Step-by-step explanation:
Let (x, y) be the coordinates of point B.
(4, 6) => (-2, 4) => (x, y)
We have 2(-2) = 4 + x and 2(4) = 6 + y.
Solving these, we get x = -8 and y = 2.
Hence the coordinates of point B is (-8, 2).
Point Q is the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). Hence the coordinates of point B will be (-8, 2).
What are the coordinates of the midpoint of the line segment AB?Suppose we've two endpoints of a line segment as:
A (p,q), and B (m,n)
Then let the midpoint be M(x,y) on that line segment.
Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}[/tex]
and
[tex]y = \dfrac{q+n}{2}[/tex]
Let (x, y) be the coordinates of point B.
Q has coordinates of (-2, 4).
A has coordinates of (4,6).
A (p,q) = (4, 6)
M(x,y)= (-2, 4)
B = (x, y)
We have
2(-2) = 4 + x
2(4) = 6 + y.
Solving these, we get
x = -8 and y = 2.
Hence the coordinates of point B will be (-8, 2).
Learn more about midpoint here;
https://brainly.com/question/7358842
#SPJ2
What is the solution to the system of equations graphed below?
O(-5, 1)
O (1,-5)
O (3, -4)
O(4,3)
C
Step-by-step explanation:
Graphs are simple I would know trust me man
Consider p(x)=3x^3+ax+5a, a is an element of the integers.
The polynomial p(x) leaves a remainder of -7 when divided by (x-a). Show that only one value of a satisfies the above condition and state it’s value.
By the remainder theorem,
p(a) = 3a³ + a² + 5a = -7
so that
3a³ + a² + 5a + 7 = 0
Since you know a is an integer, you can try to factorize this, or use the rational root theorem to generate a list of potential rational roots, and from there you'd select the integer roots. The rational ones are of the form m/n, where m divides the constant term 7 and n divides the leading coefficient 3. They are
a = ± 1 or ± 1/3 or ± 7 or ±7/3
so there are 4 integer candidates,
a = -1 or 1 or -7 or 7
Check the value of f(a) = 3a³ + a² + 5a + 7 at each of these:
a = -1 → f(a) = 0
a = 1 → f(a) = 16
a = -7 → f(a) = -1008
a = 7 → f(a) = 1120
and only a = -1 is a root of 3a³ + a² + 5a + 7, so that's your answer. In fact,
3a³ + a² + 5a + 7 = (a + 1) (3a² - 2a + 7)
Find the value of x and the measure of each angle in the parallelogram
Answer:
[tex]\angle D= 162\\\\\angle E = 18\\\\\angle F = 162\\\\\angle G = 18[/tex]
Step-by-step explanation:
By properties of parallelograms we know that opposite are the same so we have
[tex]12x=4(x+3)\\\\4(3x)=4(x+3)\\\\3x=x+3\\\\2x=3\\\\x=\frac{3}{2}[/tex]
so for the angles we have
[tex]\angle G=\angle E=12(\frac{3}{2})=18\\\\\angle D=\angle F = 180-\angle G=180-18=162[/tex]
I need help please!!
Answer:
y=-2x+5
Step-by-step explanation:
thats the equation because you use the formula, y=mx+b. b is the y intercept (the verticle straight line) and m is the slope. hope this helped!!
5) The sides of a quadrilateral are in the ratio 1:2:3:6. The perimeter is 138 cm.
Answer:
The first side is 11.5cm, the second is 11.5cm×2 = 23cm, the third is 11.5cm × 3 = 34.5cm,
and the fourth side is 11.5cm × 6 = 69cm.
Step-by-step explanation:
A quadrilateral is a 4 sided shape, while perimeter is the addition of all the sides of the quadrilateral. Since the sides of the quadrilateral is not stade, assume the sides of the quadrilateral is x, therefore 1:2:3:6 = x:2x:3x:6x. The total ratio is x+2x+3x+6x=12x, therefore 12x= 138 , x = 11.5cm, Therefore the first side is 11.5cm, the second is 11.5cm×2 = 23cm, the third is 11.5cm × 3 = 34.5cm, and the fourth is 11.5cm × 6 = 69cm.
Chef Rita is cooking for a Sunday brunch. She knows that 22 pancakes can feed 8 people. She is wondering how many people (p)(p)left parenthesis, p, right parenthesis she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes.
How many people can Rita feed with 55 pancakes?
Answer:we can solve the problem by setting a simple proportion.
We know that 22 pancakes can feed 8 people, so we have to find the number x which corresponds to the number of people that can be feeded with 55 pancakes:
Solving the proportion, we find
So, 55 pancakes can feed 20 people.
