Answer:
The other endpoint is (11,-9)
Step-by-step explanation:
Midpoint Formula
[tex]\large\boxed{(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )}[/tex]
We already know the another endpoint which is (3,5). We substitute x = 3 and y = 5 in the formula. You can substitute in x1, x2 or y1, y2. I'll substitute in first x-term and first y-term instead.
[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]
Because sum of two x-coordinate (along with y-coordinate) divided by two must equal to the midpoint (Let's say that you get the value of midpoint when using midpoint formula.)
Solve the equation for both terms.
[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]
Cancel the denominator by multiplying the whole equation by 2.
[tex]\large{\begin{cases} \frac{3+x}{2}(2)=7(2)\\\frac{5+y}{2}(2)=-2(2) \end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}[/tex]
Isolate x-term and y-term.
[tex]\end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=14-3\\ y=-4-5 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=11\\ y=-9 \end{cases}}[/tex]
Therefore, when x = 11, y = -9. We can write in ordered pair as (11,-9). The ordered pair (11,-9) is our other endpoint of the line segment. This can be proved by using the distance formula between midpoint and endpoints.
Note: The distance of (3,5) and (7,-2) must equal to the distance of (11,-9) and (7,-2)
−3.3 ÷ 2.2
Find the quotient. Write your answer as a decimal.
Answer:
-1.5
Step-by-step explanation:
Factor the numerator and denominators and cancel the common factors.
how to find y intercept
plz help !!!!!!!!!!!!!!!!!!!!!!
Answer:
3rd option: 2 1/2 ÷ 1/6
Step-by-step explanation:
2 1/2 ÷ 1/6 = 5/2 × 6/1 = 15mph
find the missing side lengths for x and y
Answer:
[tex]x=4;\ y=4\sqrt{2}[/tex]
Step-by-step explanation:
[tex]x=4[/tex] since it is an isosceles triangle.
[tex]y=\sqrt{4^2+4^2}=\sqrt{32}=4\sqrt{2}[/tex] due to Pythagoras' theorem.
9. I think the answer is letter A or letter B
Which number is a solution of the inequality?
b > 11.3
A. –14
B. 15
C. 9
D. 4
Answer:
B. 15
Step-by-step explanation:
Step by Step Solution
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "11.3" was replaced by "(113/10)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
b-((113/10))>0
Step by step solution :
STEP
1
:
113
Simplify ———
10
Equation at the end of step
1
:
113
b - ——— > 0
10
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 10 as the denominator :
b b • 10
b = — = ——————
1 10
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
b • 10 - (113) 10b - 113
—————————————— = —————————
10 10
Equation at the end of step
2
:
10b - 113
————————— > 0
10
STEP
3
:
3.1 Multiply both sides by 10
3.2 Divide both sides by 10
b-(113/10) > 0
Solve Basic Inequality :
3.3 Add 113/10 to both sides
b > 113/10
Inequality Plot :
3.4 Inequality plot for
b - 11.300 > 0
One solution was found :
b > 113/10
Which number is a solution of the inequality?
b > 11.3
The answers are 15,9,-14, and 4
15
Only one of the box-and-whisker plots correctly displays data about the ages of team members on a company baseball team.The statements below are all true about the team. Use the statements to correctly choose the box-and-whisker plot. • The youngest member is 20 years old. • About 75% of the members are between 24 and 36 years old. • No one is older that 36 years old. • About 50% of the members are at least 28 years old. Group of answer choices
Answer:
hello your question is incomplete attached below is the complete question
answer : option A
Step-by-step explanation:
The correct box-and-whisker plot is option A
75% is between 1st quartile and maximum value ( age )
also given that No one is older than 36 years and About 50% of the member are at least 28 years hence option A is the correct Box and whisker plot
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 542 floppy disks is drawn. Of these disks, 37 were defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
0.068 or 6.826%
Step-by-step explanation:
In order to calculate the proportion of disks that are defective, we need to divide the number of defective disks by the total amount of disks that were chosen in the given sample. Using the data provided this would be the following calculation...
37 / 542 = 0.068
We can multiply this by 100 to get the percentage value
0.068 * 100 = 6.826%
Therefore, roughly 6.826% of the entire disk population would be defective.
7(m – 6) m = 8 Evaluate this expression for the given value(s) of the variable(s).
Answer:
14
Step-by-step explanation:
7(8-6)
So, PEMDAS
7(2)= 14
14 is the answer.
QUESTION
Which shape of distribution would typically have the smallest standard deviation?
normal distribution
uniform distribution
skewed left distribution
skewed right distribution
Answer:
The shape that has the smallest standard deviation is;
Uniform distribution
Step-by-step explanation:
A uniform distribution is a probability distribution where the outcomes are equally likely such as the probability of landing any face of a die, or the probability of landing a head or a tail, or a perfect random number distribution
Therefore, the outcome of a uniform distribution are all the same and the standard deviation is zero (0)
Therefore, the uniform distribution has the smallest standard deviation.
