The coordinates of points A and B are A (-10,-8) and B (80, 37). Which are the
coordinates of a point that partitions segment AB in a ratio of 4:5?
Answers
Given that,
The coordinates of A = (-10,-8)
The coordinates of B = (80,37)
To find,
The coordinates of a point that partitions segment AB in a ratio of 4:5.
Solution,
Let the coordinate of required point is (x,y). We can use section formula to find it as follows :
The section formula is :
[tex](x,y)=(\dfrac{m_2x_1+m_1x_2}{m_1+m_2},\dfrac{m_2y_1+m_1y_2}{m_1+m_2},)[/tex]
We have,
m₁ =4, m₂ = 5, x₁ = -10, x₂ = 80, y₁ = -8, y₂ = 37
Using all the values,
[tex](x,y)=(\dfrac{5(-10)+4(-10)}{4+5},\dfrac{5(-8)+4(37)}{4+5})\\\\=(-10,12)[/tex]
So, the required point in which AB is divided is (-10,12)
Answer:
Top Right
Step-by-step explanation:
Related Questions
The table below shows last year's gross income, standard deduction, and
number of exemptions for four different workers.
"d/
Gross
Income
Standard
Deduction
Number of Exemptions at
$3650 Each
Clara
$61,788
$5700
1
Esther $66,837
$8350
2
Jerry
$67,902
$5700
3
Leo
$63,478
$8350
1
Assuming that each worker used the standard deduction and that none of the
workers had any additional adjustments, which worker had the lowest taxable
income last year?
A. Esther
B. Clara
C. Leo
O D. Jerry
Answers
Answer:
I am pretty sure answer is Leo he has the lowest dollar amount with the lowest number of exemptions that is how I did the one I just took and did fine
Step-by-step explanation:
A holiday tree is 4 feet 8 inches tall. There are 2.54 centimeters in one inch. What is the tree’s height in centimeters?
Answers
Answer:
The tree's height is 142.24 cm.
Step-by-step explanation:
There are 12 inches in a foot. This means that 4 feet equal 4 * 12 = 48 inches. Since there are 8 more inches, you add 8 to 48. The sum is 56. There are 56 inches in 4 feet and 8 inches.
Now, to convert:
56 * 2.54 = 142.24 (inches to centimeters)
The tree's height is 142.24 cm.
Solving Equations
If an elephant travels for 4 hours at
6.5 mph and a giraffe travels for 2
hours at ll mph, who covers more
distance?
E. elephant
F. giraffe
G. They travel the same distance.
H. cannot be determined based on the
information provided
Q2
Answers
While riding in the car on the highway, Jason notices a sign that says the exit is one mile away and begins counting seconds
It took 60 seconds to get to the exit from that sign. How fast is in mph, is the car going?
11) There are 5 grams of sugar in one 1⁄2 cup serving of Stephanie’s cereal. Write an equation to express how many grams of sugar are in 3 cups of cereal.
Answers
Answer:
60 mph
Step-by-step explanation:
1 min to go 1 mile, 60 minutes per hour, 60 x 1=60
What are some of the characteristics of exponential growth and exponential decay functions?
Answers
These are the characteristics of the exponential growth and exponential decay functions
Properties of Exponential Growth Functions
The function is an increasing function; y will increase as x will increase. Range: If a>0, the range is {positive real numbers} The graph is continually above the x axis. Horizontal Asymptote: when b>1, the horizontal asymptote is the negative x axis, as x will become huge negative.
Properties of Exponential Decay Functions
The feature y=f(x) function represents decay if k < 0. The function is a reducing function; y decreases as x will increase. Range: If a>0, the range is {positive real numbers } The graph is always above the x axis.
Therefore, these are the characteristics of the exponential growth and exponential decay functions
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Which line has an xintercept of 4?
O2 x+2 y=-8
O4x+y=8
O-4x+y=8
O-2x+ 2 y=-8
Answers
Answer:
D) -2x+ 2 y=-8
Step-by-step explanation:
the first one has -4
the second one has 8
the third one has -2 the last one has 4
This diagram shows a convex polygon.
What is the value of a?
*Picture Attached*
Answers
Answer:
216?
