Answer:
f(x) = -8x - 9Step-by-step explanation:
GivenFunction f, with
f(0) = -9Slope of f = -8To findLinear functionSolutionSlope-intercept formula
f(x) = mx + bf(0) = -9 means y-intercept b = -9, and the slope is m = - 8So the function is
f(x) = -8x - 9Find the area, in square units, of ABC plotted below.
A(0,7)
B(7,-2)
D(2, -3)
C(-3,-4)
The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
The coordinates of the points A, B, C, and D in the given figure are:
A(0, 7)B( 7,-2)C(-3, -4)D(2, -3)Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.
Thus, we get:
Length of line segment AD = |AD| = distance between A and D = [tex]\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.[/tex]
Similarly, we get:
|CB| = [tex]\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.[/tex]
If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.
Thus, as we know know that:
Height's measurement of ABC = |AD|= [tex]\sqrt{130} \: \rm units[/tex]Base length of ABC = |BC| = [tex]\sqrt{136} \: \rm units[/tex]Thus, the area of the triangle ABC is:
[tex]A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2[/tex]
Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.
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polynomial time............
Answer:
I'm pretty sure its b
Step-by-step explanation:
I plotted each one to make a polynomial graph and b was the one that had the x-intercepts at -6, 1, and 4.
hope this helped a little :))
this table displays the amount of water in the bathtub as it is being drained a two-column table with four rows column one is labeled time minutes with entry 7 8 9 10 CO2 is labeled water gallons with entries 38.5 36.2 534-3175 use the table to interpret the rate of change what is the rate of change for the relationship
The rate of change for the relationship, given the data is -2.25 gallon/min
What is velocity?Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:
Velocity = displacement / time
With the above idea in mind, we can obtain the rate of change for the given relationship. This is illustrated below:
How to determine the rate of change Column 1 i.e time (min) = 7, 8, 9, 10.Column 2 i.e Water (gallons) = 38.5, 36.25, 34, 31.75.Rate of change =?Rate = Change in gallon / change in time
Rate = (36.25 - 38.5) / (8 -7)
Rate = -2.25 / 1
Rate of change = -2.25 gallon/min
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what is the least common denominator of 1/2, 2/3 and 3/8 A. 48 B. 24 C. 16 D. 12
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
How do you do this question?
Answer:
bn = 1 / n
Step-by-step explanation:
We want to show the series an diverges. So we need to find a smaller function bn that diverges. That means we can eliminate options C and D, both of which converge.
an = (3 + sin(n) + e⁻ⁿ) / (2n − 1)
Sine is between -1 and +1, and e⁻ⁿ approaches 0 as n approaches infinity. So the numerator is a minimum of 2 as n approaches infinity. So we can make a new function:
an = 2 / (2n − 1)
Let's look at option B: bn = 4 / √n = 2 / (½√n).
½√n is less than 2n − 1, so bn is greater than an. We can't use that to show that an diverges.
Now let's look at option A: bn = 1 / n = 2 / (2n).
2n is greater than 2n − 1, so bn is less than an. Since bn diverges, an must also diverge.
What is the following equal to 7 times 10^3
Answer:
7000
Step-by-step explanation:
10^3=1000
1000*7=7000
7000 is answer
1000×7 = 7000
I need help ASAP thank u
Answer:
im pretty sure the answer is a
Step-by-step explanation:
and follow me plz
Type the correct answer in each box. Use numerals instead of words. For this question, any answer that is not a whole number should be entered as a fraction in simplest form, using / as the fraction bar, or as a decimal number rounded to the hundredths place. The point P has a value of and is represented with a point on the top number line. The point R has a value of and is represented with a point on the bottom number line. If the value of point P is and |Q| is , then the greatest value of P + Q is , and the least value of P + Q is . If the value of point R is and |S| is 2, then the greatest value of R + S is , and the least value of R + S is . Reset Submit
Answer:
Step-by-step explanation:
Since we are not given the value of P, |Q|, R and S, we can as well assume values for them for the sake of this question.
Let P = 5, |Q| = 6, R =7 |S| = 2
Note that since Q and S are in modulus sign, they can return both positive and negative values.
