Answers
Answer:
T (6, 5 )
Step-by-step explanation:
Using the section formula
If (x₁, y₁ ) and (x₂, y₂ ) are divided in the ratio m : n , then
( [tex]\frac{nx_{1}+mx_{2} }{m+n}[/tex] , [tex]\frac{ny_{1}+my_{2} }{m+n}[/tex] ) are the coordinates of the internal point
Here (x₁, y₁ ) = A (- 4, 10 ) , (x₂, y₂ ) = B (10, 3) , m : n = 5 : 2
T = ([tex]\frac{2(-4)+5(10)}{5+2}[/tex] , [tex]\frac{2(10)+5(3)}{5+2}[/tex] )
= [tex]\frac{-8+50}{7}[/tex] , [tex]\frac{20+15}{7}[/tex] )
= [tex]\frac{42}{7}[/tex] , [tex]\frac{35}{7}[/tex] )
= (6, 5 )
Related Questions
A truck can be rented from Company A for $140 a day plus $0.80 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answers
Answer:
600 miles in a day.
Step-by-step explanation:
Variable x = number of miles
Company A: 140 + 0.80x
Company B: 80 + 0.90x
Set up an equation:
140 + 0.80x = 80 + 0.90x
Isolate variable x:
60 + 0.80x = 0.90x
60 = 0.10x
600 = x
Check your work:
140 + 0.80(600) = 80 + 0.90(600)
140 + 480 = 80 + 540
620 = 620
Correct!
what is the vaule of 11a+2(3a+4b)-5b for a=6 and b=-2
Answers
Answer:
96
Step-by-step explanation:
a= 6 b = - 2
So just subsitute all the a and b into the number they gave
11(6) + 2(3(6)+4(-2)) - 5(-2)
66+ 2(10) +10
66+20+10
96
Just be careful with your positive and negatives
solve this problem I am not able to solve this please help me
Answers
Answer:
4/5
Step-by-step explanation:
What a unique handwriting you have there. Anyways for this types of questions you just have to imagine a right-angled triangle and write down the values and an angle (2A).
First, to find height of the triangle, you can try using Pythagorean theorem, √(5²-3²) and you'll get the value 4.
Remember the formula,
sin a = opposite/hypothenuse.
Substitute the values in,
sin 2A = 4/5
H. Pete wants a new truck. The sale price is 15% lower than the original price. The sale price is $20,000. Write and evaluate an expression for the original price Uses for sale price and p for original price. L. Emma Lee needs a new road bike. The sale price is 10% lower than the original price. The sale price is $450. Write and evaluate an expression for the original price, Uses for sale price and p for original price. J. You can find the distance in feet that an object falls in t seconds using the expression 1612. If you drop a ball from a tall building, how far does the ball fall in 5 seconds?
Answers
100-15=85%=SP
[tex]\\ \sf\longmapsto 85\%\times x=20000[/tex]
[tex]\\ \sf\longmapsto \dfrac{85}{100}x=20000[/tex]
[tex]\\ \sf\longmapsto x=20000\times \dfrac{100}{85}[/tex]
[tex]\\ \sf\longmapsto x=235.2(100)[/tex]
[tex]\\ \sf\longmapsto CP=23520[/tex]
Solution:-2SP=450Discount=10%CP=?100-10=90%=SP
[tex]\\ \sf\longmapsto 90\%\times x=450[/tex]
[tex]\\ \sf\longmapsto \dfrac{90}{100}x=450[/tex]
[tex]\\ \sf\longmapsto x=450\times \dfrac{100}{90}[/tex]
[tex]\\ \sf\longmapsto x=5(100)[/tex]
[tex]\\ \sf\longmapsto CP=500[/tex]
Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (- 5, - 7); m = 1/3
Answers
Answer:
y + 7 = 1/3 (x + 5)
Step-by-step explanation:
The format for writing a point-slope equation is: y - y1 = m(x - x1).
