To find the equation of the line through (-2, 2) and (5, -5), calculate the slope which is -1 and then use the slope-intercept form to find the y-intercept, which is 0. The equation of the line is y = -x.
Explanation:To write an equation of the line that passes through the points (-2, 2) and (5, -5), you need to determine the slope and the y-intercept of the line. First, calculate the slope (m) which is the change in y divided by the change in x: m = (y2 - y1) / (x2 - x1).
Using the points (-2, 2) and (5, -5), the slope calculation would be: m = (-5 - 2) / (5 - (-2)) = (-7) / (7) = -1. This indicates that the line has a negative slope.
Next, use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. To find b, use one of the given points and the slope you calculated: 2 = (-1)(-2) + b, which simplifies to 2 = 2 + b, and thus b = 0.
The equation of the line is therefore y = -1x + 0, which simplifies to y = -x.
In a sample of 10 cabinets, the average height was found to be 37.3in. with a standard deviation of 3.
Give a point estimate for the population variance of the height of the cabinets. Round your answer to two decimal places, if necessary.
Answer:
[tex] \sigma^2 = 3^2 \frac{10-1}{10}= 8.10[/tex]
Step-by-step explanation:
For this case we have a sample of n =10 and we have the following statistics:
[tex]\bar X = 37.3 , s= 3[/tex]
And we want to estimate the population variance. We need to remember that the population variance is given by this formula:
[tex]\sigma^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}[/tex]
And the sample variance is given by:
[tex] s^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}[/tex]
And we can find a formula for the population variance in terms of the sample deviation like this:
[tex] \sigma^2 = s^2 \frac{n-1}{n}[/tex]
And replacing we got:
[tex] \sigma^2 = 3^2 \frac{10-1}{10}= 8.10[/tex]
Help me please again :))
Answer:
x= 15
Step-by-step explanation:
85 and 6x+5 form a straight line.
They sum to 180
85+ 6x+5 = 180
Combine like terms
90 +6x = 180
Subtract 90 from each side
90+6x-90 = 180-90
6x = 90
Divide each side by 6
6x/6 = 90/6
x =15
Answer: x = 15
Step-by-step explanation: since it's a straight line so it's 180 degrees
so 6x + 5 = 95
6x = 90
x = 15
Find the surface area of the cone. Use 3.14 for pi and round to the nearest 10th. Diameter is 6ft and height is 7.6ft.
Answer:
105.2 ft²
Step-by-step explanation:
The diameter of the base of the cone is 6 ft which means its radius is:
r = d / 2 = 6 / 2 = 3 ft
Its height, h, is 7.6 ft.
The surface area of a cone is given as:
A = pi * r(r + √(h² + r²))
Therefore:
A = pi * 3(3 + √(7.6² + 3²))
A = pi * 3(3 + √(57.76 + 9))
A = pi * 3(3 + √(66.76))
A = 9.42(3 + 8.17)
A = 9.42 * 11.17 = 105.2214 ft²
Approximating to the nearest 10th, the surface area of the cone is 105.2 ft².
Lynne read 2.5 chapters of her book on Tuesday, 4.25 chapters on Wednesday, and 5 chapters on Thursday. How many chapters did she read in total during those three days
Answer:
The answer is 11.75
Step-by-step explanation:
All youre gonna do is add up all of the chapters she read which would end up giving you 11.75 therefore that is the answer:)
Answer:
11.75
Step-by-step explanation:
If you add the whole numbers first it's 11 and then you add the decimals .5 is also .50. so .50+.25=.75
In the above triangle, which angle has the largest measure?
Answer:
Angle A
Step-by-step explanation:
Angle A is the opposite angle to the longest side of the triangle.
Because the angle is larger, the side opposite of it should be long enough to connect to the two other sides.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
please help me understand and explain why it is that please
Will the area and perimeter be the same for a 12 by 12 square?
Pls explain why or why not
Answer:
No.
Step-by-step explanation:
For area you will multiply 12x12=144.