P+Q = 5 + 6 (note that the positive value of Q is used since we need the greatest value of P+Q)
P+Q = 11
Hence the greatest value of P+Q is 11
For the least value of P+Q, we will use the negative value of Q as shown
P+Q = 5+(-6)
P+Q = 5-6
P+Q = -1
Hence the least value of P+Q is -1
Similarly:
R+S = 7 + 2 (note that the positive value of S is used since we need the greatest value of R+S)
R+S = 9
Hence the greatest value of R+S is 9
For the least value of R+S, we will use the negative value of S as shown
R+S = 5+(-2)
R+S = 5-3
R+S = 2
Hence the least value of P+Q is 2
NOTE THAT THIS ARE ASSUMED VALUES. ALL YOU NEED IS TO PLUG IN THE VALUES OF P, Q and R THAT YOU HAVE IN CASE THE VALUES DIFFERS.
Solve the following equation algebraically. Show your work.
6=x+23
Answer: 23+x=6
-23 -23
1x/1 -17/1
x=-17
Step-by-step explanation:
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-6*x-(23)=0
Step by step explanation :
Pulling out like terms
Pull out like factors :
-6x - 23 = -1 • (6x + 23)
Solving a Single Variable Equation:
2.1 Solve : -6x-23 = 0
Add 23 to both sides of the equation :
-6x = 23
Multiply both sides of the equation by (-1) : 6x = -23
Divide both sides of the equation by 6:
x = -23/6 = -3.833
Therfor the answer is : x = -23/6 = -3.833
help me with thisss simplify : 6³/6⁶
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Ms. Smith bought a 5 pound bag of candy for her 6 grade classroom. She gave away 2 pounds of candy to her students during the first unit of
instruction and ate 6 ounces of candy during planning.
How many ounces of candy does Ms. Smith still have in her bag?
Note: (1 pound = 16 ounces)
A 38 ounces
o
B. 42 ounces
O c. 48 ounces
D. 54 ounces
Answer:
42 ounces or B
Step-by-step explanation:
5 pounds - 2 pounds=3 pounds
3 pounds=48 ounces
48 ounces-6 ounces=42 ounces
D) 685
Titik koordinat yang manakah berada pada garis lurus Y=X +99
A) (2,13)
B) (4,11)
C) (3,12)
D) (5,10)
Answer:
A
Step-by-step explanation:
6. The store paid $2.50 for a book and sold it for $5.25. What is the profit as a percent?
What’s the ratio 217:279 simplified
Answer:
666:999
Step-by-step explanation:
olyiuuuyyiuuuuuu
Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the given conditions.
Let n = a number. Choose the inequality that represents the given relationship.
Answer:
D on edge
3(n – 2) ≥ 5n
Step-by-step explanation:
the next question's answer is B
Simplify [tex]\frac{14^{15} }{14^{5} }[/tex]:
A. [tex]1^{3}[/tex]
B. [tex]1^{10}[/tex]
C. [tex]14^{3}[/tex]
D. [tex]14^{10}[/tex]
Answer:
The answer is D 14^10
Answer:
A
Step-by-step explanation:
what is the sales tax if a $9,895 purchase will have $809.41 of sales tax added to it? round to one decimal place
Answer:
8.2%
Step-by-step explanation:
9,895x = 809.41
x = 0.08179 or 8.2%
Solve for S
P=4s
Please answer!!!!
Answer:
b
Step-by-step explanation:
divide both sides of the equation by 4 to leave s by itself
find the perimeter of a circle whose diameter is 12.6 cm please help and show working
Answer:
39.584034 cm
Step-by-step explanation:
Firstly find the radius, 6.3 cm. Then plug into the formula, 2πr.
I used 3.14159 as pi.
work:
2 * 3.14159 * 6.3
6.28318 * 6.3
39.584034
If y =3x-5,and x=5 then y ???
I need help in math please I am not able to figure these out, I will give you the brainlest and thank you.
Answer:
A. -7 A2. -7
B.-14 B2. 2
C.-14 C2.14
D. 1 D2. -7
9514 1404 393
Answer:
a. -7, -7
b. -14, 2
c. -14, -14
d. 1, -1
e. misuse of the associative property leads to different results
Step-by-step explanation:
Your calculator (or a spreadsheet) can figure these easily.
a. -12 +(-4 +9) = 12 +5 = -7
(-12 +(-4)) +9 = -16 +9 = -7
__
b. (14 -20) -8 = -6 -8 = -14
14 -(20 -8) = 14 -12 = 2
__
c. (14 +(-20)) +(-8) = -6 -8 = -14
14 +(-20 +(-8)) = 14 +(-28) = -14
__
d. -1 -(-1 +(-1)) = -1 -(-2) = -1 +2 = 1
(-1 -(-1)) +(-1) = (-1+1) -1 = 0 -1 = -1
__
e. The associative property works for addition. When the associative property is used to rearrange subtraction problems, the minus signs need to be kept with the numbers, as in (c). That is, the problem needs to be expressed as a sum of signed numbers.