Step-by-step explanation:
[tex]y - y1 = m(x - x1)[/tex]
where, m = 1/3, x1 = -5 and y1 = -7
[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]
[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]
[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]
[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]
[tex]y = \frac{1}{3} (x + 26)[/tex]
Find the H.C.F of 32, 48 and 64
Answers
Answer:
Step-by-step explanation:
Factor into primes
32: 2*2*2*2*2
48: 2*2*2*2*3
64: 2*2*2*2*2*2
The highest common factor is 2*2*2*2 = 16
solve the following pair of simultaneous equations. you can use any 3 methods. 2x- y= 5, x+2y=5.
Answers
Answer:
2x-y= 5, x + 2y=5
Step-by-step explanation:
x = 3, y = 1
The smallest circle in the figure has a radius of 2 inches. Which equation gives the area A of the shaded part of the figure? Recall that A = (pi)r^2
Answers
Answer:
60π in²
Step-by-step explanation:
Inner Circle:
r = 2 in
Area of inner circle = πr²
= π* 2 * 2
= 4π in²
Middle circle:
r = 6 + 2 = 8 in
Area of middle circle = π * 8 * 8
= 64π in²
Area of shaded region = area of middle circle -area of inner circle
= 64π - 4π
= 60π in²
Answer:
A = 60pi
Step-by-step explanation:
the radius of the smallest circle is 2 inches so that would give us an area of 4pi. the distance in the shaded part is 6 inches, since we're wanting to find the area of the shaded part, we'll add the radius of the smallest circle, 2 inches, and add it to the length of the shaded circle, 6 inches, to get a radius of 8 inches. plug 8 inches into the formula and youll get 64pi then subtract the 4pi from 64pi and youll get 60pi, which is the area of the shaded part of a circle.
Simplify the answer has to be a positive exponent Please help!
Answers
5^4 /5
Use the exponent rule x^a/x^b = x^a-b
5^4/5 = 5^4-1 = 5^3
Answer as a positive exponent is 5^3
Need awnsers please
Answers
Answer:
<C+83=90 [ sum of complementary angles ]
<C=90-83
<C=7
Now,
<C+83=180 [ sum of supplementary angles ]
<C=180-83
<C=97
f(4) =
If g(x) = 2, x =
Answers
Answer:
f(4)=-10
x=0 if g(x)=2
i hope you will understand it
please help easy maths
Answers
Answer:
option D
Step-by-step explanation:
y-intercept=-8
point(0,-8)
m=4
Using point slope form:
y-y1=m(x-x1)
y-(-8)=4(x-0)
y+8=4x
y=4x-8
Madison is starting her own sewing business. Madison thinks she will do a better job than her competitors, so she thinks she can charge $13.63 per hour. If she knows she will only be able to work 50 hours per week, how much money will she earn each week?
Answers
Answer:
$681.50
Step-by-step explanation:
$13.63 x 50 = $ 681.50
how I do this plzz help
Answers
Answer:
I also don't know because I did not read this chapter
Answer:
yes how can we do this i am also confusing
A rectangle has an area of 48cm^2 & a perimeter of 38cm. What are the dimensions of the rectangle?
(If you can answer this, I'll give u Brainliest :])
Answers
C............... .......
Answer:
10 is your answer
Step-by-step explanation:
I would love brainliest, thanks!
Given the equation 5x + 23 = - 2x - 12, which order of operations completely solves for x? (1 point)
O Add 2x, then subtrost 23, lastly divide by - 7
Subtract 2x, then add -23, lastly divide by 7
O
Subtract 5x, then add 12, lastly divide by 7
Subtract 5x, then add 12, lastly divide by - 7
4.(01.02)
Answers
Answer:
-5
Step-by-step explanation:
5x+23= -2x-12
Add 2x to the other side
7x+23= -12
Subtract 23 from the other side
7x= -35
Divide 7 from the other side
x= -5
1.How many semi-circles are there in a circle?
2.How many quadrants form a circle?
3.Which line touches a point on the circumference of the circle?
4.The line touching the inside circumference of the circle is called the _______.
5.The part of the circle enclosed by two radii inside the circle is known as the ______.
6.The distance around the circle is the ________.
