Step-by-step explanation:
Using the section formula , if a point ( x , y ) divides the line joining the points ( x1 , y1 ) and ( x2 , y2 ) into the ratio m : n , then
( x , y ) = ( mx2 + nx1 / m + n , my2 + ny1 / m + n)
Let the points be A(-8,−2) and B(6,19). Let a point P(x,y) divides AB in the ratio 5:2
Therefore, we have
[tex]P(x,y) =( \frac{5 \times 6 + 2 \times - 8}{5 + 2} , \: \frac{5 \times 19 + 2 \times - 2}{5 + 2}) [/tex]
[tex]P(x,y) = ( \frac{30 + ( - 16)}{7} , \: \frac{95 + ( - 4)}{7} )[/tex]
[tex] P(x,y) = (2, 13)[/tex]
Answer:
(2, 13)
Step-by-step explanation:
Let P be the point that partitions the segment.
Let M = (-8, -2)
Let N = (6, 19)
If point P partitions the segment MN in a 5 : 2 ratio, then to calculate the x and y values of point P:
divide the difference of the x (or y) values of the two endpoints by the sum of the ratiosmultiply this by 5, since P partitions the segment at 5 : 2add this to the x (or y) value of point Mx-value of P:
[tex]\sf \implies \left(\dfrac{x_N-x_M}{5+2}\right)\cdot5+x_N[/tex]
[tex]\sf \implies \left(\dfrac{6-(-8)}{5+2}\right)\cdot5+(-8)=2[/tex]
y-value of P:
[tex]\sf \implies \left(\dfrac{y_N-y_M}{5+2}\right)\cdot5+y_N[/tex]
[tex]\sf \implies \left(\dfrac{19-(-2)}{5+2}\right)\cdot5+(-2)=13[/tex]
[tex]\sf P=(2,13)[/tex]
A car is traveling at a rate of 120 kilometers per hour. What is the cars rate in miles per hour? How many miles will the car travel in 2 hours? In your computations assume that 1 mile is equal to 1.6 kilometers
Answer:
150 miles
Step-by-step explanation:
speed = 120 km per hour
1 mile = 1.6 km
speed = 120 km per hr
divide 120 with 1.6 to get in miles=120/1.6
= 75 miles per hour
speed = 75 miles per hour
So, in 1 hr, it can travel 75 miles
the distance traveled by car in 2 hours = 75 * 2 = 150
Result : Speed = 75 miles per hour , distance = 150 miles
50/100 in tenth fraction and decimal form
Answer:
5/10 and .5
Step-by-step explanation:
50/100 is 1/2 so 1/2 is equal to 5/10
5/10 is also 1/2 and 1/2 as a decimal is .5 or 0.5
hope it helps !
A car is traveling a rate of 120 kilometers per hour. What is the cars rate in mile per hour? How many miles will the car travel in 2 hours? In your computation assume that 1 mike is equal to 1.6 kilometers
Step-by-step explanation:
120 ÷ 1.6 = 75.
so 75 miles per hour.
75 × 2 = 150
therefore 150 miles in 2 hours
Answer:
120 km/ 1 hour
We need to convert kilometers into miles, so given the information below (1 mile = 1.6 km), we divide 120 km by 1.6 km because 1.6 km is equivalent to 1 mile.
120km/1.6km
= 75 miles, so therefore the cars rate will be:-
75 miles/ 1 hour
To see how many miles are in 2 hours, we must multiply the unit rate(75 miles/ 1 hour) by 2.
75 miles/ 1 hour x 2/2 hours
75 x 2
______ = 150/2, so the car will travel 150 miles in 2 hours.
1 x 2
Solve the inequality for x and identify the graph of its solution.
3(x + 1) < 6
Choose the answer that gives both the correct solution and the correct graph.
Answer:
the answer is B
hope the answer may help you
3 8 B. Maria bought 13 pounds of nails for a carpentry project. She ended up with pound of nails when she finished the project. a. Write an equation that can be used to determine how much of the 13 pounds of nails Maria used
I'm looking for a equation.
Step-by-step explanation:
let 1 pound of nail = x
so, the carved out waste nail will be = 12x
total nails = 13x
so the equation is =
13x - 12x = x
OR
x + 12x = 13x
Or
13x - x = 12x
Each 14 inch on a map represents an actual length of 18 of a mile.
What length on the map represents 1 mile?
132 inch
38 inches
2 inches
4 inches
Answer:
38 inch
Step-by-step explanation:
The percentage price of an article is 30000 and its price after the discount is 27600. What will the percentage of the discount be ?
the answer for this would be 20 percent
40 POINTS+BRAINILYIEST
What is the volume of the solid figure?