6. The angle of elevation from a small boat to the top of a lighthouse is 25°. If the top of the lighthouse is 150
feet above sea level, find the distance from the boat to the base of the lighthouse.
Answer:
321.68feet
Step-by-step explanation:
Given the following
Top of the house above the sea level = 150feet = opposite
Angle of elevation = 25°
Required
Distance from the boat to the base of the house(adjacent)
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 25 = 150/d
d = 150/tan25
d = 150/0.4663
d = 321.68
Hence the required distance is 321.68feet
A department store offers free samples of a 2-ounce
container of lotion with every fragrance purchase. Write a
rule to describe the number of ounces of product for each
purchase. Plot 3 points on the graph to show the pattern.
Use t for the total number of ounces and ffor the ounces
of fragrance.
Answer:
The situation you are describing can be written as y=2x, or in this case t=2f, for every fragrance purchased there are 2 ounces of lotion that are given. Since the ounces of fragrance are not shown in this question, we can only make the graph on the ounces of lotion for every fragarance purchased. The points of the graph represent that for every fragrance bought, there is twice the amount of that in ounces of lotion. In summary, the rule is t=2f where t would equal purchases of fragrance and f would equal the ounces of lotion.
(If there is any more you would like to add to the question I can answer that.)
Oliver has created a plot of his backyard on the given coordinate plane, so that each unit length is one yard. He wants to design a right triangular plant bed for his backyard that has an area of eight square yards. After placing one vertex of the base of the plant bed at (3, 8) and one vertex at (7, 8) on his coordinate plane, he has to determine where to place the last vertex. Locate the possible locations of the last vertex on the coordinate plane.
Answer:
The possible locations are;
(3, 4), (3, 12), (7, 4), and (7, 12)
Please find attached the plot of the points created with Microsoft Excel
Step-by-step explanation:
The given parameters of the plot of Oliver's backyard are;
The area of the right triangular plant bed Oliver wants to design, A = 8 yd²
The length of a/each unit of the plot = 1 yard
The location of one of the vertex of the right triangular area = (3, 8)
The location of the other vertex of the right triangular area = (7, 8)
We note that the area of a triangle, A = 1/2 × Base length, B × Height, h
Let the distance between the two plotted point represent the base length, 'B', therefore;
B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;
Therefore, the base length, B = 4 yards
A = 1/2 × B × h
∴ A = 8 yd.² = 1/2 × 4 yd. × h
h = 8 yd.²/ 2 yd. = 4 yd.
The height of the right triangle, h = 4 yd.
Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;
(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).
Answer:
3,4 7,4
Step-by-step explanation:
2 is what percent of 80?
Answer:
2.5
Step-by-step explanation:
Answer:
2.5%
Step-by-step explanation:
Convert fraction (ratio) 2 / 80 Answer: 2.5%
is 250 percent of 44 less than 100 greater than 100 but less than 150 or greater than 150 explain your reasoning
Answer:
Step-by-step explanation:
It would be greater than 100 and 150. 250% of 44 is negative because 100% of 44 is 0.
What is the inverse of the function f(x) = x +3? 1 O h(x) = = x + 3 3 5x+3 = Oh(x) = rx - 3 3 Oh(x) = x-3 O h(x) = x + 3
Answer:
C
Step-by-step explanation:
the inverse of x+3 is x-3
The value of the inverse of the function f(x) = x +3 is,
⇒ h (x) = x - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x)= x + 3
Now, We can find the inverse function as;
⇒ f (x) = x + 3
⇒ y = x + 3
Solve for x;
⇒ x = y - 3
Substitute y = x and x = h (x);
⇒ h (x) = x - 3
Thus, The value of the inverse of the function f(x) = x +3 is,
⇒ h (x) = x - 3
Learn more about the function visit:
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#SPJ7
ack can someone help
Answer:
I think the surface area is 382.
WHAT IS 12X34=??
PLEASE SOMEONE HLEP ME
Answer:
408
Step-by-step explanation:
12×34
12×34
48+360
408
Answer:
408
Step-by-step explanation:
you put 12 on top and you put 34 on the bottom then you have 12x 34 then you multiply it
CORRECT ANSWER GETS BRAINLIEST. NO FILES OR LINKS PLEASE!
August hosted two dinner parties for his friends. Twenty-five guests attended the first party, and thirty-four guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party?
A.
64%
B.
70%
C.
30%
D.
36%
Answer:
36%
Step-by-step explanation:
34-25=9
9/25=36%
Which expression represents a negative number?
Answer:
The expression is A that is -b
4(3x-5)-2(5x-7) please help me i’m not it’s if it’s 2x-6 or 2x-3
Answer:
2x-6
Step-by-step explanation:
4(3x-5)-2(5x-7)
(12x-20)-(10x-14)
12x-20-10x+14
12x-10x-20+14
2x-6
Answer:
=> first multiply the numbers in bracket
4(3x-5)-2(5x-7) when we multiply for 4 and -2
12x-20-10x+14
=> then collect the like terms
12x-10x-20+14
=> 2x-6
An investment banker received a bonus and invested that money in two investments. He put a certain sum
of money in the first investment that returned 7% interest after one year. In the second investment he
Invested four times that of the first investment and got a 12% interest return after one year. If the total
interest from his investments after one year was $8,525.00, find the amount invested at each interest rate.
Answer:
Step-by-step explanation:
An investment banker received a bonus and invested that money in two investments. He put a certain sum
of money in the first investment that returned 7% interest after one year. In the second investment he
Invested four times that of the first investment and got a 12% interest return after one year. If the total
interest from his investments after one year was $8,525.00, find the amount invested at each interest rate.
Congruent, similar, or neither ?
4/14 does not = 6/20
2/12 does not = 3/18
Thus, NEITHER is the answer.
A trapezoid has base lengths of 20 units and 28 units. The area of the trapezoid is 408 square units. What is the height of the trapezoid?
Answer:
h = 17 units
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height and b₁ , b₂ the parallel bases
Here A = 408, b₁ = 20, b₂ = 28 , then
[tex]\frac{1}{2}[/tex] h (20 + 28) = 408 ( multiply both sides by 2 to clear the fraction )
48h = 816 ( divide both sides by 48 )
h = 17
find w to find the measure of the exterior angle
Answer:
by using exterior angle property I.e. sum of opposite interior angles are equal to the exterior angle
w = 50 + 50
= 100
Help me solve this problem!!
I’m giving out brainlest!!
Answer:
x= 40°
Step-by-step explanation:
since the angles of the quadrilateral add up to 360°
then to find the agle x:
step:1
add alll the angles given in the quadrilateral
100+120+100
= 320
step:2
now subtract the sum of the quadrilateral from the sum of alll angles
360°-320° = 40°
therefore the answer equates to 40°
Answer:
360-(100+120+100)
360-320
40
f (x) is an exponential function with these features: f (x) is increasing, the y-intercept is (0,1), and f (2) = 49. Which
function could be f (x)?
A: f(x)=(1/3)^x
B: f(x)=7^x
C: f(x)=3^x
D: f(x)=(1/7)^x
The exponential function is given by f(x) = 7ˣ
Exponential Function
An exponential function is in the form:
y = abˣ
Where a is the initial value of y, b is the multiplier, y and x are variables.
Given the y-intercept is (0,1), hence:
1 = ab⁰
a = 1
Also f(2) = 49, hence:
49 = (1)(b)²
b = 7
The exponential function is given by f(x) = 7ˣ
Find out more on Exponential Function at: https://brainly.com/question/12940982
Describe the graph of the solution to the inequality 8x + 17 ≥ 137
Answer:
Simplifying
8x + 17 = 137
Reorder the terms:
17 + 8x = 137
Solving
17 + 8x = 137
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-17' to each side of the equation.
17 + -17 + 8x = 137 + -17
Combine like terms: 17 + -17 = 0
0 + 8x = 137 + -17
8x = 137 + -17
Combine like terms: 137 + -17 = 120
8x = 120
Divide each side by '8'.
x = 15
Simplifying
x = 15
DO NOT SEND ME PDFS!!!
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B.
Part A: A homeowner wants to purchase new carpet for his rectangular living room, which is 8 feet wide and 12 feet long. What is the area of the carpet needed to completely cover the floor of the living room? Choose the correct answer.
Part A: Bianca wants to wrap a gift for her sister. The gift is in a box with a length of 10 inches, height of 2 inches, and depth of 3 inches. What is the minimum amount of wrapping paper Bianca needs to completely cover the box?
Part B: Greg had a rectangular vegetable garden that was 4 feet wide by 5 feet long. He increased the length of his garden by 2 feet and doubled the width. How many square feet larger is the area of his new garden compared to the area of his old garden? In a short paragraph, explain your answer in your own words.
Answer:
Man yur tripping playstation better jhit
Step-by-step explanation:
You purchase a $220 airline ticket. You have a discount code to receive 10% off. How much will your ticket cost you?
Answer:
$198
Step-by-step explanation:
Take 220 then multiply it by .10 (10%)=22
Then subtract that from 220
220*.10=22
220-22=198
1/3 x4 need help asap
Answer:
4/3 or 1 1/3
Step-by-step explanation:
