Answer:
A. (2, 10)
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on a coordinates plane then
coordinates of the midpoint is given by (x1+x2)/2, (y1+y2)/2
__________________________________________________
Given
one endpoint is (–6, 4) and midpoint is (–2, 7)
let coordinates of other endpoint be (x,y)
now if one endpoint is (–6, 4) and other endpoint is (x,y)
then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)
while the coordinates of midpoint given is (–2, 7)
thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)
-2 = (-6+x)/2 and 7 = (4+y)/2
=> -2*2 = -6+x => 7*2 = 4+y
=> -4 = -6+x => 14 = 4+y
=> -4+6 = x => 14-4 = y
=> x = 2 => 10 = y
Thus, coordinates of the other endpoint is(2,10)
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
PLEASE HELP AGAIN, SORRY I SUCK AT MATH.
Answer:
C. 24 degrees
Step-by-step explanation:
All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.
120+36=156
Then subtract the sum of the known angles from 180 to find the degree of the unknown angle
180-156=24
Answer: C
Step-by-step explanation:
I'll explain why.
The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.
The sum of the angles (x+36+120) must be equal to 180 (=180)
x+36+120=180
Combine like terms
x+156=180
Subtract 156 to isolate x
x=180-156
x=24
2/3 divided by 1 1/2
Answer: 0.4
Step-by-step explanation:
Math question down below
Answer:
24
Step-by-step explanation:
1 US Gallon = 8 US Pints
3 US Gallons = 24 US Pints
Find the missing angle.
Answer:
127
Step-by-step explanation:
Answer:
x= 127 degrees
Step-by-step explanation:
use the vertical angles theorem to say that x=90*+37*. So, x=127 degrees.
math question down below screen shot
Answer:
the screen shoy isnt showing up
Step-by-step explanation:
(09.01 LC))
For f(x) = x2 and g(x)=(x-3)2, in which direction and by how many units should f(x) be
shifted to obtain g(x)? (5 points)
Answer:
3 units to the right
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift of a units to the left
• If a < 0 then a shift of a units to the right
Thus
g(x) = (x - 3)² is f(x) shifted to the right by 3 units
Writing What is the diameter of a circle with a circumference of 11.277 ft? Use pencil and paper.
The diameter is
ft.
I hope this helps you
Help me asap I’m turning this in late please hep
Answer:
The answer is 27 If not please correct me!
Answer:
27
Step-by-step explanation:
You need to plug 100 in for m and multiply that. Then you need to add 7 to 20 to get your answer.
Hope this help.
can someone help me please?
Answer:
(10,11)
(8,7)
(6,3)
(4,-1)
(2,-5)
(0,-9)
(-2,-13)
(-4,-17)
Answer: the image of how its supposed to be graphed is listed down below! hope this helped!
Step-by-step explanation:
The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
Please Answer ASAP!
Subtracting a number is the same as adding its opposite. Use this understanding to complete each of the equations below.
Enter numbers to evaluate ‐13−23.
‐13−23= ‐13 + ___
= ___
Enter numbers to evaluate ‐13−(‐23).
‐13−(‐23)= ‐13 + ____
= _____
Step-by-step explanation:
-13 - 23 = -13 + (-23)
= -36
-13 - (-23) = -13 + 23
= 10
Answer:
Step-by-step explanation:
-13 - 23 = -13 + (-23)
= -36
-13 - (-23) = -13 + 23
=10
What is the measure of ∠4?
A continental breakfast has a choice of toast, muffin, or a bagel AND a choice of coffee, milk or apple juice. How many possible outcomes are there?
There are an unknown number of possible outcomes. To figure this out all we need to do is multiply the amount of options per category to get the number of possible combinations.
In this case, there are 3 choices of food items and 3 choices of drinks.
Therefore, we need to multiply 3 by 3 to get the combinations.
3 times 3 equals 9
In conclusion, there are 9 possible combinations to be made from the choices presented.
Answer:
there are 12 possible outcomes
Step-by-step explanation:
help please, what is the the perimeter of the figure to the nearest hundredth.
Answer:
100
Step-by-step explanation:
A functiom is graphed on the coordinate plane.
What is the value of the function when x=4?
Answer: The answer is 2. Go open of the x line 2 then it lines up with the y.