The solid shape is made up of two rectangular prisms. The first rectangular prism has a height of 10 inches, length of 5 inches, width of 5 inches and with connecting to the second rectangular prism, has a smaller height of 5 inches. The second rectangular prism has a length of 15 inches, height of 5 inches, width of 5 inches. The total length of the solid is 20 inches.
Answer:
A solid figure has three dimensions while a plane figure has only two dimensions. The space enclosed by a solid figure is called its volume. The volume of a solid figure is measured in cubic units such as cubic centimetres (cm3) and cubic metres (m3).
Step-by-step explanation:
Hope this helps....
Answer:
i think we're in the same class lol, but i just took the quick check and the answer was 625in, which would be A
Step-by-step explanation:
mr bernstein owns 14 paintings, but has only enough wall space in his home to display three of them at any one time. How many ways can Mr Bernstein display three paintings in his home
Answer:
2,184
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Help me pwes I need it.
Answer:
1/10
when you do the LCM you get 70
divide each fraction by 70 and you will get the least to be a tenth
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
This is a quadrilateral.
Sum of all angles of a quadrilateral = 360
x + 100 + 60 + 95 = 360
x + 255 = 360
x = 360 - 255
x = 105°
Answer:
Angle X= 105 Degrees
Step-by-step explanation:
1. Create Equation
100+60+95+x=360
2. Solve
100+60+95+x=360
160+95+x=360
255+x=360
255-255+x=360-255
x=105
3. Check
100+60+95+105=360
160+95+105=360
255+105=360
360=360
Correct!
4. Answer
x=105
Which choice correctly compares the two numbers? A) 2.41 > 2.37 B) 2.75 < 2.24 9 2.75 > 3.24 D) 3.48 < 2.47
Answer:
A 2.41 > 2.37
Step-by-step explanation:
2.41 is greater than 2.37
Answer:
A
Step-by-step explanation:
others arent true
Please help I will give brainliest
Answer:
D
Step-by-step explanation:
IM RLY SORRY IF THIS IS WRONG IM DOING THIS FORM MEMORY
so I'm pretty sure u the arch equals twice the angle
so pi/2*2 = pi so D
hope it helppsss
trying not to dieT-T
What's the area of this figure?
Answer:
58.5
Step-by-step explanation:
the area for a square is l x l so 9
the area for a rectangle is l x w so 33
the area for a rectangle is l x w /2 so 33 /2 = 16,5
so after adding them all up you get 58.5
Amir is expecting to receive at least $50 from his grandparents for his birthday. He plans on using all of the money to buy new clothes for summer. He would like a new pair of sandals that cost $26.50 and new shirts that cost $8 a piece. Write an inequality to represent the number of new shirts he can buy in terms of the sandals and the amount of money he will receive.
The inequality that models the situation is given by:
[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]
How does Amir plans to spend his $50?He plans to spend it as follows:
With a new pair of sandals, costing $26.50.With n new shirts, each costing $8.Hence, his total spending is given by:
T = 26.50 + 8n.
He can spend at most $50, hence:
[tex]T \leq 50[/tex].
[tex]26.50 + 8n \leq 50[/tex]
[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]
More can be learned about inequalities at https://brainly.com/question/25235995
Please help me find the area of the shape
Answer: the area of the octagon is 52.8 inches.
Step-by-step explanation:
1. find the equation to find the area of the given triangle:
(1/2 * base * height)
2. plug in give numbers into equation: (1/2 * 3.3 * 4) = 6.6
3. since the base of the triangle fits into one of the sides of the octagon, we can assume the triangle can be fit perfectly for each of the sides, completing the octagon. for this, multiply the area of the triangle by eight (amount of sides in an octagon). 6.6 * 8 = 52.8
hope this helped! ♡ -moni
a bicycle has a listed price of 749.95 before tax. if the sales tax rate is 9.5%, find the total cost of the bicye with sales tax included
Answer:
821.20
Step-by-step explanation:
The tax is added to the listed price in order to find the total cost. The tax is computed by multiplying the listed price by the tax rate.
tax = 749.95 × 0.095 = 71.25 . . . . . (rounded up from 74.24525)
total cost = listed price + tax = 749.95 +71.25 = 821.20
The total cost of the bicycle with sales tax included is 821.20.