For the perimeter you will add 12+12=24
I hope this helps!
help please .. don’t understand
Answer:
sinx = p/h , cosx = b/h , tanx = p/b
you can use these relations
Step-by-step explanation:
p = perpendicular = side opposite to the angle
h = hypotenuse = side opposite to the right angle
b= base
if no angles are given, p and b can be interchanged
Solve the equation.
5u - 10 = 70
Answer:
u = 16
Step-by-step explanation:
5u - 10 = 70
Add 10 to each side
5u -10 +10 = 70+10
5u = 80
Divide each side by 5
5u/5 = 80/5
u = 16
Which of the following numbers can be expressed as a decimal that terminates? 3/2, 2/3, 3/4, 5/7
Answer:
3/2 and 3/4 are terminating decimals
Step-by-step explanation:
Terminating decimals are those whose decimals end.
3/2 = 1 .5
2/3 = .6666repeating
3/4 = .75
5/7 =.714285repeating
Answer:
3/2 and 3/4
Step-by-step explanation:
3/2=1.5
2/3= .6666...
3/4=.75
5/7=.7142...
So the only ones that terminate are 3/2 and 3/4
Find the slope of the line between these 2 points.
(6, −12), (15, −3)
Answer:
1
Step-by-step explanation:
The slope of the line can be found by
m = (y2-y1)/(x2-x1)
= (-3 - -12)/(15-6)
= (-3+12)/(15-6)
= 9/9
= 1
12 Explain A bag includes one number card each for the numbers 1-25. Each of
25 students randomly selects a number card from the bag. Carrie says that if the number
is the input and the student is the output, the relationship is a function. Mario says that if
the student is the input and the number is the output, the relationship is a function. Who
is correct? Why?
Answer:
Let us say the domain in the first case, has the numbers. And the co-domain has the students, .
Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.
The second condition is that no element in the domain should be left without an output. This is taken care by the equal number of students and the cards. 25 cards and 25 students. And they pick exactly one card. So all the cards get picked.
Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!
Which expression is equivalent to (2 + 3) + 5?
A) 2 + (3 + 5) B) 2(3 + 5). C) 2 + 15 D) 6 + 5
I NEED QUICK PLS THANK YOU FOR THE ANSWER IF YOU GIVE ME IT PLS
Answer:
The answer is A.
Step-by-step explanation:
This is Associative Law, a + (b+c) = (a+b) + c .
How many 4-digit numbers are multiples of at least one of these two numbers: 2; 5.
How many 4-digit numbers are multiples of both 2 and 5?
How many 4-digit numbers are neither multiples of 2 nor multiples of 5?
Answer:
I believe that there is 3087 multiples of 5
Step-by-step explanation:
Answer:
5400
Step-by-step explanation:
what is the area of the square units
Answer:
Step-by-step explanation:
area of square=5×5=25 u²
Below is the graph of a trigonometric function. It intersects its midline at (-1/2pi,3.3), and it has a
maximum point at (-2pi,9.8).
What is the amplitude of the function? Please show me how to do it too so I can do the rest of the problems
Answer: amplitude = 6.5
Step-by-step explanation:
The amplitude of a function is the maximum displacement from the from a fixed point or from the origin.
From the graph, you take the initial position of the object from the broken red line which is equal to 3.3 at the Y axis.
The peak or the maximum value = 9.8
Amplitude = 9.8 - 3.3 = 6.5
The maximum displacement is at Y axis
(07.01)Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin
Result of spin
Result of coin tossRed Green
Yellow Blue
Heads
Red, heads Green, heads Yellow, heads Blue, heads
Tails
Red, tails Green, tails Yellow, tails Blue tails
What is the probability that the result of the spin is blue and the coin lands heads up?
2
8
3
8
1
8
4
8
Answer:
1/8
Step-by-step explanation:
i got it right
the probabiltiy for snow today is 0.6 the probabiltiy foe anow tomorrrw of 0.4. the pr ability for snow both days is 0.1. fins the probability that it will snow at least one if the two days
Answer:
Step-by-step explanation:
1%
Answer:
1% I think. I used a calculator but sometime my calculator doesn’t work.
