What is the coordinate of point P on the line segment AB that is 3/4 of the distance from A to B for A(2,5) and B(6,9)?
Answer:
p is (3.71, 6.71)
Step-by-step explanation:
Given that p is at the distance of 3/4 from A to B
it mean that point p divides the line AB into 3:4 ratio.
and
if there are two points (x1,y1) and (x2,y22) which is divided by point p in the ratio m:n then
coordinates of point p (x,y) is given
p (x = (n*x1+m*x2)/m+n , y = (n*y1+m*y2)/m+n )
________________________________________________
Given the points AB
A(2,5)
B(6,9)
m:n = 3:4
thus,
p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )
p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )
p (x = (26/7 , y = 47/7 )
P ( x = 3.71, y = 6.71)
Thus, coordinates of point p is (3.71, 6.71) which is at 3/4 of the distance from A to B for A(2,5) and B(6,9)/
Is it always true that dilations of a triangle are congruent to the original triangle
Answer:
A dilation is a transformation that changes the size but not the shape of a figure. Therefore, the image created by the dilation is not congruent to the pre-image, the original figure; it is similar. ... The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the pre-image.
Step-by-step explanation:
hope this helps ig
the equation y=mx+b is given. solve the equation for b
Answer:
b = y - mx
Step-by-step explanation:
Given
y = mx + b ( isolate b by subtracting mx from both sides )
y - mx = b
Answer:
b=y-mx
Step-by-step explanation:
You need to get b by itself, so you subtract mx.
x 2 +2x−8=
The answer is (x-2) (x+4)
Answer:
x3 - 2x2 - 4x - 10
x
Step-by-step explanation:
i think
what is the value of the expression below 5× (9-3)+7
Answer:
-23x.
Step-by-step explanation:
5x(9 - 3) +7.
5x times 9 = 45.
5x times -3 = -15.
45x - 15 +7.
45x - 15 = 30.
-30 + 7 = -23.
Hope this helps!
Have a good day ma'am/sir.
Be safe!
AABC is isosceles.
AB = 3x - 4 and BC = 5x - 10.
AB = [?]
If AB = BC then set up the equation 3x - 4 = 5x - 10
Subtract 3x.
-4 = 2x - 10
Add 10.
6 = 2x
Divide by 2.
3 = x
AB is 3x - 4 so
3(3) - 4
9 - 4
5.
AB = 5
If AB is not equal to BC then this is not solvable.
But if they are I am sure AB = 5.
Hope this helps
Javier power walks 4 1/4 miles in 2 hours how many miles does he walk in one hour? ANSWER HAS TO BE IMPROPER AND IN SIMPLEST FORM
Polly stacked the tins from five boxes of cat food onto an empty shelf in a supermarket. There were 15 tins of cat food in each box. At the end of the week there were 20 tins left on the shelf. The rest of the tins had been sold. Write the number of boxes of cat food that had been sold, as: (a) A mixed number (b) An improper fraction
Answer:
(a) [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
Step-by-step explanation:
From the question,
Polly stacked the tins from five boxes of cat food onto an empty shelf and there were 15 tins of cat food in each box. That is,
5 × 15 tins of cat food were stacked onto the empty shelf.
5 × 15 = 75
Hence, 75 tins of cat food were stacked onto the empty shelf.
Also, from the question,
At the end of the week there were 20 tins left on the shelf and the rest of the tins had been sold, that is
75 - 20 tins had been sold
75 - 20 = 55
Hence, 55 tins of cat food had been sold.
To determine the number of boxes of cat food that had been sold,
Since there are 15 tins of cat food per box, then
we will divide 55 tins of cat food that had been sold by 15 tins of cat food per box
55 ÷ 15 = [tex]\frac{55}{15}[/tex]
Hence, [tex]\frac{55}{15}[/tex] boxes of cat food had been sold
(a) As a mixed number
[tex]\frac{55}{15} = 3\frac{2}{3}[/tex]
Hence, [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) As an improper fraction
[tex]\frac{55}{15} = \frac{11}{3}[/tex]
Hence, [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
Seven times the difference of triple a number and three
Answer:
21x- 21
Step-by-step explanation:
7 × (x × 3 - 3)
7 × (3x - 3)
21x - 21
I'm not sure if the answer is correct
Suppose y varies directly as x. To solve you will need to find the constant of the
variation, write the equation so you can answer the question. If y = 4 when x = 2,
find y when x = 16.*
Answer:
32
Step-by-step explanation:
Given, y varies directly as x. So, y=kx, where k is the constant of proportionality.
Given, x=2, y=4. plug in the values in the equation.
4=k*2
k=4/2
k=2
x=16
y=2*16
y=32
Which one?
A. B. C. Or D.
Answer:
D
Step-by-step explanation:
Given
a² - 1 = 0 ( add 1 to both sides )
a² = 1 ( take the square root of both sides )
a = ± [tex]\sqrt{1}[/tex] = ± 1
solution is { 1, - 1 } → D
Answer:
D) {1, -1}
Step-by-step explanation:
Please share the instructions for this problem: Solve a^2 - 1 = 0, or find the roots of a^2 - 1 = 0.
Answer D is correct. Try substituting 1 for a, and then -1 for a. In both cases the given equation is true.