In (d), the term -(-1 +(-1)) was broken in the middle when the sum was rearranged for the second expression. Only terms in the same level of parentheses can be rearranged by the associative property.
HELP! Giving branliest to who answers!!!
Answer: A. -1.8
Step-by-step explanation: Hi there!
First, we have to see the constant rate of change in the x and y values.
For x: 2
For y: -3.6
If the slope is m=y/x
then we can do
-3.6/2
that simplifies to
-1.8/1
which is
-1.8
Hope this answer helps you!
Mikhail draws triangles ABC and FED, as shown below, and claims that the two triangles are similar but not congruent.
Select all methods that can be used to justify the claim.
show that 2C 2D and that all corresponding sides are congruent
show that 2C 2D and that all corresponding sides are proportional
show that a sequence of rotations, reflections, and translations carries triangle ABC onto triangle FED
show that a sequence of rotations, reflections, translations, and dilations carries triangle ABC onto triangle FED
Answer:
First definitions:
Two triangles are congruent if the corresponding sides are all the same length (one triangle can be a rotation, translation or reflection of the other)
Two triangles are similar if the corresponding interior angles are equal and the corresponding sides are proportional. (so one triangle can be a rotation, translation, reflection or contraction/dilation of the other)
You can notice that two congruent triangles are similar, but two similar triangles are not necessarily congruent.
Then two methods to show that the triangles are similar but not congruent are:
1) show that a sequence of rotations, reflections, translations, and dilations carries triangle ABC onto triangle FED
If we have a dilation, then the sidelengths of the corresponding sides can not be equal, wich implies that the triangles are not congruent.
2) show that 2C 2D and that all corresponding sides are proportional
If the sides are proportional, then it is similar, but not congruent.
QUESTION:
An airplane flies with a constant speed of 660 miles per hour. How long will it
take to travel a distance of 2475 miles?
Answer:
5643
Step-by-step explanation:
you add them together then you divide
A cartographer creates a map of Bucks County with a scale factor of 1 inch = 10 miles. The distance between Quakertown and Sellerville is 2.92 inches on the map. Determine the actual distance between the two boroughs.
In the diagram, bisects ABC. Find mABD and mDBC
Answer:
Angle ABD = 45 degrees
Angle DBC = 45 degrees
Step-by-step explanation:
If the ray BD bisects ABC, then it divides it in two angles of equal measure. The we can write the following equality:
angle ABD = Angle DBC
9 x + 9 = 12 x - 3
solve for x by subtracting 9x from both sides,
9 = 3 x - 3
and adding 3 to both sides:
9 + 3 = 3 x
12 = 3 x
divide both side by 3 to isolate "x":
12/3 = x
x = 4
And now we can find the value of each angle:
Angle ABD = 9 x + 9 = 9 (4) + 9 = 36 + 9 = 45 degrees
Angle DBC = 12 x - 3 = 12 (4) - 3 = 18 - 3 = 45 degrees
Which equation represents a line with a slope of -3 and a y-intercept of -6?
A. y = 3x - 6
B. y = 6x + 3
C. y = - 3x +6
D. y = - 3x - 6
Answer:
D. y=-3x-6
Step-by-step explanation:
Slope is before x and since it is -3 it is -3x the y-intercept is the number without the variable and since it's -6 you get y=-3x-6
5624/6 with a remainder
Answer:
937.333
Step-by-step explanation:
Answer:
937.33 (rounded. Real answer: 937.333333)
Step-by-step explanation:
5,624 ÷ 6 = 937.33 (rounded since the real answer was: 937.333333)
Kayla measures a distance of 50 inches. She needs to find the equivalent number of meters. Which conversion factors should she use? Check all that apply.
(A) StartFraction 2.54 centimeters Over 1 inch EndFraction
(B) StartFraction 1 inch Over 2.54 centimeters EndFraction
(C) StartFraction 1 meter Over 100 centimeters EndFraction
(D) StartFraction 100 centimeters Over 1 meter EndFraction
Answer: A and C
Step-by-step explanation: :)
Answer:
A and C [: (edg 2021)
Step-by-step explanation:
I got it correct on my assignment!
which type of statement has the form if a then B?
Answer:
A Conditional Statement
Answer:
Conditional would have that form.