Step-by-step explanation:
what is 50 − 7k when k = −10
Answers
Answer:
120
Step-by-step explanation:
Substitute the given number for k into the expression:
50 – 7(–10)
Multiply:
50 – (–70)
Simplify:
50 + 70
Solve:
120
Hope this helps! :)
Subtract (-2x² +3x-5) from( 6x2 -4x+2)
Answers
Answer:
8x² - 7x + 7
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(6x² - 4x + 2) - (-2x² + 3x - 5)
Step 2: Simplify
Distribute negative: 6x² - 4x + 2 + 2x² - 3x + 5Combine like terms (x²): 8x² - 4x + 2 - 3x + 5Combine like terms (x): 8x² - 7x + 2 + 5Combine like terms (Z): 8x² - 7x + 7please help!
select all that apply
Answers
There are 7 circles and 5 triangles. What is the ratio of triangles to all shapes o 5 to 12 o 12 to 5 O 7 to 5 05 to 7
Answers
Answer:
please help help me me my question solve
On the coordinate plane, the segment from X(–
2,2) to Y(8,2) forms one side of △XYZ. The triangle has an area of 20 square units. Select all of the points where Z could be
0,6; 8,6; 4,2; 7,-2
Answers
The coordinates of Z will be Z(8,6) and Z(4,2)
The formula for the area of triangle is given as :
A = 1/2 * b * h
where , b = base
h = height
We have been a ΔXYZ with coordinates of
X(-2,2) and Y(8,2)
Also the given area is 20 sq. units
We need to find the coordinates of Z from the given question.
First we will find the length of XY which is
XY = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2}- y_{1}) ^{2} } \\[/tex]
= √(8+2)² + (2-2)²
= √100
= 10 units
Let z= (0,6)
distance of YZ = √(0-8)² + (6-2)²
= √64+ 16
= √80
Area = 1/2 * 10* 4√5 = 20√5 ≠ 20
Let Z = (8,6)
distance of YZ = √(8-8)² + (6-2)²
= √16
= 4
Area = 1/2 * 10* 4 = 20
let Z = (4,2)
distance of YZ = √(4-8)² + (2-2)²
= √16
= 4
Area = 1/2 * 10* 4= 20
Let Z = (7,-2)
distance of YZ = √(7-8)² + (-2-2)²
= √1 + 16
= √17
Area = 1/2 * 10* √17 = 5√17 ≠ 20
Hence the coordinates of Z will be Z(8,6) and Z(4,2) as putting these value we get area equal to 20 square units.
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What are composite numbers 7 13 39 97
Answers
39 is a composite numbers out of 7 13 39 97.
What is composite number?A composite number is one that can be generated by multiplying two smaller positive numbers. It is a positive integer with at least one divisor other than 1 and itself. Every positive integer is either composite, prime, or the unit 1, hence composite numbers are those that are neither prime nor a unit.
The integer 14 is a composite number, for example, since it is the product of the two smaller integers 2 7 Similarly, the numerals 2 and 3 are not composite numbers because they can only be divided by one and themselves.
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Subtract.
- 7 - 12 =
Answers
Answer:
-19 is the correct answer
What is a 68.2 as a grade
Answers
Answer:
Depending on how they grade..... a D or a C-
Step-by-step explanation:
According to Investment Digest ("Diversification and the Risk/Reward Relationship", Winter 1994, 1-3), the mean of the annual return for common stocks from 1926 to 1992 was 16.5%, and the standard deviation of the annual return was 19%.
What is the probability that the stock returns are less than 18.5%
Answers
The probability that perhaps the stock returns will be less than 18.5% is 0.542.
The normal distribution is:In most cases where the possible study population is large, a normal distribution is chosen. Apart from its easier application than that of other distribution methods, this is the primary reason for its efficiency.
According to the given information:Let X be the annual return on common stocks throughout 1926 to 1992.
The average of X is 16.5%.
X has a standard deviation of 19%.
Assume X is regularly distributed.
X∼N(μ,σ)
∼N(16.5,19)
The likelihood that stock returns seem to be less than 18.5% is calculated using the Z-table, as shown below.
P(X < 18.5) = [tex]P\left(\frac{X-\mu}{\sigma} < \frac{18.5-16.5}{19}\right)[/tex]
= P(Z < 0.1053)
= 0.542
The probability that perhaps the stock returns will be less than 18.5% is 0.542.
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In a three digit number, the tens digit is equal to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits are reversed, the new number is 11 less than half the original number. Find the original number.
Answers
572
Olive Boi is funny, he answered 123 l m f a o
Answer:
572
Step-by-step explanation:
Tens is T, Hundreds is H, and Units is U.
T=H+U
H=U+3
HTU÷2-11=UTH
From this point, I just started guessing. Sorry.
Two cylindrical science beakers are similar. The smaller beaker has a radius of 2 centimeters and a height of 4 centimeters. Its volume is
about 50 cm. The larger beaker has a height of about 16 centimeters.
Approximately what is the volume of the larger beaker?
A. 3,200 cm
OB. 1,600 cm
OC. 800 cm
OD. 200 cm
Answers
Answer:
itsa 1200 B
Step-by-step explanation:
two integers, a and b, have different signs. the absolute value of inter a is divisible by the absolute value of integer b. Find two integers that fit this description. Then decide if the product of the integers is greater than or less than the quotient of the integers.
Answers
Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.
How to find two integers that fit the description?
We have two numbers a and b with different sign.
Let's say that a is negative and b positive.
