One leg of a right triangle has a slope of -4. What is the slope of the other leg?
Answer:
Step-by-step explanation:
1/4. Two lines are perpendicular if -1/m1 = m2 where m1 and m2 are the slopes of which are perpendicular.
Rectangle MNOP with vertices M(-7, 1),
N(4, 1), 0(-4, 4), and P(-7, 4) in the line
y = -x
Answer:
[tex]M' =(-1,7)[/tex]
[tex]N' =(-1,-4)[/tex]
[tex]O' =(-4,4)[/tex]
[tex]P' =(-4,7)[/tex]
Step-by-step explanation:
Given
[tex]M = (-7, 1)[/tex]
[tex]N = (4, 1)[/tex]
[tex]0 = (-4, 4)[/tex]
[tex]P = (-7, 4)[/tex]
Line: [tex]y = -x[/tex]
Required
The coordinates of M'N'O'P'
The rule for reflection over [tex]y=-x[/tex] is : [tex](x,y) \to (-y,-x)[/tex]
So, we have:
[tex]M = (-7, 1)[/tex] [tex]\to M' =(-1,7)[/tex]
[tex]N = (4, 1)[/tex] [tex]\to N' =(-1,-4)[/tex]
[tex]0 = (-4, 4)[/tex] [tex]\to O' =(-4,4)[/tex]
[tex]P = (-7, 4)[/tex] [tex]\to P' =(-4,7)[/tex]
So, the points are:
[tex]M' =(-1,7)[/tex]
[tex]N' =(-1,-4)[/tex]
[tex]O' =(-4,4)[/tex]
[tex]P' =(-4,7)[/tex]
The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier
Answer:
0.00621
Step-by-step explanation:
We solve the above question using the
Z score formula. This is given as:
z = (x-μ)/σ/√n
where
x is the raw score = 12.20 or earlier
This means x ≤ 12.20
μ is the population mean = 13.20
σ is the population standard deviation = 2
n is the random number of samples = 25
z = 12.2 - 13.2/2/√25
z = -1/2/5
z = -1/0.4
z = -2.5
Probability value from Z-Table:
P(x≤ 12.2) = 0.0062097
Approximately = 0.00621
Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621
What is the total surface area of the triangular prism shown?
Answer:
64
Step-by-step explanation:
Answer: 192
Step-by-step explanation:
Select all expressions equivalent to 6x + 12 – 4x – 3 + 3x.
1. 2x+3x+15
2. 2x+3x+9
3. 5x+15
4. 5x+9
Select all expressions equivalent to 7x + (x + 2) + 4x.
1. 12x+2
2. 8x+2+4x
3. 11x+2
4. 7x+2+4x
Answer:
First task: 2., 5.
Second task: 1., 2.
Which figure has just one line of symmetry?
1. B
2. A
3. D
4. C
Answer:
C
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION FAST Please qucickllyyy
Answer: 21.4
Step-by-step explanation:
Area of a triangle = (1.7 * 2)/2=1.7 m2
Area of a rectangle = 3 * 2 = 6 m2
3 * 6 = 18 m2 2 * 1.7 = 3.4 m2
the total area is 18 + 3.4 = 21.4 m2
Sixty percent of the flowers in Karen's garden are roses. Which of the following shows 60% roses?
A rose and a tulip
A. 2 tulips and 3 roses
B. 3 tulips and a rose
C. A tulip and 3 roses
D. A tulip and 4 roses
Answer:
a 2 tulips and 3 roses
Step-by-step explanation:
5 goes by 20%
20%
40%
60%
80%
100%
I need help with this
Answer:
D
Step-by-step explanation:
[tex]r = \sqrt{ {(5 - 2)}^{2} + {(6 - 2)}^{2} } [/tex]
Do u know rulers <3???
Answer:
Uhh...
Step-by-step explanation:
What? Of course I know what a ruler is. One's next to me on my desk right now. Or are you talking about a ruler of a country?
One kilogram is approximately 2.2 pounds. Write a direct variation equation that relates x kilograms to y pounds.
I need help please.
Answer:
x = 2.2y
Step-by-step explanation:
Given that,
1 kg = 2.2 pounds
We know that, the relation between kg and pounds is given by :
1 kg = 2.2 pounds
The variation equation can be given by :
Let x denotes kg and y denotes pounds.
So,
x = 2.2y
Hence, the variation is x = 2.2y.
I need major help thank you
Problem 5 Statement: 1. Andre received and spent money in the following ways last month. For each example write a positive or negative number to represent the change in money from his perspective. a. His uncle gave him $25 as a present. b. He earned $18 dollars tutoring. c. He spent $10 on a book. 2. What does 0 mean in this situation?
Answer:
$48
Step-by-step explanation:
The dot plots show the heights of the players on two basketball teams.
Which statement is best supported by these data?
Answer:
hgfdcvbjk
Step-by-step explanation:
jhgfdsxzxdcfvgbhjkl
help me on this pls!!!
Answer:
NO,Step-by-step explanation:
because the ratio of their corresponding sides are not equal.
for any three dimensional figure the sum of the areas of all its faces is its
Answer:
surface area
Step-by-step explanation:
Plz guys help me plz
The function g(x) = 20,000(1.20)* represents the population of a rapidly growing
city x years after the year 2000.
What does the value g(10) - g(9) represent in terms of the given context?
A. The population was 103,196 people in 2009
B. The population was 123,835 people in 2010
C. There was an increase of 20,639 people from 2009 to 2010.
D. There was an increase of 227,031 people from 2009 to 2010.
please help me i really need help please help me please
Answer:
D
Step-by-step explanation:
. To test H0: m = 105 versus H1: m ≠ 105, a simple random sample of size n = 35 is obtained. (a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section? Why? (b) If x = 101.9 and s = 5.9, compute the test statistic. (c) Draw a t-distribution with the area that represents the P-value shaded. (d) Approximate and interpret the P-value. (e) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, will the researcher reject the null hypothesis? Why?
Answer:
A.) No
B.) test statistic = - 3.108
Check explanation
Step-by-step explanation:
H0: m = 105 versus H1: m ≠ 105
Sample size, n = 35, since we have a large sample size, greater than 30.
B.)
xbar = 101.9 ; s = 5.9
Test statistic :
T = (xbar - μ) ÷ (s/√n)
T = (101.9 - 105) / (5.9/√35)
T = - 3.1 / 0.9972820
Test statistic = - 3.11
Pvalue from Tstatistic, df = 34
Pvalue = 0.003772( Pvalue calculator)
Pvalue is the probability of obtaining a value more extreme or exactly that of the test statistic.
At α = 0.01
Pvalue < α ; We fail to reject the Null
Find the distance between the pair of points (-1, 4) and (-3, 7)
no links
Answer: d=sqrt(13)=3.605
Step-by-step explanation:
We know that the distance between the two points (x 1 ,y 1 ) and (x2,y 2 ) is
d= sqrt((x2-x1)^2 +(y2-y1)^2 )
as given
x1=-1 ,y=4 ,x2=-3,y2=7
d=sqrt((-3+1)^2+ (7-4)^2)
d=sqrt((-2)^2+(3)^2)
d=sqrt(4+9)
d=sqrt(13)=3.605
what is the area of the trapozoid? pls help :)
Answer:
13/2 or 6 1/5 or 6.5
Step-by-step explanation:
[tex]\frac{7+6}{2}[/tex]x 1
13/2 x 1
6.5x1
Find the perimeter of a quadrilateral with vertices at C (2, 4), D (1, 1), E (5, 0), and F (3, 4). Round your answer to the nearest hundredth when necessary.
9514 1404 393
Answer:
12.76 units
Step-by-step explanation:
The distance formula is useful for finding the lengths of segments between given coordinates.
d = √((x2 -x1)² +(y2 -y1)²)
Then the lengths of the line segments are ...
CD = √((1-2)² +(1-4)²) = √10
DE = √((5-1)² +(0-1)²) = √17
EF = √((3-5)² +(4-0)²) = √20
FC = √((2-3)² +(4-4)²) = 1
Then the perimeter is ...
√10 +√17 +√20 +1 ≈ 12.7575 ≈ 12.76 units
__
In the attached, the length of "polyline" CDEF is shown as 11.76. The segment FC is shown separately.
If f( a)= a^2-2a+1 what is the value of f(-4)
Answer:
Step-by-step explanation:
For this you just plug in a = -4 into the function:
f(-4) = (-4)^2-2(-4)+1 = 25
25 should be the answer.
Answer:
25
Step-by-step explanation:
f(-4) = (-4)² - 2(-4) + 1
= 16 + 8 + 1
= 25
Please help I’ll mark you as brainliest if correct!
Answer:
The answer is 75.
Proof:
75/45 when simplified is 5/3
Write an equation of the line in slope-intercept form that
passes through each pair of points.
a) (-2, -1) and (5, 13)
b) (0, -3) and (5,-5)
Answer:
A should be 2
B should be -2/5
Step-by-step explanation:
If I am wrong let me know please
2 friends equally share 5 cookies. How many cookies
does each friend get?
They both get 2 and 1/2 of a cookie!
Answer:
2 1/2
Step-by-step explanation:
The only way for the friends to get an equal amount is to split one of the cookies in half. or 5 divided by 2= 2 1/2
give proof and show work and ill give brainliest
Answer:
84in
Step by Step Explanation:
SA = 2bh + b^2
SA = 2(6)(4) + 6^2
SA = 48 + 36
SA = 84
find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).
Answer:
97.27 yd²
Step-by-step explanation:
First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.
6x5=30
30/2=15
Area of triangle=15 yd²
Find area of the middle rectangle. So multiply the length by the width.
9x6=54
Area of rectangle=54 yd²
Find area of the half circle. Formula for area of circle is [tex]A=\pi r^{2}[/tex]. Pi is about 3.14, and radius ([tex]r[/tex]) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.
[tex]\pi[/tex]x[tex]3^{2}[/tex]≈28.27
Area of circle is about 28.27 yd²
Add up the three areas.
15+54+28.27=97.27
16, 48,144,...
Find the 6th term.