What is an equation of the line that passes through the points (2,-6) and (1,-1)
Answer:
x=1
Step-by-step explanation:
Btw you should put answer choices :)
Which scatter plot would have a trend line with a negative y-intercept?
Answer:
B
Step-by-step explanation:
Kendrick brought a 5 kilogram can of peanuts for $8.75. What is the unit price?
Answer:
$1.75 per can of peanuts
Step-by-step explanation:
$8.75/5=$1.75
NEED ASAP!
Consider the following graph of an absolute value function.
a) rewrite the function as a piecewise function
b) which of the following absolute value functions represents the graph?
f(x)= |x+2| -1 or f(x)= |x+1| -2
c) describe the relationship between the absolute value function and the vertex of the graph
d) what is the line of symmetry of the graph?
The absolute value function can be expressed as a piecewise function. The correct absolute value function that represents the given graph is f(x) = |x + 2| - 1. The vertex of the graph is (-2, -1) and the line of symmetry is x = 2.
a) Rewrite the function as a piecewise function: The absolute value function can be expressed as a piecewise function by considering the different intervals where the expression inside the absolute value changes its sign. In this case, the function may be written as:
[tex]f(x) = \begin{cases} -(x + 2) - 1, & \text{if } x \leq -2 \\ (x + 2) - 1, & \text{if } x > -2 \end{cases}[/tex]
b) Which of the following absolute value functions represents the graph: To determine which of the given options matches the graph, we compare the expressions inside the absolute values with the piecewise function from part (a). In this case, the correct match is f(x) = |x + 2| - 1.
c) Describe the relationship between the absolute value function and the vertex of the graph: The vertex of the absolute value function f(x) = |x + h| + k is (-h, k). In this case, the vertex is (-2, -1). This means that the graph has been shifted two units to the left and one unit down.
d) What is the line of symmetry of the graph: The line of symmetry for an absolute value function of the form f(x) = |x + h| + k is the vertical line x = -h. In this case, the line of symmetry is x = -(-2) = 2. The graph is symmetric with respect to the line x = 2.
What is StartFraction negative 23 over 6 EndFraction minus StartFraction 7 over 3 EndFraction
Answer:
-37/6
Step-by-step explanation:
Answer:
A -37/6
Step-by-step explanation:
Explain what is pi and how many number it has
Answer:3.14
Step-by-step explanation: It has inf numbers it never ends
please help me solve this quadratic equation
If there are 6 hours in a school day, 5 school days in a week, 4 school weeks in
a month and 9 months in a school year, how many hours are there in a school
year?
hours in a school year
Answer:
40,516 hours
Step-by-step explanation:
.
Answer:
1,080
Multiply all of the numbers together
Which is equivalent to 8.03 X 10^-8
Answer:
0.00000008
Step-by-step explanation:
The given value is 8.03 X 10^-8, which is already in scientific notation. None of the provided alternatives exactly match the given value. The closest number to the given value is 9.71 X 10^-8.
Explanation:The given value is 8.03 X 10^-8. This is already in scientific notation, where a number is represented as a decimal number between 1.0 and 10.0, multiplied by a power of 10. Therefore, it is equivalent to itself. If you would look for the equivalent among the options you have, none of them would match exactly the given value. The number that comes closest to your value from those given is 9.71 X 10^-8, but remember, these two are not exactly the same.
Learn more about Scientific Notation here:https://brainly.com/question/16936662
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triangle feg is similar to ihj. what is the value of h
Answer:
what i dont get what ur trying to say
Step-by-step explanation:
Maria spent 19 days traveling in South America how many hours did she spent traveling in South America
Answer:
456 hours
Step-by-step explanation:
19x24
suppose the point (3,1) satisfies the function f(×). what point would satisfy g(x)=-2f(x/2)+1?
Answer: (6, -1)
Step-by-step explanation:
Given that point (3,1) satisfies the function f(×). From the equation
g(x)=-2f(x/2)+1
x/2 = 3
x = 6
Substitute the 1 for f(x/2)
g(x) = -2(1)+1
g(x) = -2 + 1 = -1
The point that would satisfy g(x)=-2f(x/2)+1 is (6, -1)