431
2.32E9
2.32E8
4.31E-13
4.31E-6
The matching of the given numbers to there standard notation is given as follows:
232,000,000------ 2.32E8
0.00000431 ------ 4.31E-6
2,320,000,000 ----- 2.32E9
0.000000000000431 ----- 4.31E-13
Step-by-step explanation:We know that the standard notation of a number is given by:
There must be only one digit before the decimal and rest after that.
Also, it there is a shift of the decimal to the right then the power goes to negative and positive if shift is to the left.
1)
232,000,000
Here we have to take the decimal 8 digits from the left and the number in standard notation will be given by:
[tex]2.32\times 10^8[/tex]
which is written as: 2.32E8
2)
0.00000431
Here we have to shift the decimal 6 digits to the right.
Hence, the number is expressed as:
[tex]4.31\times 10^{-6}[/tex]
which is written as: 4.31E-6
3)
2,320,000,000
Here the decimal is to be put 9 digits from the left and hence the number is represented as:
[tex]2.32\times 10^9[/tex]
which is given by: 2.32E9
4)
0.000000000000431
Here we will shift the decimal 13 places to the right and hence the number is given by:
[tex]4.31\times 10^{-13}[/tex]
which is given by: 4.31E-13
Subtract 1/4 w + 4 from 1/2 w +3
A: 1/4 w + 7
B: 1/4 w -1
C: -1/4 w +1
D: -1/4 w +7
Can anyone explain this to me??
Practice: Activating Prior Knowledge
Write three real-world examples of quantities that you would use scientific notation to express.
(Hint:What measurements are really large or really tiny?)
Yadira made a wooden cone with a radius of 1.9 inches and a height of 15 inches. What is a good estimate of the volume of this cone?
The good estimate of the volume of the cone is 56.70 cubic inches whose radius is 1.9 inches and height of the wooden cone is 15 inches.
What is a cone?It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.
Yadira made a wooden cone with a radius of 1.9 inches and a height of 15 inches therefore,
The radius of the wooden cone r = 1.9 inches
The height of the wooden cone h = 15 inches
We know the volume of a cone is given by:
[tex]\rm V = \pi r^2 \frac{h}{3}[/tex]
Put the values of the r and h, we get:
[tex]\rm V = \pi( 1.9^2) \frac{15}{3}[/tex]
V = 3.61×5×π
V = 56.70 cubic inches
Thus, the good estimate of the volume of the cone is 56.70 cubic inches whose radius is 1.9 inches and height of the wooden cone is 15 inches.
Learn more about the cone here:
brainly.com/question/16394302
3x - y = 7
6x - y = 10
When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?
When using elimination to solve the system of equations, subtracting the first equation from the second eliminates the y variable, resulting in the equation 3x = 3, which simplifies to x = 1.
When solving the system of equations by elimination, we align the equations vertically and subtract or add them to eliminate one of the variables. Let's consider the given system:
3x - y = 7
6x - y = 10
By subtracting the first equation from the second, we eliminate variable y. The subtraction works as follows:
(6x - y) - (3x - y) = (10) - (7)
Which simplifies to:
3x = 3
From this resulting equation, we can easily solve for x:
x = 3 / 3
x = 1
This is the first part of the solution. After finding the value of x, we substitute back into either of the original equations to solve for y.
I'd appreciate someones help right about now Haha :)
I need help :/
What is the appropriation for the perimeter of a semicircle with a diameter of 64 meters? Use 3.14 to approximate pi
dining room furniture with a cash price of $1,900 at $100.00 down and $90.00 per month for 24 months a. $ b. $ c.
The total cost is $2,260.
The question involves calculating the total cost of purchasing dining room furniture with an initial down payment and subsequent monthly payments. First, we account for the down payment: $1,900 (cash price) - $100 (down payment) = $1,800 remaining balance. This balance will be paid over 24 months at $90 per month, thus 24 * $90 = $2,160. The total cost of the furniture, including the down payment, would then be the sum of the down payment and the total of the monthly payments: $100 + $2,160 = $2,260.
The total cost of the dining room furniture with this payment plan is $2,260.00.
The total cost for the dining room furniture with the given payment plan.