Step-by-step explanation:
Josue tosses a coin and spins the spinner at the right. What are all the possible outcomes?
Answer:
50 50 ?
Step-by-step explanation:
Please help and answer.
Answer:
hi
Step-by-step explanation:
u need help
helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelpvv
Answer:
4.4
Step-by-step explanation:
4.4
Answer:
I think the answer is B) 4.7
Step-by-step explanation:
just to let you know I maybe wrong.
b= 3x + 4g for a = -9 and b = 12
Answer:
B3x+2=32 and 5 with a but b=32c
Step-by-step explanation:
If Tony earns five dollars on Monday and five dollars on Tuesday is that a sum of zero? need help I’m in 4th
Answer:
The sum is $10
Step-by-step explanation:
Since Tony got $5 on Monday and $5 on Tuesday, we can add them together by doing 5+5. We can add 5 and 5 together to get a total of $10 that Tony has earned. This means that it isn't a sum of 0 but a sum of 10.
(hope this helped)
Can anyone answer this geometry question help pls!!
Solve : 4/x-3 + 2/x-2 = 6/x
Answer:
x = [tex]\frac{9}{4}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{4}{x-3} + \frac{2}{x-2} = \frac{6}{x}[/tex]
Finding L.C.M. of (x - 3) and (x - 2)
[tex]\frac{4(x-2) + 2(x-3) }{(x-3)(x-2)} = \frac{6}{x}[/tex]
[tex]\frac{(4x-8) + (2x-6)}{x^{2} - 3x-2x+6}=\frac{6}{x}[/tex]
[tex]\frac{4x-8 +2x-6}{x^{2} -5x +6} = \frac{6}{x}[/tex]
[tex]\frac{6x-14}{x^{2} -5x+6}= \frac{6}{x}[/tex]
Cross multiplying:
x (6x - 14) = 6 (x² - 5x +6)
6x² - 14x = 6x² - 30x + 36
Cancelling 6x² from both the sides:
- 14x = - 30x + 36
30x - 14x = 36
16x = 36
x = [tex]\frac{36}{16}[/tex]
∴ x = [tex]\frac{9}{4}[/tex] or 2.5
The value of y is directly proportional to the value of x. If y = 15 when x = 90, what is the value x when y = 45?
Answer:
y = 45 x = 120
Step-by-step explanation:
90 - 15 = 75
45 + 75 = 120
Pls help I need to finish this
Answer:
Check box 4 and 5
Step-by-step explanation:
We know there can only be up to 2 solutions for a quadratic equation.
5x^2-2x-9=0 is your equation, make sure to move that 1 to the left
Now we can use the quadratic formula
a=5
b= -2
c= -9
x= −1.15647
x=1.55647
Thus I would select the last 2 boxes. Both of them are solutions.
A scatter plot showed a positive correlation for 11 bowlers. As the number of strikes, s, a bowler made in a game increased, the number of points, p, the bowler scores also increased. The equation for the line of best fit for the data is p=25s+40. Estimate the number of strikes made by a bowler with 140 points.
Answer:
s = 4
Step-by-step explanation:
The equation for the line of best fit for the data is p=25s+40.
Where p is no. of points and s is no. fo strikes
We need to find the number of strikes made by a bowler with 140 points.
Put p = 140
p=25s+40
140 = 25s+40
Subtract 40 to both sides,
140-40 = 25s+40-40
100 = 25s
⇒ s = 4
So, there are 4 strikes made by a bowler with 140 points.
A sports team is ordering a new banner to hang over the entrance of their stadium. The banner will be a right triangle where one leg is 33 feet and the other leg is 56 feet. All three edges of the banner will be lined with a ribbon that costs $0.50 per foot. How much will the ribbon cost?
Answer:
The ribbon cost is $77
Step-by-step explanation:
Firstly, we need to get the 3rd side of the triangle
This represents the hypotenuse since we have 2 legs, we need the side connecting the legs
To get this, we use Pythagoras’ theorem
This states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let the hypotenuse be marked x
Thus;
x^2 = 56^2 + 33^2
x^2 = 3136 + 1089
x^2 = 4225
x = square root of 4225
x = 65 feet
So the length of all the sides will be;
56 + 33 + 65 = 154 feet
So the cost of the ribbon will be;
154 feet. * 0.5
= $77
determine the value of x.
Answer: 1) -5.8
Step-by-step explanation:
in order to solve the problem you have to put it together:
9x-5 = 14x+24
then go from there : subtract 24 on both sides , then subtract 9x on both sides , that’ll leave you with : -29 = 5x
so from there we divide , giving us x= -5.8
pls help with this asap
Find the measure of the indicated angle. Round to the nearest tenth of a
degree.
8> -1; Subtract 8 from both sides.
