Let AB be the directed line segment beginning at point A(5 , 5) and ending at point B(19 , 16). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:2.
Answer:
(9, 57/7)
Step-by-step explanation:
Given the coordinates A(5 , 5) and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;
P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}
X = ax1+bx2/a+b
Substitute the given values
X = 5(5)+2(19)/5+2
X = 25+38/7
X = 63/7
X = 9
Similarly;
Y = 5(5)+2(16)/5+2
Y = 25+32/7
Y = 57/7
Hence the coordinate of point P is (9, 57/7)
Find the greatest common factor of 14 and 28
What is the inverse of the function below?
F(X)=x/4-2
A. F-^1(X)=2(X-4)
B. F-^1(X)=4(X-2)
C. F-^1(X)=4(X+2)
D. F-^1(X)=2(x+4)
Answer:
could be C ..............
In an arboretum, the heights of five trees were 21 feet, 31 feet, 36 feet, 28 feet,
and 26 feet. What would be the height of the sixth tree if the mean height of the
six trees was 28 feet?
Answer:
26
Step-by-step explanation:
(21+31+36+28+26+x)/6=28
21+31+36+28+26+x= 28×6
142+x =168
x=168-142
x=26
How many fewer throws travelled more than 6 3/4 meters than travelled 6 3/4 meters or less
Answer:
this is not a complete question cause u did not give full numbers
Step-by-step explanation:
not trying to steal points can u finish the question
of sales tax is 6%, what is the final price of a Microwave oven whose list price is $110.00?
HURRYHXHXHSHSHHSJSJH H U R R Y P LS
it is -1 and i have to type 20 characters to answer lol
Answer:
x = -1 (:
brainly rules 20 characters
David uses 1/4 bag of potting soil to plant 6 tomato plants. If he uses the same amount of potting soil for each plant, what fraction of the bag of potting soil will each plant get?
1/24
24
2/3
1 1/2
Answer:
Step-by-step explanation:
A
Given the definitions of f(c) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x2 + 6x – 8
Answer:
gf(5) = -8
Step-by-step explanation:
gf(x) = g(x^-1) = x^2 + 6x - 8
f(x) = 2x - 10
gf(x) = 6(2x - 10) - 8
gf(x) = 12x - 60 - 8
gf(x) = 12x - 68
gf(5) = gf(x) = 12x - 68
gf(5) = 12(5) - 68
gf(5) = 60 - 68
gf(5) = -8
Here are the score that Jenna has received on her seven quizzes 16 11 20 16 12 17 18 what is the lower quadrille
Answer:
12
Step-by-step explanation:
lower quartile is the median of 11, 12, and 16
Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds.
Question isn't well formatted and seems incomplete :
Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds. The total weight of in the truck.
Answer:
Step-by-step explanation:
Given that:
Number of trucks = 3
Number of bags each truck can hold = 3
Weight per bag = 200 pounds
Amount of in each truck :
Weight per bag * number of bags
200 * 3 = 600 pounds
Which is 600 pounds per truck
Total pounds carried by the trucks :
600 pounds * 3 = 1800 pounds
The diagonals of the figure below represent the support beams for a patio covering.
B
E
30°
10 yards
M
A
What is the length of each support beam?
o 10 yards and 10x/3 yards
O 5 yards and 53 yards
O 10 yards and 5 yards
O 15 yards and 5 yards
Answer:B
Step-by-step explanation:
Took the test
pls hurry will give brainlyest or whatever !!!
If x = 10 and y = 3 Evaluate this expression: x + xy -2(x-y)
20
30
42
36
26
Answer:
26
Step-by-step explanation:
10+(10x3)-2(10-3)=
10+30+-2(7)=
40-14=
26
Pls I need help thank you
Answer:
angle FGJ and angle KJG
hope it helps
WILL GIVE BRAINLIEST AND 5 STAR PLS HELP
Answer:
The answer is D
What's 0.016 as a fraction
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2/125
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
16/1,000
Understanding place values:
The first 0 before the decimal point in 0.016 represents ones, the 0 after the decimal point represents tenths, the 1 represents hundredths and the 6 represents thousandths. We use 1,000 in our fraction because of the place value.