7.Which is the longest chord in the circle?
8.The _______ is same as the perimeter of a rectangle.
Answers
Answer:
1. 2semicircle
2. 4 quadrant
3. tangent
4.chord
5.The region enclosed by two radii and an arc of a circle is called the sector of a circle.
6. The distance around the circle is called circumference.
7.Diameter is the longest chord of the circle..
8.The perimeter of sum of all the side lengths of a shape. is same
1. A number is represented by x. How would we represent:
a) 2 more that the number.
b) 5 times the number.
c) 3 less than twice the number.
d) Twice as much as 3 less than the number.
e) A 1/4 of the number.
Answers
Step-by-step explanation:
If the number is represented by x, then
x+25x2x-3(x-3)21/4× x=x/4multiply (2x+5) (2x-3)
(x-4) (3x²+5x+2)
Answers
Answer:
[tex]thank \: you[/tex]
how are 1/4 of 12 and 12 divided by 4 related????
Answers
Answer:
they are related because both of the equation equal to 3
Pls I need help on this
Answers
Answer1:
-1
Step-by-step explanation:
distributed, so it must be the number before parenthesis
-(-3c+5) = -1(-3c+5)
helpppppp me please i need help
Answers
Answer:
2nd one?
Step-by-step explanation:
Have a good day
-Bradi
(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))
Answers
Answer:
Here is your answer . Hope this helps.
(2n3 - 3n4 + 7n) - (n3 - 8n4 - 7n)
Answers
Answer:
Step-by-step explanation:
(2n³ - 3n⁴ + 7n) - (n³ - 8n⁴ - 7n) = 2n³ - 3n⁴ + 7n - n³ + 8n⁴ + 7n
{Here -1 is distributed }
= 2n³ - n³ - 3n⁴ + 8n⁴ + 7n + 7n
{Combine like terms}
= n³ + 5n⁴ + 14n
Answer:
The answer is: n^3 + 5n^4 + 14n
Step-by-step explanation:
combine like terms and simplify. 7(3y-5)-2(10+4y)
Answers
Answer: 13y - 55
Step-by-step explanation:
Given
7 (3y - 5) - 2 (10 + 4y)
Expand parentheses and apply the distributive property
=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y
=21 y - 35 - 20 - 8y
Move like terms together
=21y - 8y - 35 - 20
Combine like terms
=13y - 55
Hope this helps!! :)
Please let me know if you have any questions
What is the answer to this? Please send help
Answers
Step-by-step explanation:
steps are in the picture.
Note:if you need to ask any question please let me know.What are the names of three collinear points?
A parallelogram is shown with point upper J at its center. Ray upper J upper K is drawn horizontally to the right. Ray upper J upper L is drawn horizontally to the left. Points upper A and upper D are located inside the parallelogram above point J. Point upper B is located inside the parallelogram below point J. (1 point)
Points D, J, and K are collinear.
Points A, J, and B are collinear.
Points D, J, and B are collinear.
Points L, J, and K are collinear.
Answers
Answer:
L,J, and K are collinear
Step-by-step explanation:
x^2-2x/2x^2+8 - 2x^2/8-4x+2x^2-x^3
Answers
Answer:
[tex]-2x^3+\frac{11}{4} x^2 - 4x +8[/tex]
1Use the Zero Product Property to solve for x.
a. (x +13)(x - 7) = 0
b. (2x+ 3)(3x - 7) = 0
C. x(x-3) = 0
d. x^2 – 5x = 0
e. x^2 – 2x – 35 = 0
f. 3x^2 + 14x - 5 = 0
Answers
a. x + 13 = 0
x = -13
x-7= 0
x= 7
b. 2x +3 = 0
2x = -3
x= -3/2 or -1.5
3x -7 = 0
3x = 7
x = 7/3
c. x = 0
or x = 3
these you have to change it into that form first
d. x= 5
or x = 0
e. x= 7
or x = -5
f. x = 1/3 or -5
In a survey, 250 people were asked if they smoke…..
Answers
Answer:
90%
Step-by-step explanation:
22%