1. Down Payment: $100.00
2. Monthly Installments: $90.00 for 24 months
Calculate the total cost of the furniture before any payments are made:
[tex]\[ \text{Cash Price} = \$1,900 \][/tex]
The total amount paid through monthly installments:
[tex]\[ \text{Monthly Installment} = \$90.00 \times 24 \text{ months} = \$2,160.00 \][/tex]
Finally, let's add the down payment to the total amount paid through installments to find the overall cost:
[tex]\[ \text{Total Cost} = \$100.00 + \$2,160.00 = \$2,260.00 \][/tex]
how do i solve this complex number (-3i)(-5i)(6+i)
algebra question
1/8m = 6 to find m
Talia has 80 pounds of soil she wants to divide it into bucket so that each bucket weighs 4/5 lb how many buckets will she need
A cylinder shaped water tank has a diameter of 8 m and a height of 20 m. What volume of water does the tank contain when it is 60% full? Use 3.14 to approximate pi. Enter your answer as a decimal to the hundredths place in the box. m³
Which expression is equivalent to 15x+50
Final answer:
The equivalent expression to 15x+50, by factoring out the greatest common divisor, is 5(3x+10).
Explanation:
The question is asking for an equivalent expression to the linear algebraic expression 15x+50. By examining the coefficient and constant term, we note that both terms are divisible by 5. Therefore, we can factor out 5 to simplify the expression. The steps for simplification are as follows:
Find the greatest common divisor (GCD) of the coefficients, which in this case is 5.
Divide each term by the GCD.
Express the factored form using the distributive property.
By applying these steps:
The GCD of 15 and 50 is 5.
Dividing each term by 5 gives us 3x + 10.
Thus, we can write the expression as 5(3x + 10), which is equivalent to the original expression 15x + 50.
Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. Who was descending at a faster rate?
Mel: (2, 50) and (5, 35)
Victor: (1, 60) and (4, 50)
Mel’s rate of change is____.That means that her height in the air decreases _____ feet every second.
Victor’s rate of change is _____ . That means that his height in the air decreases _____ feet every second.
The height of Mel in the air is decreasing at a faster rate than victor's height in the air.
Mel's rate of change is -5 feet per second. That means that her height in the air decreases 5 feet every second. Victor's rate of change is -3.33 feet per second. That means that his height in air decreases 3.33 feet every second.Given information:
Mel slides down water-slide A and Victor slides down water-slide B.
After 1 second, height achieved by [tex]\rm{Mel}= 50\; \text{Ft}[/tex]
After 5 seconds, the height remained is 35 feet.
In another case,
The height achieved by Victor after 1 second is 60 feet.The height remained after 4 second is 50 feet.Now, the expression is used for evaluating the slope of the equation are formulated below:
[tex]\bold{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Where, [tex]m[/tex] is the slope and [tex]x[/tex] and [tex]y[/tex] are respective coordinates.
Hence, for Mel's case, apply the formula of slope and solve it further:
[tex]\begin{aligned}m_1&=\dfrac{35-50}{5-2} \\m_1&=-5 \end{aligned}[/tex]
So, the rate of change of Mel's height is 5 feet per second.
And for victor's case, slope will be:
[tex]m_2=\dfrac{50-60}{4-1} \\\\m_2=-3.33[/tex]
The rate of change of victor's height is 3.33 feet per second.
Mel's rate of change is -5 feet per second. That means that her height in the air decreases 5 feet every second.Victor's rate of change is -3.33 feet per second. That means that his height in air decreases 3.33 feet every second.For more information visit:
https://brainly.com/question/14914699
The mean age of swimmers for all these teams is 10 Which team has the greatest MAD?
The answer is Jasons!
Answer:
Step-by-step explanation:
There are 3 data sets given as
I) x 7 8 9 10 11 12 13 Total
Frequ 1 2 1 2 2 0 2
Mean dev|x-10|*f 3 4 1 0 3 0 6 17
II) x 7 8 9 10 11 12 13 Total
Frequ 2 3 0 0 1 1 3
Mean dev|x-10|*f 6 6 0 0 1 2 9 24
III) x 7 8 9 10 11 12 13 Total
Frequ 0 0 4 4 1 0 1
Mean dev|x-10|*f 0 0 4 0 1 0 3 8
Thus we find the middle one Jason has the highest deviation.
Scientists determined that Antarctica’s average winter temperature was -34.44 The difference between this temperature and Antarctica’s highest recorded temperature was 49.44 degrees. What was Antarctica’s highest recorded temperature
State whether the y-values are increasing ,decreasing,or neither as x increases for problem y=1.5x