Answer:
0 > -9
Step-by-step explanation:
8 > -1
-8 -8
0 > -9
What is the image of the point (6,7) after a rotation of 90 degrees counterclockwise about the origin
Answer: Note the location of Point C’, the image of Point C after a 90-degree rotation. And this process could be repeated if you wanted to rotation Point C 180 degrees or 270 degrees counterclockwise: Point C after a 180-degree rotatio.
Hope it helps
The new coordinates after rotation will be (-7, 6).
What is mean by Rotation of a Point in X - Y plane?A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.
We have to given that;
A Point on a xy - plane as (6, 7) which is rotated by 90° counter clockwise about the origin.
Now, According to the question, we have;
A point with coordinates = (6, 7)
We know that, Any point (say A[x, y]) when rotated 90° counter clockwise about the origin, then its new coordinates become A'(-y, x).
Hence, By Using this rule, the coordinates of the point after rotation of point by 90° counter clockwise about the origin will be;
⇒ (-7, 6).
Hence, The new coordinates = (-7, 6).
Learn more about the Rotation of points visit;
brainly.com/question/18099572
#SPJ2
I WILL GIVE YOU BRAINLIEST FOR THE CORRECT ANSWERS
1. 25x^(2)-35x+7y-y^(2)
2. a^2+8a+16b-4b^2
3. 9a^2-4b^2-3a+2b
Factor completely
Which math expression means "the sum of 270 and 180"?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Sum means to add so answer A is correct
HELP, I have to turn this in tomorrow ... is this correct??
Answer: yes
Step-by-step explanation:
Choose the method of pay that would result in the most earnings for one month on sales of $40,000. a. Straight commission of 7.5% on all sales. b. Monthly salary of $1,600 plus 2.5% commission on all sales. c. Graduated commission of 5% on the first $30,000 in sales and 6% on anything over that. d. Graduated commission of 4% on the first $25,000 in sales and 8% on anything over that. Please select the best answer from the choices provided A B C D
Answer:
The answer is "Option a".
Step-by-step explanation:
In the question, the answer is 7.5% straight on all revenue because the commission would be a charge the corporation pays to something like a sales representative to help or achieve a sale in return for their services.
Answer:
a.
Step-by-step explanation:
Which equation describes a line with a slope of -1/2 that contains the point (-5, 2)?
A. x + 2y = 1
B. x - 2y = -1
C. x - 2y = 1
D. x + 2y = -1
Answer:
The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2) ⇒ D
Step-by-step explanation:
The slope of the linear equation of the form ax + by = c is m = [tex]\frac{-a}{b}[/tex] , where a and b are integersLet us use this rule to solve the question
The slope of the line is [tex]-\frac{1}{2}[/tex] and the line contains the point (-5, 2)
We want to find which equation has the same slope and contains the point
A.
∵ x + 2y = 1
∴ a = 1 and b = 2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{2}[/tex]
∴ The line has the same slope
→ Let us find if the line contains the point (-5, 2), by substituting x by -5
and y by 2 in the left side of the equation if the answer equals
the right side, then the line contains it
∵ L.S = -5 + 2(2) = -5 + 4 = -1
∵ R.S = 1
∴ L.S ≠ R.S
∴ The line does not contain the point (-5, 2)
B.
∵ x - 2y = -1
∴ a = 1 and b = -2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
∴ The line does not have the same slope
C.
∵ x - 2y = 1
∴ a = 1 and b = -2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
∴ The line does not have the same slope
D.
∵ x + 2y = -1
∴ a = 1 and b = 2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{2}[/tex]
∴ The line has the same slope
→ Substitute x by -5 and y by 2 in the left side
∵ L.S = -5 + 2(2) = -5 + 4 = -1
∵ R.S = -1
∴ L.S = R.S
∴ The line contains the point (-5, 2)
The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2)
Which fraction and decimal forms match the long division problem 15 divided by 4.000
Answer: I would think the answer is C
Step-by-step explanation: 4 divided by 15 is 0.26666667
What’s the answer? True or false
Answer:
True because it is true thank U
Anyone? If you know it can you please help mee if you maybe know it please comment thanks I appreciate you all <:)
Answer:
Answer is 159
Step-by-step explanation:
Use PEMDAS
First, solve paranthesis
10² + 8² - 5
Then from left to right, solve the exponents
100 + 8² - 5
100 + 64 - 5
Then, add
164 - 5
Subtract
159
Answer:
=159
Step-by-step explanation:
10^2 + (3+5)^2 - 5
10^2 = 10 x 10 = 100
100+ (3+5) (3+5) - 5
100+(8)(8)-5
100+64-5
164-5
=159
Hope this helps! :)