Answer:
Step-by-step expVivian’s house area can be split into two rectangles: FLSU and MNSR.
area of rectangle FLSU
= length × width
= (FU) × (FL)
= 30 × 25
= 750 square feet
area of rectangle MNSR
= length × width
= (MS) × (MN)
= 38 × 25
= 950 square feet
area of Vivian’s house
= area of rectangle FLSU+ area of rectangle MNSR
= 750 square feet + 950 square feet
= 1,700 square feet
Write an equation to describe the linear function that fits the given characteristics.
Passes through the points (1,2) and (3,-4)
Parallel to y=1/4x+5 and passes through the point (4,8).
1/4x+7 passes through (4,8) but to make it pass through (1,2) and (3,-4) would be better for perpendicular. perpendicular is -4x+6 for (1,2) and (3,-4) which is kind of the closes i had time to play with it.
Give the properties for the equation -2x 2 - y + 10x - 7 = 0.
>Vertex
(5/2, 11/2)
(-5/2, 11/2)
(5, -7)
Given:
The quadratic equation is
[tex]-2x^2-y+10x-7=0[/tex]
To find:
The vertex of the given quadratic equation.
Solution:
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then
[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
We have,
[tex]-2x^2-y+10x-7=0[/tex]
It can be written as
[tex]-2x^2+10x-7=y[/tex]
[tex]y=-2x^2+10x-7[/tex] ...(i)
Here, [tex]a=-2,b=10,c=-7[/tex].
[tex]\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{-10}{-4}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{5}{2}[/tex]
Putting [tex]x=\dfrac{5}{2}[/tex] in (i), we get
[tex]y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7[/tex]
[tex]y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7[/tex]
[tex]y=\dfrac{-50}{4}+25-7[/tex]
[tex]y=\dfrac{-25}{2}+18[/tex]
On further simplification, we get
[tex]y=\dfrac{-25+36}{2}[/tex]
[tex]y=\dfrac{11}{2}[/tex]
So, the vertex of the given quadratic equation is [tex]\left(\dfrac{5}{2},\dfrac{11}{2}\right)[/tex].
Therefore, the correct option is A.
Solve the following question:
Q1: A family has booked a long holiday in Skragness, where the probability of rain on any particular day is 0.3.
a) Find the probability that the first day to rain will be on the third day of their holiday.
b) Find the probability chance that it will not rain for the first 2 weeks of their holiday.
[hint: X~Geo(0.3) a) P(X=__), b) P(X<__)]
Q2: If G~B(42, 7/12)
a) Find E(G) and Var(G) giving your answer as a fraction or mixed number
b*) Find P(G=20) correct to 3 significant figures.
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
Which math term is it for this one ?
Answer:
option D
the set of all points that are a fixed distance from a given point
hope it helps
The sum of the ages of two brothers is 38. in four years ago the age of the elder brother was the square of the younger brother. Find their ages
Answer:
Elder brother: 25
Younger brother: 5
Step-by-step explanation:
38 - (4+4)= 30
Now trial all square numbers
e.g 2 + 4 = 6 (does not work)
5 + (5x5)= 30
solve the inequalities and graph the solution 7d+8>29
The answer is d>3
I cant put it graphed but it is open circle on three and the line pointing 4, 5, 6, 7,
Rotational symmetry of 2D shapes
Choose all that apply
Answer:
B and C
Step-by-step explanation:
I think that this is right.
A pentagon's lines of symmetry go thru an angle and the middle of a side. Every 72 degrees, the pentagon in split into identical halves. Same with 144 because it is basically 2 72 degree rotations.
Answer:
72
Step-by-step explanation:
The order of rotational symmetry of a regular pentagon is 5.
To find the angle of rotation we divide 360 by the number of sides
360/5=72
so the angle of rotation is 72 degrees.
Anastasia went shopping for birthday gifts and bought three of the same board game. She also spent $9.75 on birthday cards. Anastasia spent a total of $69.60. What was the price of each board game?
Plsss I need help it’s due today at 2:00 I’ll reward brainiest it’s super easy
Answer:
1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
2/3 * 1/2 = 1/3
please help
wahat is the slope of the line !?!?
2+3i / 1-4i simplify
Answer:
=2−i
Step-by-step explanation:
Hope this helps :)
BRAINLIEST PLSSS I HAVE A LITTLE BIT POINTS :|
Marie necklace is 30 inches long. She decided to make it 6 inches shorter. How many feet long is the neck less now?
Answer:
24 inches
Step-by-step explanation:
Answer:
2 feet long
Step-by-step explanation:
12 inches in a foot
30-6=24
24 inches=2 feet
What is the value of x in 5x = 35? *
Answer:
7
Step-by-step explanation:
Paul asked four friends how many hours of tv they watch and their grade on a recent test
Answer: D
Step-by-step explanation: The answer wouldn't be A because all the information is there, B is out because the question tells you there is a correlation between the two, and C is out because it has a more negative affect than positive.
what is an outlier number?
Answer:
an outlier is a number that is at least 2 standard deviations away from the mean for example in the set 1,1,1,1,1,1,1,1,1,7,7,7 would be the outlier
Step-by-step explanation:
watashi wa sore ga tadashī koto o negatte imasu
arigatozaimasu!!
Step-by-step explanation:
i have noooo idea but ayyeee
Here are the boiling points of certain elements in degree Celsius:
•Argon: -185.8
•Chlorine: -34
•Fluorine: -252.87
•Krypton -153.2
List the elements from least to greatest boiling points.
Answer:
Fluorine
Argon
Krypton
Chlorine
aylor states that 2,800,000 in scientific notation is 2.8 × 10-6 because the number has six places to the right of the 2. Is Taylor’s reasoning correct?
Answer:
2.8+1232adwasdf 232=999
Step-by-step explanation:
write an equation of the line that passes through the given point and has the given slope (6,4) slope -3/4
Answer:
Its slope is
m = -1/(1/2) = -2
y = -2x + b
Get b from the given point.
-4 = -2(6) + b
b = 8
y = -2x + 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given slope (m) = -3/4
and x1 = 6
and y1 = 4
Solve for b (y2) using x2 = 0.
m = -3/4 = (y2-y1)/(x2-x1)
-3/4 = (4-y1)/(6-0)
-3/4 = (4-y1)/6
-(3/4)*6 = 4 - y1
-18/4 = 4 - y1
y1 = b = 16/4 + 18/4 = 34/4 = 8 1/2
therefore the correct answer should be:
Equation of the line:
y = -3/4x + 8 1/2
Can somebody pls help me :<
Answer:
True.
We can see that the line goes through (0, 0), however, the line is not dotted, therefore that point is included. (0,0) also coincides with the other inequality, which means that (0, 0) is a solution.
Which expressions can be added to find the volume of the solid figure?
Select all that apply.
Answer:
Option A and D will be your answer
Step-by-step explanation:
hope it helps
Which line contains the ordered pair (-4,-2)
Answer:
I think it is the line F..
Whoever gets this right gets brainliest note ( ITS 4 FUN ! NOT A GRADE) 2+4x7=?
Graphic DesignWorks ships the T-shirts it makes in boxes that measure 22 in
x 20 in x 20 in. The company rents a storage space that measures 200 ft x
200 ft x 40 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 313,920 boxes
B. 120,000 boxes
C. 207,360 boxes
D. 8800 boxes
Answer:
313,920 boxes
Step-by-step explanation:
that good
The number of boxes Graphic Design Works is able to store is 314182 boxes.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Graphic Design Works ships the T-shirts it makes in boxes that measure 22 in × 20 in × 20 in.
Here, the volume of box = 22×20×20
= 8800 cubic inches
The company rents a storage space that measures 200 ft × 200 ft × 40 ft
Here, 200 ft = 2400 inches, 40 ft = 480 inches
Volume of a storage space
= 2400×2400×480
= 2764800000 cubic inches
Here, the number boxes = 2764800000/8800
= 314181.8
≈ 314182
Therefore, the number of boxes Graphic Design Works is able to store is 314182 boxes.
To learn more about the volume visit:
https://brainly.com/question/13338592.
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10 points!!!!!!! Plssssss helpppppp
Write the slope intercept form of the equation of the line. x + 8y = 24
PLz this is fr a quiz. There are forty - three walnut trees and thirty - four dogwood trees currently in the park. Park workers will plant more walnut trees today. When the workers are finished there will be sixty - five walnut trees in the park. How many walnut trees did the workers plant today ? explain in two sentence
a person invests 6500 dollars in a bank. the bank pays 6.75% interest compounded semi-annually. to the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 15700 dollars?
A = P(1+r/n)^nt
Answer:
t=13.28382 ≈ 13.3 years
It takes 13.3 years to amount $15700 from the principal $6500.
Given that, a person invests 6500 dollars in a bank. the bank pays 6.75% interest compounded semi-annually.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = A = P(1+r/n)^nt
Now, 15700 =6500(1+6.75/2×100)^2t
⇒ 15700/6500=(1+6.75/200)^2t
⇒ 15700/6500=1.03375^2t
⇒ 2.415=1.03375^2t
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
t=ln(2.415)/2ln(1.03375)
Decimal Form:
t=13.28141707
≈ 13.3 years
Therefore, it takes 13.3 years to amount $15700 from the principal $6500.
To learn more about the compound interest visit:
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How can I solve the following systems using Gaussian elimination method, w+2x-y=4, x-y=3 , w+2x-2y=7 2u+4v+w+7x=7?
The largest
apple pie has
radius of 20
feet. What was
its area?
help me? please?????????
Answer:
[tex]\huge\boxed{\tt{\frac{8}{63} }}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{8}{9} * \frac{1}{7} \\\\= \frac{8*1}{9*7} \\\\= \frac{8}{63} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807