The x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is (85, 105).
Given
On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).
CoordinatesThe coordinates point any point can be found by using the following formula.
[tex]\rm X=\dfrac{m}{m+n}(x_2-x_1)+x_1\\\\ Y=\dfrac{m}{m+n}(y_2-y_1)+y_1[/tex]
The x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is;
[tex]\rm X=\dfrac{m}{m+n}(x_2-x_1)+x_1\\\\ X = \dfrac{3}{3+5}(-40-160)+160\\\\ X = 3 \times (-25)+160\\\\\X = -75+160\\\\ X = 85\\\\\ Y=\dfrac{m}{m+n}(y_2-y_1)+y_1\\\\ Y=\dfrac{3}{3+5}(80-120)+120\\\\Y =- 3\times 5 +`120\\\\Y=-15+120\\\\Y=105[/tex]
Hence, the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is (85, 105).
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Answer:
B
Step-by-step explanation:
If f(–5) = 0, what are all the factors of the function f (x ) = x cubed minus 19 x 30? Use the Remainder Theorem. (x – 2)(x 5)(x – 3) (x 2)(x – 5)(x 3) (x – 2)(x 5) (x 2)(x – 5).
Answer:
A. (x – 2)(x + 5)(x – 3) on edg
Step-by-step explanation:
Took the test
When a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial. The factors of x³-5x+6 are (x+5)(x-2)(x-3).
What is the Remainder theorem?According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.
Since f(–5) = 0, therefore, (x+5) is a factor of the polynomial f(x).
[tex]\dfrac{x^3-19x+30}{x+5} = x^2-5x+6[/tex]
Now, x² -5x + 6 can be factorised as,
x² - 5x + 6
x² - 2x - 3x + 6
x(x-2) -3 (x-2)
(x-2)(x-3)
Hence, the factors of x³-5x+6 are (x+5)(x-2)(x-3).
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Find the unit vector in the direction of (-2, 7).
Lets name the vector V: (-2,7)
U which is the unit vector is
[tex]u = \frac{V}{||V||} = \frac{(-2,7)}{\sqrt{(-2)^{2} +(7^2)} } } = \frac{1}{\sqrt{53} } (-2,7) = (\frac{-2}{\sqrt{51} } ,\frac{7}{\sqrt{51} } )[/tex]
Hope that helps!
what is 12-33/4 to iready
Answer:
3.75
Step-by-step explanation:
12 - 33/4
= 3.75
How many triangles can be constructed with angles measuring 50ş, 90ş, and 40ş?.
What is the midpoint of the segment shown below?
A. (2, -3)
O B. (1,-})
O c. (2,-})
C D. (1, -3)
Answer:
B. (1, -3/2)
Step-by-step explanation:
Midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2
What type of number is 0.55/0.55
Answer:
Whole number
Step-by-step explanation:
Whole number because it equals one and one is a whole number.
What is an equation of the line that passes through the points (8,0) and (3,-5)?
Answer:
y = x - 8
Step-by-step explanation:
You want an equation for the line through the points (8, 0) and (3, -5).
SlopeThe slope of the line can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-5 -0)/(3 -8) = -5/-5 = 1
InterceptThe y-intercept can be found from the equation ...
b = y1 -m(x1)
b = 0 -1(8) = -8
Slope-intercept equationThe slope-intercept equation of the line is ...
y = mx +b
y = 1·x +(-8)
y = x -8 . . . . . an equation for the line
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H(n)=n+2
g(n) = 2n + 1
Find h(n) − g(n)
Answer:
-n + 1
Step-by-step explanation:
(n + 2) - (2n + 1)
n + 2 - 2n - 1
-n + 1
Answer:
[tex] \sf \: -n + 1 [/tex]
Step-by-step explanation:
Given information,
→ h(n) = n + 2
→ g(n) = 2n + 1
Now we have to,
→ find the value of h(n) - g(n).
Then required value will be,
→ h(n) - g(n)
→ (n + 2) - (2n + 1)
→ n + 2 - 2n - 1
→ (n - 2n) + (2 - 1)
→ (-n) + (1)
→ -n + 1
Hence, the value is -n + 1.
Select the correct answer. Brianna begins the construction of square EGFH inscribed in circle C by drawing GH, a diameter of the circle that is also a diagonal of the square. Next, she plans to use a compass to construct a perpendicular bisector of GH and mark points E and F at the intersections of the arcs she used to find the bisector. What error, if any, is Brianna making? A. She is not making any errors. B. She should name the diameter she first drew EG and name the new segment FH. C. She should use the compass to find the perpendicular bisector of GC instead of GH. D. She should define points E and F as where the perpendicular bisector of GH intersects the circle. Reset Next
Answer:
B. "She should name the diameter she first drew EG and name the new segment FH."
Step-by-step explanation:
Please solve the equation in the image shown below
Answer:
h = 6.71
Step-by-step explanation:
6^2 + b^2 = 9^2
36 + b^2 = 81
36 - 36 = 0
81 - 36 = 45
b^2 = 45
square root of 45
b = 6.71
Which ratio best defines relative frequency? Number of nonfavorable outcomes:Number of possible outcomes Number of possible outcomes:Number of nonfavorable outcomes Total number of times an experiment is performed:Number of times an event occurs Number of times an event occurs:Total number of times an experiment is performed.
The ratio which best defines relative frequency is, number of times an event occurs:Total number of times an experiment is performed.
What is relative frequency?Relative frequency of a event is the measure of something happens relative to the total outcomes of that event.
The relative frequency can be given as,
[tex]f_r=\dfrac{f}{n}[/tex]
Here, (f) is the frequency of the number of times data occurred in an event and (n) is the total number of outcomes.
The relative frequency can also be defined as, it is the ratio of subgroup frequency to the total frequency of any event.
Now, the ratio has to be find out which best defines relative frequency. Lets check options,
Number of non-favorable outcomes:Number of possible outcomes-Here, the non-favorable outcomes is asked but for the relative frequency the favorable outcomes is considered. Number of possible outcomes:Number of non-favorable outcomes-The number of total outcomes is considered for a relative frequency. Total number of times an experiment is performed:Number of times an event occurs-This ratio is inverse as the ratio of relative frequency.Number of times an event occurs:Total number of times an experiment is performed-This is the correct option, as it justify the definition of the relative frequency.Hence, the ratio which best defines relative frequency is, number of times an event occurs:Total number of times an experiment is performed.
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Answer:
To sum out whatever they said the answer is D
Step-by-step explanation:
All credit to the guy on top
The pentagons ABCDE and JKLMN are similar. Find the length x of JK .
WILL GIVE 50 POINTS TO WHOEVER ANSWERS
Ratio remains same
[tex]\\ \rm\Rrightarrow \dfrac{x}{3.2}=\dfrac{2}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{x}{3.2}=\dfrac{1}{2}[/tex]
[tex]\\ \rm\Rrightarrow x=3.2/2[/tex]
[tex]\\ \rm\Rrightarrow x=1.6[/tex]
What is 3(2x -5) + 10 ≥ 25?
An explanation would be thanked and also given brainlyist (づ￣ 3￣)づ
Answer:
x>_5
Step-by-step explanation:
distribute ---> 6x-15+10_>_25... add 5 to both sides 6x_>_ 30... then divide by 6... x>_5
Consider a tire with a radius of 9 inches that is rolled 150 revolutions and travels
approximately 8,482 inches.
The tire with radius of 6 inches when rolled 150 revolutions travels approximately 5654 inches.
Equation
An equation is an expression that shows the relationship between two or more numbers and variables.
A tire with a radius of 9 inches that is rolled 150 revolutions and travels approximately 8,482 inches.
For a tire with radius r and that is rolled 150 revolutions and travels approximately 5654 inches:
9/8482 = r/5654
r = 6 inches
The tire with radius of 6 inches when rolled 150 revolutions travels approximately 5654 inches.
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p: x is an even number. If x = 3, then ~p is true or false
helpppp
Answer:
False
Step-by-step explanation:
2,4,6,8,10,12, ETC
a cone has a volume of 150.72 cubic millimeters and a height of 9 millimeters what is the radius
The volume of a cone is the amount of space in the cone
The radius of the cone is 4.00 millimeters
How to determine the radiusThe given parameters are:
Volume = 150.72 cubic mL
Height = 9 mL
The volume of a cone is calculated as:
[tex]V = \frac 13 \pi r^2h[/tex]
So, we have:
[tex]150.72 = \frac 13 \pi * r^2 * 9[/tex]
Divide
[tex]150.72 = \pi * r^2 * 3[/tex]
Divide both sides by 3
[tex]50.24 = \pi * r^2[/tex]
Rewrite the equation
[tex]50.24 = \frac{22}{7} * r^2[/tex]
Solve for r^2
[tex]r^2 = 50.24 * \frac{7}{22}[/tex]
Solve for r
[tex]r = 4.00[/tex]
Hence, the radius of the cone is 4.00 millimeters
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The sum of two numbers is 75. Their difference is 25. What are the two numbers?
Show all work
Answer:
50 and 25
Step-by-step explanation:
y+x=75
y-x=25
y+y=yx and x-x eliminate itself
so now we have the operation 2y= 50, I got the 50 from substrating 25 from 75
now found the value of y, 50/2=25
so y=25
now plug the number in
25+x=75
75-25=50
so x= 50
A scale on a map shows that 1 inch = 25 miles. How many inches on the map represent 100 miles? *
Answer:
4 inches
Step-by-step explanation:
Every 25 miles the map shows 1 inch
100 miles is equal to 4 x 25 miles, thus 100 miles on the map will be 4 times longer than 1 inch => 4 inches
What is the value of X
I'll give brainliest to the first one correct
Answer:
x=28.3
Step-by-step explanation:
Find the diameter when the radius is 2
Answer:
4
Step-by-step explanation:
The diameter is 2 times the radius.
radius = 2
diameter = 2 × 2 = 4
Answer: 4
Hakeem puts $53 from each paycheck into his savings account. He gets paid every two weeks or 26 times per year. His goal is to save $1,300 this year
Step-by-step explanation:
53×26=1378. hence if hakeem saves $1300 he still has about $78.