What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.
Answer:
Answer given in the photo
Slope point form
passing through (4,-7) with x intercept = -4
Answer:
We start with this equation:
If x intercept is -4 then y = 0 giving us another point (-4, 0)
(4, -7) and (-4, 0)
slope = y difference / x difference = (-7 -0) / (4 --4) =
-7 / 8
Step-by-step explanation:
1) Find mZCDE if m CDK = 110°
and m KDE = 380
E'
TA
To
what’s 10/13 as a decimal rounded to the nearest tenth
Answer:
brainleist plzz
Step-by-step explanation:
Fraction Decimal Percentage
10/13 0.7692 76.92%
A fraction is a way to describe a part of a whole. The value of 10/13 as a decimal rounded to the nearest tenth is 0.8.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The given fraction can be written in decimal form by dividing 10 by 13, therefore, we can write the fraction as,
10/13
= 10 ÷ 13
= 0.76923
Since the number is needed to be rounded off to the nearest tenth, therefore, we need to look at the hundredth term, if that term is more than equal to 5, we will leave the tenth term as it is, while if the hundredth term is more than 5 we will round off the tenth term to the next term.
In this case, the hundredth position is taken by 6, therefore, the tenth term will become 8 from 7.
10/13
= 10 ÷ 13
= 0.76923 ≈ 0.8
Hence, the value of 10/13 as a decimal rounded to the nearest tenth is 0.8.
Learn more about Fraction here:
https://brainly.com/question/1301963
#SPJ2
Please check all that apply.
Answer:
the answers should be the first, third, and fourth ones
Step-by-step explanation:
Answer:
first third fourth
Step-by-step explanation:
I think
which graphs represent functions?? please help me
Answer:
graph D
Step-by-step explanation:
If you want to figure out if a graph is a function, try the vertical line test
The vertical line test is when you are able to draw a vertical line on any point of the graph, and the line you have drawn will only pass through the graph once. if it passes the graph more than one time, it is not a function
if ray XV is parallel to line LR, measurement of angle 2 = 2n-4 and measurement of angle 3 = n+1. find the value of n.
I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.
Answer:
n=31°
Step-by-step explanation:
If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.
We can see that angles 2 and 3 form a right angle, or:
[tex]m\angle 2 + m\angle 3=90^\circ[/tex]
We are also given that:
[tex]m\angle 2=2n-4[/tex]
[tex]m\angle 3=n+1[/tex]
Substituting (get rid of the units):
[tex]2n-4+n+1=90[/tex]
Joining like terms:
[tex]3n-3=90[/tex]
Adding 3:
[tex]3n=90+3=93[/tex]
Solving:
[tex]n=93/3[/tex]
n=31°
$1000, 2%, 9 months what is the simple interest
Answer:
principal =1000
time=9
rate=2%
or simple interest = p×t×r/100
= 1000×9×2
=Rs.18000
Answer:
$180
Step-by-step explanation:
Turn 2% to 0.02 then make the formula
1,000*0.02*9=180
Please find the locator point (h, k) of the function
y=-(x+2)^3-5
Lin and Diego both ran for 10 seconds, each at their own constant speed. Lin ran 40meters and Diego ran 55 meters.
How far did each person move in 1 second?
Answer: 2
Step-by-step explanation:
what is the answer to this?
The cubed root of -512 is 8.
The width, w, of a rectangular pool is 15 feet. The area of the rectangular pool is no more than 75
square feet. Which inequality represents all possible lengths of the pool?
Answer:
1. W=15 L=5 or W=5 L=15.
Step-by-step explanation:
suppose that there were a positive correlation between the variables u and v. if v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?
Answer: 48
Step-by-step explanation: I got it wrong and it said the correct answer was 48
What does the x intercept represent?
Answer:
the x intercept is the y and x combined together crossing each other
find the sum of the series 9+3+1+........+1/27
Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
Tell me a cool, fun fact, best fact gets. Brainliest
Answer:
The moon has moonquakes.
Step-by-step explanation:
The heads on Easter Island have bodies.
For lunch, students may choose one pasta () or chicken (G, The side choices are salad (5) or fruit (1) drink, ane entree, and one side. The drink choices are milk (M) or juice ). The entrée choices are which table shows al of the possible hunch combinations 7 Drink Entire side P OA Drink Entrée p P с Drink Entire P P M Side 5 Lunch Combination Ос 2 4. B. 1 Drink Entire Side N 5 P. C Lunch Combination 2 1 2 Side F Lunch Combination 5 7 с P P с Lunch Combination
Answer:
Step-by-step explanation: :) answer b
Answer:
The answer is D
Step-by-step explanation:it shows all 8 possible combinations
Two similar solids are shown A and B
A=3cm B=6cm
Solid A has a volume of 60cm cubed
Work out the volume of solid B
Answer:
120 cm³Step-by-step explanation:
this is a ratio and proportion of two similar solids
vol A = 60 cm³ and A = 3cm
vol B = ? and B = 6 cm
60 = 3
B 6
do cross multiply:
3B = 60(6)
B = 120 cm³
therefore, the vo. of B is 120 cm³
five billion, seventy three thousand
Answer:
5,000,073,000
Step-by-step explanation: