Answer:
[tex]B =(3.3,1.7)[/tex]
Step-by-step explanation:
Given
[tex]A(x_1,y_1) = (-4,-2)[/tex]
[tex]P(x,y) = (2,1)[/tex]
[tex]m : n = 9 : 2[/tex]
Required
The coordinates of [tex]B(x_2,y_2)[/tex]
The line segment from ratio is calculated as:
[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Substitute: A, P, m and n
[tex](2,1) = (\frac{9 * x_2 + 2*-4}{9+2},\frac{9*y_2 +2 *-2}{9+2})[/tex]
[tex](2,1) = (\frac{9x_2 -8}{11},\frac{9y_2 -4}{11})[/tex]
Multiply through by 11
[tex](22,11) = (9x_2 -8,9y_2 -4)[/tex]
By comparison:
[tex]9x_2 - 8 = 22[/tex]
[tex]9y_2 - 4 = 11[/tex]
So, we have:
[tex]9x_2 - 8 = 22[/tex]
[tex]9x_2 = 22 +8[/tex]
[tex]9x_2 = 30[/tex]
Solve for x2
[tex]x_2 = 30/9[/tex]
[tex]x_2 = 3.3[/tex]
[tex]9y_2 - 4 = 11[/tex]
[tex]9y_2 = 11+4[/tex]
[tex]9y_2 = 15[/tex]
Solve for y2
[tex]y_2 =15/9[/tex]
[tex]y_2 =1.7[/tex]
So, the coordinates of B is:
[tex]B =(3.3,1.7)[/tex]
How many tons are equal to 42,000 pounds?
A 2,100 tons
B 210 tons
C 200 tons
D 21 tons
Find the volume of the sphere.
r= 4 cm
Formulas for Spheres
S.A. = 4tr2
V = fnr V = [?] cm3
Round to the nearest tenth.
Enter
Answer:
268.2 cm³
Step-by-step explanation:
Volume of sphere= 4/3 π r³
→ [tex]4/3*22/7*4*4*4[/tex]
→ [tex]256*22/21[/tex]
→ [tex]5632/21=[/tex]
→ [tex]268.19 cm^3[/tex]
→ [tex]268.2 cm^3[/tex]
[tex]------------[/tex]
hope it helps...
have a great day!!
Answer:
268.2 cm³ is your answer
What is the answer for the equation: -4.2a = 8.4
Answer:
the answer is in the photo
Step-by-step explanation:
I hoped I helped:)
Which equation best represents the relationship between x and y in the graph
A y=2x-6
B y=2x+3
C y=1/2x-6
D y= 1/2x + 3
What's the right answer?
Given:
[tex]sinh(f(x))=1+x^2[/tex]
To find:
The value of f'(x).
Solution:
Formulae used:
[tex]\dfrac{d}{dx}sinh(x)=cosh(x)[/tex]
[tex]\dfrac{d}{dx}x^n=nx^{n-1}[/tex]
[tex]\dfrac{d}{dx}C=0[/tex]
Chain rule:
[tex]\dfrac{d}{dx}[f(g(x))]=f'(g(x))g'(x)[/tex]
Where C is an arbitrary constant.
We have,
[tex]sinh(f(x))=1+x^2[/tex]
Differentiate with respect to x.
[tex]cosh(f(x))f'(x)=0+2x[/tex]
[tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex]
Therefore, the required values is [tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex].
an athlete is running on a bike path with mile markers he is currently at mile marker 13 if his sister is 5 miles away determine her possible location
The distance between the amusement park and the bus terminal on a map is 2.25 inches. The map uses a scale in which 1 inch represents 15 miles. What is the actual distance between the amusement park and the bus terminal?
Answer:
33.75 miles
Step-by-step explanation:
[tex]\frac{1}{15} :\frac{2.25}{y}[/tex]
1 × y = 2.25 × 15
y = 33.75
what is the reciprocal of 453463.432849
Answer: 0.00000220524
Step-by-step explanation:
Jay had three cupcakes he divided the cupcakes by 1/3 how many pieces of cupcakes does Jay have now
Answer:
9
Step-by-step explanation:
if one cupcake is split into 3 pieces *1/3 per piece* then 3 cupcakes would be 9 slices in total *3x3=9*
solve for x
x plus 15 = 60
Answer:
x = 45Step-by-step explanation:
x + 15 = 60
=> x = 60 - 15
=> x = 45 (Ans)
Answer:
45
Step-by-step explanation:
x + 15 = 60
-15. -15
___. ____
x. = 45
Andy wants to find the distance across a river. In order to find the distance CD, Andy stands at point D , directly across from point C , and walks 200 feet to the left, placing a marker at a point E. Andy continues walking another 300 feet to point A , and then follows the path to the left, walking until the markers at points E and C line up. Andy marks this location B and measures AB. What is CD
Answer:
98
Step-by-step explanation:
200/300 x 147= 98
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
216 is the area
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
if it's area, then:
area = 216 cm²
Step-by-step explanation:
area = 1/2bh = 1/2(27)(16) = 216 cm²
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
148.92 is the area of the triangle
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
If it's area, then:
area = 148.92 in²
Step-by-step explanation:
area = 1/2(20.4)(14.6) = 148.92 in²
A distribution center makes deliveries to food stores on a weekly basis. On the average, 50 stores are served daily. A typical store places an order for 10,000 lb of various products. 4 store orders can be placed on a delivery truck. Trucks are loaded in 5 hours. The distribution center operates an 8 hour shift. How many truck doors are needed?
Answer:
3 doors needed
Step-by-step explanation:
The computation of the no of trucks doors that are needed is shown below:
= serve daily ÷ no of store orders ÷ no of store orders
= 50 ÷ 4 ÷ 4
= 3 doors needed
First we divided the serve daily from the no of store orders and then the value that comes so it would be divided by no of store orders again so that the no of truck doors could come
A Sociology student investigated the association between a country's Literacy Rate and Life Expectancy, and then drew the conclusions listed below. Explain why each statement is incorrect. (Assume that all the calculations were done properly.)
a) The $$R^2$$ of 64% means that the Literacy Rate determines 64% of the Life Expectancy for a country.
b) The slope of the line shows that an increase of 5% in Literacy Rate will produce a 2-year improvement in Life Expectancy.
Solution :
The term 'literacy rate' provides the ability of a person who is from a definite age group can read or write.
a). [tex]$R^2$[/tex] does not determine the rate at which the variable explains another, but it explains the amount the amount of variability in one of the variables as explained by the other variable.
b). The slope given provides an expected improvement but it cannot guarantee the improvement. The value may be less or it could be more also.
The regression model provides the prediction and not the actual values.
A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for chocolate cake or cheesecake. Out of the total 50 people who liked chocolate cake, 15 also liked cheesecake. There were 25 people who liked cheesecake.
Part A: Summarize the data by writing the values that the letters A to I in the table below represent.
Like chocolate cake Do not like chocolate cake Total
Like cheesecake A D G
Do not like cheesecake B E H
Total C F I
Part B: What percentage of the survey respondents did not like either chocolate cake or cheesecake?
Part C: Do the survey results reveal a greater dislike for chocolate cake or cheesecake? Justify your answer.
The values for the first part is..25 like choc...25 do not like choc..25 for the 3rd and yes..25 for 4th
Part b...zero percent..every 1 liked on or the other
Part c..it's equal for like choc..and same like cheese..
WHATS THE EQUATION & TELL HOW YOU GOT IT !!
PLEASE HELP !! ILL GIVE BRAINLIEST!! 100 POINTS !! NO FAKE ANSWERS.
Answer: 3x+18=5x-2
Step-by-step explanation:
3x+ 18x=5x-2
(3x+18x)=5x-2
21x=5x-2
5x 5x
16x=-2
16. 16
X= -1/8
Susan has a blue skirt, a green skirt, and a gray skirt. She also has a white sweater, a purple sweater, and a green sweater.
If she randomly selects her outfit, what is the probability she will select the gray skirt and the purple sweater to wear to work that day?
y=x−1
2x+y=8
If you were to solve the following system using substitution, your new equation would be...
Answer:
2x+ (x-1) = 8
Simplified
3x-1 =8
Step-by-step explanation:
y=x−1
2x+y=8
Take the first equation and everywhere you see y in the second equation substitute x-1
2x+ (x-1) = 8
You can simplify
2x+x-1 =8
3x-1 =8
If you want to solve
3x-1+1 =8+1
3x= 9
Divide by 3
3x/3 =9/3
x=1
Then solve for y
y = x-1
y = 3-1
y=2
The temperature in Mrs. Cagle's room was -14°F yesterday, but it rose 8°F today. What is the
new temperature today?
Help me graph this plssss!!! I’d really appreciate it!
Answer:
Okay so, first put a dot on the number three. Next, go down one and over two from that spot (2, 2) and so on.
Step-by-step explanation:
Answer and step-by-step explanation:
Here, we are given a linear equation, meaning that the graph is going to be a straight line. Firstly, we must identify the slope and the y-intercept of the line.
y = -1/2x + 3
The -1/2x is our slope, and the 3 is our y-intercept. So, let's plot the coordinate (0, 3) because that is the y-intercept. Lastly, we must find how steep the line is, and what direction it goes to. As you can see, it is negative, so that means that the slope will go from the top left to the bottom right. And, the slope is -1/2, which means that for every time you go to right two, you will also go down one. Hope this helps!
I’m stuck on this somebody help!! Please
Enter the opposite of 4/5 and negitive 7/15
Answer:
-4/5 and 7/15
Step-by-step explanation:
the opposite of a number is a number that is equal length from 0 on a number line. So the opposite of 4/5 is -4/5 and the opposite of -7/15 is 7/15
---
hope it helps
6 more than 5 times a number is equal to 11. Find the number.
Answer:
1
Step-by-step explanation:
Answer:
see below :)
Step-by-step explanation:
answer: 1
the equation would be written like so: 5n+6=11
5(1) = 5
5+6 = 11
n=1
Pls help I give brainliest and pls get this right
i NEED HELP PLEASE HELP ME
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The vertex is the extreme point of the curve. It lies on the vertical line that is the axis of symmetry.
The x-intercepts are where the graph crosses the x-axis. (They are symmetrically located about the axis of symmetry.)
The y-intercept is where the graph crosses the y-axis.
Help please this question is important!!!!
Find m angle 1.
A 100
B 25
C 80
D 105
Answer:
C. 80
Step-by-step explanation:
m angle 1 = ½×(105+55)= ½× 160= 80°
Help, I tried! I tried using PEMDAS, but I can’t figure it out. Please explain this problem.
Answer:
10
Step-by-step explanation:
Which expression is equivalent to 3 (x-9) + 6?
Answer: 3x-27
Step-by-step explanation:
Answer:
3x-21
Step-by-step explanation:
3(x-9)+6
3x-27+6
3x-21