HELP ASAP
what is the range of the data set 53,13,3441,26,61,,34,13,69
13
69
56
53
Answer:
Step-by-step explanation:
Range = Maximum value - minimum value
= 69 - 13
= 56
you have 120 red beads, loo white beads, and 45 blue beads. you want to use all the beads to make a bracelet that has red, white and blue beads on each. What is the greatest number of matching beads you can make?
Answer:
24 bracelets can be made from given beads.
● Explanation -To make similar bracelets using all the beads, we have to find the highest common factor of no of beads.Now, Factors of 72 => 1, 2, 3, 4, 6, 8 , 9, 12, 18, 24, 36, 72Factors of 192 => 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192Factors of 120 => 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120HCF => 24Observing this data, HCF of 72, 192 & 120 will be 24.Therefore, total 24 bracelets can be made from given beads.* Each bracelet will have 3 red, 8 blue and 5 white beads.
lol pls help me lol. I need to get this test done in like 10-20 minutes. I will give brainlyest.
Which number is not in scientific notation? (1 point)
A.) 7 • 1024
B.) 0.8 • 103
C.) 1.09 • 10–2
D.) 1.8 • 10–5
1. Two containers are being filled with water. One begins with 10 gallons of water and is filled at a rate of 2.5 gallons per minute. The other begins with 24 gallons and is filed at 2.25 gallons per
minute.
Part A: Write an equation that represents the amount of water w, in gallons, with respect to time t, in minutes, for each container
Part B: Solve the system of equations. Show your work
Part C: How long would it take for both of the containers to have the same amount of water? How much water would be in each container?
Answer: PART A:
w-3.5 t=8
w-3.25t=24
PART B:
t=64
and w= 232
PART C:
It will take 64 minutes for both of the containers to have the same amount of water.
The amount of water in each container is:
232 gallons.
Step-by-step explanation:
PART A:
Let the water is filling in 't' minutes.
and 'w' denotes the amount of water in the container.
for container 1:
One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute.
The equation is given by:
or
for container 2:
The other begins with 24 gallons and is filled at 3.25 gallons per minute.
The equation is given by:
or
PART B:
on solving equation (1) and equation (2) by method of elimination we get:
subtract equation (2) by equation (1) to obtain:
t=64
and putting the value of t in equation (1) to obtain:
w= 232
PART C:
Hence it will take 64 minutes for both of the containers to have the same amount of water.
The amount of water in each container is:
232 gallons.
Step-by-step explanation:
What is... 6x-(3x)+x-6?
Answer:
2(2x-3)
Step-by-step explanation:
This poster announces a special meeting. Who would have most likely put up this poster?
A. A plantation owner
B. A slave trader
C. A southern politician
D. An abolitionist
Answer:
an abolitionist
Step-by-step explanation:
a person who favors the abolition of a practice or institution, especially capital punishment or
Answer: D An Abolitionist
Step-by-step explanation:
a person who favors the abolition of a practice or institution, especially capital punishment or (formerly) slavery
pls give me brainlest <3
4 x 5-10 - 2 (1-2) + 5=
Answer:
[tex]17[/tex]
Step-by-step explanation:
[tex]4\cdot \:5-10-2\left(1-2\right)+5[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]=4\cdot \:5-10-2\left(-1\right)+5[/tex]
[tex]=20-10-2\left(-1\right)+5[/tex]
[tex]=20-10-\left(-2\right)+5[/tex]
[tex]20-10=10[/tex]
[tex]=10-\left(-2\right)+5[/tex]
[tex]-\left(-2\right)=+2[/tex]
[tex]=10+2+5[/tex]
[tex]10+2=12[/tex]
[tex]=12+5[/tex]
[tex]12+5=17[/tex]
[tex]=17[/tex]
The 225 students who passed all of their classes on the last report card will attend a one-hour Friday Fun-Day sponsored by the Parent-Teacher
Organization (PTO). A variety of activities and snacks will be provided and students will receive one prize. A random survey of 50 students was
conducted to determine how many of each prize should be purchased for the Friday Fun-Day. The results of the survey are shown.
• 28 students want a slime kit.
• 12 students want a basketball.
• 6 students want a jewelry bead kit.
• 4 students want an artist sketch pad and pencil set.
Problem
Based on the survey results, which of these is NOT a valid prediction of the prizes wanted by the 225 students?
A There are 126 students who want a slime kit.
B There are 36 fewer students that want an artist sketch pad and pencil set than a basketball.
C There are 71 students who want either a basketball or a jewelry bead kit.
D There are 27 more students who want a slime kit than all the other prizes combined.
Answer:
C. is incorrect.
Step-by-step explanation:
Calculate the percentages for each prize desired by the 50 students responding in the sample survey. See the attached image for this calculation. Multiply these percentages times the total student body of 225 students to determine the likely selection for each prize (on the attachment).
A. is correct (126 students)
B. is correct
C. is incorrect. The total is (54 + 27) = 83
D. is true
Is it impossible for a triangle to be both right and acute