We know that the absolute value of a is divisible by the absolute value of b.
|a|/|b|
Then we have that |a| ≥ |b|
An example of two numbers that meet these conditions are:
a = -10
b = 2
Where:
|-10|/|2| = 10/2 = 5
Now, the product between the integers will give a large negative number, in this case:
-10*2 = 20
and the quotient will give a smaller, in absolute value, negative number:
-10/2 = -5
Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).
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The centroid of a triangle is the triangle’s center of gravity. A fountain will be placed at the centroid of the park. The designer wants to place a stone path from the fountain to the midpoint of each side. a. Reproduce the diagram in Item 1 showing the location of the fountain and the stone paths. Mark congruent segments on your diagram. b. What are the coordinates of the location of the fountain? c. What is the actual distance from the fountain to each vertex? d. Find the actual length of each stone path.
Answers
Answer:
vertex
Step-by-step explanation:
Which of the following statements best explains the data collected by the student shown in the above table?
Answers
Answer:
i think its j
Step-by-step explanation:
slope = 1/2, through: (3, 1)
Answers
Answer:
m=0
Step-by-step explanation:
Question 13 of 28
What is the length of each leg in the right triangle shown?
OA. 7
OB.
O C. 7.2
OD. 2
742
Answers
Answer:
7
Step-by-step explanation:
as the given angle is 45 degree in both side,
we can get this answer by solving Pythagoras formula
both angle will be 7root(2) / root(2) = 7
use sin (45) as reference which is 1/root(2)
The expression s2 is used
to calculate the area of a
square, where s is the side
length of the square. What
does the expression (8x)2
represent? The area of a
square with side length __.
A. 8 C. 4x
B. 16 D. 8x
Answers
Answer:
expression 4x the area is 16
Step-by-step explanation:
coz the expression one must devide (8x)2 to get 4x and to find the area one must multiplely 4x*4 to get 16
The solution is Option D.
The expression ( 8x )² represents the area of a square with side length 8x
What is the area of a square?
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let a be the side of the square
Area of the square = a²
Let the expression be A
Now , the value of A is given by
The value of A = s²
where s is the side length of the square
Now , let the expression be B
where the value of B is given as
The value of B = ( 8x )²
Now , 8x will be the side length of the square with ( 8x )² as its area
Therefore , the side length of the square is 8x
Hence , The expression ( 8x )² represents the area of a square with side length 8x
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David Egil and frances share money in the ratio 2:7:9 Egil gets £85 more than David work out how much they each get ?
Answers
Answer:
David gets £34, Egil gets £119 and Frances gets £153.
Step-by-step explanation:
Let the amount of money David gets be 2x, Egil be 7x and Frances be 9x.
7x = 2x + 85
7x - 2x = 85
5x = 85
x = 85 ÷ 5
x = 17
David (2x) = 2 × £17
= £34
Egil (7x) = 7 × £17
= £119
Frances (9x) = 9 × £17
= £153
the ratio of boys and girls in class is 3:2 Tthere are 15 boys how many total of boys and girls are in class
Answers
Answer: 15 boys and 10 girls
Step-by-step explanation:
15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.
Answer:
25
Step-by-step explanation:
3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)
15+10=25 total boys and girls
( 7.9 ) + 4.2 x ( 6.5 - 5.7 )
Answers
Answer:
11.26
Step-by-step explanation:
6.5 - 5.7 = 0.8Plug 0.8 in: (7.9) + 4.2 × (0.8)4.2 × 0.8 = 3.36Plug 3.36 in: 7.9 + 3.367.9 + 3.36 = 11.26I hope this helps!
82,77,72,67 find the sequince
Answers
Answer:
Subtract 5 as you go along the pattern.
82-5=77-5=72-5=67...
Step-by-step explanation:
VERY URGENT !Gloria texts 18 words in the same
amount of time it takes Erica to text
25. Assuming the relationship is
proportional, if Erica texted 500 words,
how many did Gloria text?
Answers
Answer:
Gloria would text 360 words if Erica texted 500 words.
Step-by-step explanation:
Let 'y' be the number of words Gloria texts
Let 'x' be the number of words Erica texts
Given that the relationship is proportional
y ∝ x
y = kx
where 'k' is called the constant of proportionality
Given
y = 18x = 25substituting the values to determine the constant of proportionality 'k'
k = y / x
= 18 / 25
Thus, the constant of proportionality = k = 18/25
When Erica texted 500 words, we need to determine the number of words Gloria will text.
so
k = 500
y = ?
k = y / x
y = kx
= 18 / 25 × 500
= 360 words
Thus, Gloria would text 360 words if Erica texted 500 words.
help please look at the image below.
Answers
Answer:
other 15/32
Step-by-step explanation:
Credit Hackmath.com
Answer:
other: 15/32
Step-by-step explanation:
5/8 * 3/4 = 0.46875 and thats 15/32 in fraction form