Answer:
$821.20 (nearest cent)
Step-by-step explanation:
If a sales tax of 9.5% is applied,
the final cost of the bicycle = 100% + 9.5% = 109.5% of its listed price
Convert 109.5% into a decimal:
109.5% = 109.5/100 = 1.095
So 109.5% of $749.95 = 1.095 × 749.95
= $821.20 (nearest cent)
If a family of three splits a 33.66 bill evenly how much will each family member owe
Answer:
$11.22
Step-by-step explanation:
Divide 33 by 3 and also divide .66 by 3. You get 11 and .22, add both of those together and you get $11.22
Type the correct answer in each box, Spell all the words correctly, and use numerals instead of words for numbers. If necessary, use / for the
fraction bar(s).
y +10
А
18
6
B
X
+
- 10
-8
-6
-4
-2
2
4
6
8
10
-2
B
-4
C
-8
-10
units)
and a
across the
-axis
We can show that ABC is congruent to AABC by a translation of
Step-by-step explanation:
We can Show that ∆ABC is congruent to∆A'B'C' by a translation of 1 units(s) to the left and a reflection across the X -axis.
We can show that ΔABC is congruent to ΔA'B'C' by a translation of 2 units to the left and reflection across the x-axis.
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
Given that the two triangles ABC and A'B'C'.
The points are A(8, 8), B(10, 4) and C(2, 6).
And A'(6, -8), B'(8, -4), and C'(0, -6).
The translation rule 2 units to the left and reflection across the x-axis.
We can show that ΔABC is congruent to ΔA'B'C' by a translation of 2 units to the left and reflection across the x-axis.
Therefore, the required translation rule is given above.
To learn more about the reflection;
https://brainly.com/question/11232423
#SPJ7
Algebra 2 work, I need help !
(picture below)
HEY if you remove it you will get a curse
Determine the measure of the interior angle at vertex C.
Answer:
B. 120 Degrees
Step-by-step explanation:
We know that the total interior angle of any five sided polygon is 540 Degrees.
The total interior angle of this polygon is
4x + 4x + 4x + 3x + 3x = 18x 540 = 18x
Divide by the lowest ratio 540/18 = 30
30 = x
C = 4x
4X30 = 120
C = 120 Degrees
is -2^3b^3 + 15c^3/8 z^3 a monomial, binomial, trinomial, or other polynomial.
Answer: binomial
Step-by-step explanation: it has 2 terms
Can someone please help me
Answer:
BCDE
Step-by-step explanation:
A={2,4,6,…,18,20} then n(A)=
Answer:
n(A) = 10
Step-by-step explanation:
The number of elements in the set of even numbers from 2 to 20 is 10.
n(A) = 10
_____
Additional comment
Dividing the set elements by 2 maps them to the Natural numbers 1 .. 10. This makes them easy to count.
Explain why the amount of money in the account at the end of the first year is given by the formula with n as the exponent: P = P∨0 (1 + r/n)^n
Answer:
This is the formula you use for someone investing in money. The formula is actually supposed to be: A=P(1+).
A is the total amount, P is the principal amount (the initial; original), r is percent (%) rate in decimal form, n is frequency, and t is the amount of years.
Step-by-step explanation:
What would happen if you fall from your bed ?
Answer:
Depends on person to person.
Some may cry ( if it is a child or kid )
Some may get shout.
Some may come away from sleep, that is their sleep rhythm may get disturbed.
Some won't react, that is they continue to sleep even after they fall from the bed.
Step-by-step explanation:
In this case, I will continue to sleep, because on the floor another bed will be there.
Answer:
You COULD DIEEEE ._.
Step-by-step explanation:
Translate the sentence into an equation.
Eight times the sum of a number and 4 is 3.
Use the variable x for the unknown number.
Answer:
8(x+4)=3
Step-by-step explanation:
the answer is this!
I WILL GIVE BRAINLIETS IF THESE ARE ALL RIGHT
This month the company reported an increase in profit of 25%. If the company made $45,000 last month, how much did they make this month?
A. $5,400
B. $5,625
C. $54,000
D. $56,250
Answer:
56,250
Step-by-step explanation:
First e turn the persentage into a decimal so we can multiply the 45,000 by it
45,000 x 0.25 = 11,250
Now we ad the total from last month to the amount we got in the last step to figure out how much the company earned this month
11,250 + 45,000 = 56,250
The company earned 56,250 this month :)
Hope this helped!
Have a good day!
Please rate and mark brainliest!!
Consider the equation 21 = m + 14.1. Which step will help to solve this equation? = a) Add 14 14 on both sides of the equation. . b) Subtract 14 tão on both sides of the equation. С Multiply both sides of the equation by 14 141 . o Divide both sides of the equation by 14
Answer:
B is the right answer
Step-by-step explanation:
Subtract 14 from each side to get the value of m
21 - 14 = 7 = m
m = 7
give an equation for the graph
Answer:
y = -4
x = 1
Step-by-step explanation:
soo you could memorize if you want that if its a vertical line it will be x = __
or if its a horizontal line is y = ___
but i like doing ummm so when you look at the first line nothing changes to y, so y wil be always -4 . its the same for the vertical line, the x stays the same.