Step-by-step explanation:
1. Convert 0.016 into a fraction:
0.016 = 16/1,000
2. Simpilfy the fraction 16/1,000:
16/1,000 ÷ 8 = 2/125
2/125 is equivalent to 0.016
Side Note: Step 2. is only for people looking for the simplified answer!
~Hope this helps!
~Hocus Pocus
Which of the following points is in the solution set of y>-x² + 5?
A. (0,5)
B. (1,3)
C. (2,4)
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
Can anyone help me with this?
Answer:
307.5
Explanation:
First 65 x 10.50 then 990-682.5
Someone please help 10 points each Please help me outttt
Answer:
a, 1,<Z b, 1,zy c,XZY
2,<Y 2, zx
3, <X 3, xy
I need help ASAP please
Answer:
It's actually B
Step-by-step explanation:
The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.
So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B
Find the value of y from the above rhombus
A. 2
B. 3
C. 7
D. None of these
Answer:7
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side. (Hint: An isosceles right triangle is a right triangle whose legs are the same length.)
Question
The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.
Answer:
[tex]Hypotenuse:37.56[/tex]
[tex]Other\ Legs: 26.56[/tex]
Step-by-step explanation:
Let the hypotenuse be y and the other legs be x.
So:
[tex]y = 11 + x[/tex]
Required
Determine the exact dimension of the triangle
Using Pythagoras theorem;
[tex]y^2 = x^2 + x^2[/tex]
[tex]y^2 = 2x^2[/tex]
This gives:
[tex](11+x)^2 = 2x^2[/tex]
Open bracket
[tex]121 + 22x + x^2= 2x^2[/tex]
Collect like terms
[tex]2x^2 - x^2 -22x - 121 = 0[/tex]
[tex]x^2 -22x - 121 = 0[/tex]
Using quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]
[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]
[tex]x = \frac{22\±31.11}{2}[/tex]
Split
[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]
[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]
x can not be negative.
So:
[tex]x = \frac{53.11}{2}[/tex]
[tex]x = 26.56[/tex]
Recall that:
[tex]y = 11 + x[/tex]
[tex]y = 11 + 26.56[/tex]
[tex]y = 37.56[/tex]
Hence, the dimensions are:
[tex]Hypotenuse:37.56[/tex]
[tex]Other\ Legs: 26.56[/tex]
What is this expression in simplified form?(8✓10)(8✓5)
Answer:
80 and 90
Step-by-step explanation:
A die is rolled 3. What is the probability of getting a 1 on the first roll, a 2 on the second roll, and a 3 on the third roll
Answer:
The probability of getting 1,2 and 3 after rolling once , second and thrice is
1/6
Step-by-step explanation:
These are all independent events.
The sample space = [1,2,3,4,5,6]
A die has 6 sides
1. If this die is thrown once, the probability of getting a 1 is = 1/6
2. If we roll the dice a second time, the probability of getting a 2 is independent from the first time it was rolled, so the sample space remains the same. The probability is also 1/6
3. If we rolled a 3rd time the probability remains 1/6 also
John runs 6.5 miles in 30 minutes. If he continues at this rate for 1 hours, determine his rate of change .
Answer: 13 miles
Step-by-step explanation:
30 min plue 30 min is 1 hour
if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13
HELP! DUE TODAY!!
Find the perimeter of the composite shape shown below.
A.50m
B.30m
C.90m
B.42m
Joe runs an M&M's factory and is reviewing the bagging machines. They drop M&M's into bags on a conveyor belt, with 39 M&M's going into each bag. Write an equation for the number of bags 'B' that can be filled from a supply of M&M's 'T'. Write your equation in the form of B=_____________.
The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.
How to explain the equationThe formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:
B = T/39
This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.
Learn more about equations on
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14 cm
12 cm
22 cm
Find the area of the trapezoid. and show Work
A. 108 cm
B. 432 cm
C. 60 cm
D. 216 cm
Answer:
D. 216 cm
Step-by-step explanation:
1. I assume 14 is a 22 is b and 12 is h
2. Trapezoid Area Formula
[tex]A = \frac{1}{2}(a+b)h[/tex]
3. Plug in numbers
[tex]A = \frac{1}{2}(14+22)12[/tex]
[tex]216 = \frac{1}{2}(14+22)12[/tex]
Choose the graph of the solution to this inequality.
–6x < 21
Answer: A
Step-by-step explanation:
c - 12 > -16
c > -4
A