Answer:
I thought it was 1
Step-by-step explanation:
Frank will paint a wall that measures 10 feet by 14 feet what is the area of the wall that frank will paint
Answer:
140 ft squared
Step-by-step explanation:
Answer:
140 ft
Step-by-step explanation:
10 × 14 = 140 so the answer is 140 ft
two consecutive integers whose product is 17
Answer:
8 and 9
Step-by-step explanation:
8 comes after 9 and 8 + 9 = 17
Ying Zyiyu covered the first 300 miles of a trip going at 60 mph and the last hundred going at 40 mph. What was his average speed for the entire trip?
NEED IN 5 MINUTES
Answer:
Average speed is (total distance)/(total time).
To find the total time we need to do some division.
Time for 200 miles=200/50=4 hours.
Time for 100=100/40=5/2 hours.
Total time=13/2 hours. Total distance=200+100=300 miles.
Av speed=300/(13/2)=300×2/13=600/13=46.15 mph approx.
Evaluate (if possible) the six trigonometri
trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.)
t= 4π/3
Answer:
undefined
Step-by-step explanation:
A man has 1/4 of a kilogram of couscous. He shared them equally among 2 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
I got an answer that felt way off... I just need to make sure I'm right!
Answer:
1/8 maybe
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
Which graph represents the function f(x) =1/3 |x|?
Step-by-step explanation:
f(x) = 1/3|x|
then
f(x) = 1/3x , if x ≥ 0
and
f(x) = -1/3x , if x ≤ 0
the slope of f(x) = 1/3x is 1/3
the slope of f(x) = -1/3x is -1/3
this two above conditions apply on to the fourth graph to the right.
Which statement is true?
Answer:
all parallelograms are rectangles
Step-by-step explanation:
the have 2 sets of parallel lines that are equal in length
Does choosing a blue marble represent the complement event of choosing a red marble? Explain.
Answer:
No, the probability of choosing a red marble is not the complement of choosing a blue marble.
P(red) + P(blue) = 3/5, not 1.
The number of blue and red marbles does not add to the total number of outcomes.
There are other marbles besides red ones and blue ones.
Step-by-step explanation:
i got it right.
Answer:
The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.
Fine the slope of a line parallel to y=-2/5x+4/5
5/2
2/5
-5/2
-2/5
Answer:
-2/5
Step-by-step explanation:
Parallel lines have the same slope to each other. So if one line has a slope of -2/5, the line parallel to it will also have a slope of -2/5.
Hope this helps!
Answer:
-2/5
Step-by-step explanation:
The slope of the parallel line is going to be the same as the original line.
Which description best compared the graph of the two functions below?
Answer:
The description that best compares the graph of the two function is:
The line for function A is steeper.
Step-by-step explanation:
Answer:
The line for function a is a steeper
Step-by-step explanation:
If AQSR - AYXZ describes two triangles, which other statement is also true?
Answer:
RSQA ~ ZXYA
Step-by-step explanation:
Help plz!!!!! I need help
Answer: J and K
Step-by-step explanation:
[tex]\sqrt{20}[/tex] is about [tex]4.472135[/tex]
Answer:
J and K
Step-by-step explanation:
√20=4.47
4.47 is almost in between J and K in the number line.
Hence, it's J and K.
WILL MARK BRAINLIEST!!! OWO
Answer:
G equilateral
Step-by-step explanation:
scalene = all the sides of the triangle are not equal
isosceles = two sides of the triangle is equal
Answer should be equilateral = All the sides of the triangle is equal.
F H J are not describing any triangle.
Answer:G equilateral
Step-by-step explanation:
^///^
|5−4r|=17
Can someone answer this question for me?? I will mark you brainliest if you get the correct answer!!
Answer:
R=-3 which is the same thing as 11/2
Step-by-step explanation:
Answer:
r=−3,11/2
Step-by-step explanation:
thats what I got
Which statement best describes the function represented by the graph?
Answer:
Step-by-step explanation:
You read a graph from left to right, just like you would read words on a page in a book. At the left-most "side" of this graph, we are way up at positive infinity. As we move from left to right, the graph begins to drop in y values. A drop in y values indicates a decreasing graph. So it's decreasing, we have that part. As the graph grows up into y values that increase forever, it will also grow in the x direction to negative infinity. As the graph decreases in y values from left to right, the x values increase into positive infinity. So your choice is the second one: The function is decreasing on the interval (-∞, ∞).
Answer:
It's B
Step-by-step explanation:
