The formula of a midpoint:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have:
[tex]A(7,\ 12)\to x_A=7,\ y_A=12\\B(-1,\ 6)\to x_B=-1,\ y_B=6[/tex]
Substitute:
[tex]\dfrac{7+(-1)}{2}=\dfrac{7-1}{2}=\dfrac{6}{2}=3\\\\\dfrac{12+6}{2}=\dfrac{18}{2}=9[/tex]
Answer: (3, 9).Members of a junior high basketball team want to brag about how tall they are. First, they measured each player’s height in inches. Now they have to decide whether the mean or the median is better. Which measure of center should the team use? Basketball team’s height (in inches) 64, 67, 83, 65, 66, 62, 69
First to find the median we need to put the numbers in order from least to greatest.
62, 64, 65, 66, 67, 69, 83
Now take a number from each side
64, 65, 66, 67, 69
Once again.
65, 66, 67
On last time
66
So the median is 66.
Now to find the mean we must add all the numbers up
64+67+83+65+66+62+69
which equals 476
Now divide 476 by the total number of heights which is 7
476/7=68
So the mean is 68
Answers: Mean; 68 Median; 66
Answer:
it's 68,66, and mean
Step-by-step explanation:
i did it on edge mu hehehehehehe
y=8-2x when x=8 the value of y
Answer:
-8
Step-by-step explanation:
Given that x and y are two variables. they are related by the function
y =8-2x
Since x and y are related, given one value we can find the other using this equation.
In our question, given that x =8
Substitute x value in the equation
y = 8-2x
y =8-2(8) = -8
Hence answer is -8:
Verify: We verify by putting -8 for y and check whether x =8
-8=8-2x
Or 2x = 16
x =8
Verified
5d-4=4-d
solve the equation
Answer: d = 0
Step-by-step explanation:
5d - 4 = 4 - d
+d +d
____________
6d - 4 = 4
-4 -4
__________
6d = 0
__ __
6 6
d = 0
[tex]5d-4=4-d\\\\6d=8\\\\d=\dfrac{8}{6}=\dfrac{4}{3}[/tex]
kind of struggling, can anyone help?
How many solutions are there to the equation below |x|=77?
[tex]Solution, \left|x\right|=77\quad :\quad x=-77\quad \mathrm{or}\quad \:x=77[/tex]
Steps:
[tex]\left|x\right|=77[/tex]
[tex]|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a, |f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a[/tex]
The correct answer is C. 2
Hope this helps!!!
<3 -austint1414
The equation |x| = 77 has two solutions: x = 77 and x = -77. This is because the absolute value of a number reflects its distance from zero, regardless of the direction.
Explanation:The equation |x| = 77 has two solutions. This is because the absolute value of a number is its distance from zero on a number line, regardless of the direction. Therefore, both 77 and -77 have an absolute value of 77.
To solve for x, you would set up two equations based on the definition of absolute value:
x = 77-x = 77, which simplifies to x = -77So, the two solutions to the equation |x| = 77 are x = 77 and x = -77.
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Which type of question leads a person to a particular answer? A.honest, B. fair, C. friendly, D. biased
It is D, biased, because biased means 'favorited', or, in a different case, 'hated'.
the number y of new vocabulary words that you learn after x weeks is represented by the equation y=15 number 17 please help A-C.
ANSWER
QUESTION 17a
We were given the relation, [tex]y=15x[/tex], where y represents the number of new vocabularies learned, and x represents the number of weeks
Draw a horizontal line for number of weeks and a vertical line for number of vocabulary words using a scale of 5 units on both axes.
To graph this equation we need at least three points,
When
[tex]x=0[/tex], [tex]y=15(0)[/tex], [tex]\Rightarrow y=0[/tex]
So we plot the point [tex](0,0)[/tex]
When
[tex]x=1[/tex], [tex]y=15(1)[/tex], [tex]\Rightarrow y=15[/tex]
So we plot the point [tex](1,15)[/tex]
When
[tex]x=2[/tex], [tex]y=15(2)[/tex], [tex]\Rightarrow y=30[/tex]
So we plot the point [tex](2,30)[/tex]
Using a straight edge we draw a straight line through these three points.
The equation of the line is of the form [tex]y=mx[/tex], where [tex]m=15[/tex] is the slope.
This tells us that the 15 new vocabulary words are learned each week.
QUESTION 17 B
To find the number of new vocabulary words learnt after 5 weeks, we plug in [tex]x=5[/tex] in to the equation.
[tex]y=15(5)[/tex]
This gives us
[tex]y=75[/tex]
Therefore after 5 weeks, you learn 75 new vocabulary words.
QUESTION 17 C
We find the number of vocabulary words learned after 4 weeks and subtract it from the number of vocabulary words learned after 6 weeks'
To find the number of new vocabulary words learnt after 4 weeks, we plug in [tex]x=4[/tex] in to the equation.
[tex]y=15(4)[/tex]
This gives us
[tex]y=60[/tex]
Therefore after 4 weeks, you learn 60 new vocabulary words.
To find the number of new vocabulary words learnt after 6 weeks, we plug in [tex]x=6[/tex] in to the equation.
[tex]y=15(6)[/tex]
This gives us
[tex]y=90[/tex]
Therefore after 6 weeks, you learn 90 new vocabulary words.
We now subtract to get
[tex]90-60=30[/tex]
Therefore you learn 30 more vocabulary words after 6 wees than after 4 weeks.
The given equation y=15x + 17 represents the number of new vocabulary words you learn every week. Here, you learn 15 new words each week. You already know 17 words at the start (when x=0).
Explanation:The question is asking for the interpretation of the equation y=15x + 17, which represents the number of new vocabulary words, y, that you learn after x weeks. Here, 15 is the coefficient of x, which means that you learn 15 new words per week. The number 17 is the constant term, implying that even without any weeks passing (when x=0), you already know 17 words. Thus, after one week, you would know 15*1 + 17 = 32 words, after two weeks, 15*2 + 17 = 47 words, and so on.
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Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base. After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen. He also finds that the perimeter of the pen is 3 times greater than the perimeter of the doghouse.
If x represents the length of the pen and y represents the area of the doghouse, then which of the following systems of equations can be used to determine the length and width of the pen and the area of the doghouse?
The table shows the current grades in one of the math classes and one of the science classes at a local high school. Find P(grade of B | science class).
The probability of obtaining a grade of 'B' in the given science class, using the concept of conditional probability, is 0.320.
To find the probability of getting a grade of 'B' given that it's a science class, also known as conditional probability, we can use the following formula:
P(grade of B | science class) = (number of students with a 'B' in science) / (total number of students in the science class).
When we apply the given numbers from the tables:
(Number of students with B in science class) = 8
(Total number of Students in the science class) = (A=5) + (B=8) + (C=10) + (D=1) + (F=1) = 25
Substituting the obtained numbers in our formula, we find:
P(grade of B | science class) = 8 / 25 = 0.320
So, the probability of getting a grade of 'B' given that it's a science class is 0.320. Therefore, the answer is O 0.320.
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The probable question may be:
The table shows the current grades in one of the math classes and one of the science classes at a local high school. Find P(grade of B | science class).
Math: A=7, B=4, C=13, D=2, F=0.
Science: A=5, B=8, C=10, D=1, F=1.
O 0.154
O 0.235
O 0.667
O 0.320
so There are 17 girls and 119 boys on a class field trip to the museum. The students need to be broken up into the largest possible groups so that each group contains the same number of students. Each group must be all girls or all boys. How many students should be in each group?
1 student in each group with 126 groups in total
Evaluate
4
E (2n-1)
n=1
16
the simplest way to evaluate is to substitute n = 1, 2, 3, 4 into the expression and sum the terms
= [(2 × 1) - 1 ] + [(2 × 2) - 1 ] + [(2 × 3) - 1] + [(2 × 4) - 1]
= 1 + 3 + 5 + 7 = 16
The density of gold is 19.3 g/cm3. What is the density in kilograms per cubic meter? A. 1.93 x 102 kg/m3 B. 1.93 x 104 kg/m3 C. 1.93 x 108 kg/m3 D. 1.93 x 10–1 kg/m3
The density of gold in kilograms per cubic meter is 1.93 x 10³ kg/m³.
Explanation:The density of gold is 19.3 g/cm³. To find the density in kilograms per cubic meter (kg/m³), we need to convert grams to kilograms and cubic centimeters to cubic meters.
1 g/cm³ = 1000 kg/m³.
Therefore, the density of gold in kg/m³ is 19.3 x 1000 = 1.93 x 10³ kg/m³.
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if five times a number is subtracted from 39 the result is the same as eight times the number what is the number
39 - 5x = 8x
Add 5x to both sides.
39 = 13x
Divide both sides by 13.
x = 3
who is good with algebra 1?
ya ah oh what is up fam
yeet lol
yeet lol
A triangle has an angle that measures 90°. What type of triangle could it be? (Choose all that apply)
scalene
acute
isosceles
right
Right and scalene. A right triangle has an angle that measures to be 90° and using the pythagorean theorem, we know that the triangle is scalene, meaning that all three sides have different side lengths. (:
3² + 4² = 5²
A triangle has an angle that measures 90° is a right angle triangle that is option D is correct.
What is a Triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Types of the triangle are as follows:
Equilateral triangleIsosceles triangleRight-angle triangle1. Equilateral triangle
It is the triangle in which all three sides are equal. And each angle is 60°.
2. Isosceles triangle
It is a triangle in which two sides are equal.
3. Right angle triangle
It is a type of triangle in which one angle is 90° and it follows the Pythagoras theorem and we can use the trigonometry function.
More about the triangle link is given below.
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[tex] \frac{4}{9}x = \frac{1}{6} [/tex]
Select the correct answer from the drop-down menu. The solution set for -2x2 + 12x = 0 is .?
{0, 12}
{0, -12}
{0, 6}
{0, -6}
Fourth is correct option, {0, -6}.
Solution:
Equation:
-2x2 + 12x = 0
= x(-2x + 12) = 0
= x= 0 , -2x + 12 = 0
-2x =-12
x = -12/-2
x = -6
Solution set = {0, -6}
solve the following equation
-4y + 8 = 4(2y - 2) - 2(-16 + 8y)
y = -4
y = 4
y = -2
y = -6
Write an equation for the relationship between time and distance for each horse
An equation for the relationship between time and distance for each horse include the following;
horse A; y = 1/4(x).
horse B; y = 5/2(x).
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx
Where:
y represents the y-variable or distance.x represents the x-variable or time.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) for each horse by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k of A = 1/4 = 8/2
Constant of proportionality, k of B = 5/2 = 10/4.
Therefore, the required linear equation for horse A is given by;
y = kx
y = 1/4(x)
Also, the required linear equation for horse A is given by;
y = kx
y = 5/2(x)
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Ella swims four times a week at her club's pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 laps each week. How many laps does she swim on Monday?
If a+b=−2a + b = -2a+b=−2a+b= -2 and x+y =−2 what is 4x+5a+4y+5b?
[tex]a + b = -2\ and\ x + y = -2\\\\4x + 5a + 4y + 5b = (4x + 4y) + (5a + 5b) = 4(\underbrace{x + y}_{=-2}) + 5(\underbrace{a + b}_{=-2})\\\\=4(-2)+5(-2)=-8+(-10)=-18[/tex]
Need some help on this
The easiest way to do this is to choose one point from image A. (I am going to choose (-5, -2). Now, where did that point move to in image A'? (1, 7)
How did the coordinates change?
The x-coordinator changed from -5 to 1 so it moved 6 units to the right.
The y-coordinates changed from -2 to 7 so it moved 9 units up.
When doing this with a graph, you can just count the units. I only provided the coordinates to help you follow my explanation.
Answer: B
-1/4u+3/2=-6 solve for U
[tex]-\dfrac{1}{4}u+\dfrac{3}{2}=-6\qquad|\cdot4\\\\\not4^1\cdot\left(-\dfrac{1}{\not4_1u}\right)+\not4^2\cdot\dfrac{3}{\not2_1}=4\cdot(-6)\\\\-u+2\cdot3=-24\\\\-u+6=-24\qquad|-6\\\\-u=-30\qquad|\cdot(-1)\\\\\boxed{u=30}[/tex]
5x-x/y when x=4 and y=2
5x-x/y when x=4 and y=2
5(4)-4/2
20-2
18
what is the contrapositive of the following statement
The Contrapositive of the statement 'If two triangles are congruent, then their corresponding angles are congruent' is: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
The contrapositive of the statement 'If two triangles are congruent, then their corresponding angles are congruent' is:
If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
The contrapositive of a conditional statement exchanges the hypothesis and conclusion, and negates both.
In this case, we negate the hypothesis 'two triangles are congruent' and the conclusion 'their corresponding angles are congruent.'
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How to find 16 Times 60
My calculator says:
16 x 60 = 960
Dmitry runs 3.1 miles on Saturday,shown by the model. He runs 2.45 on Sunday. How much farther does he run on Saturday
Answer:
0.65 miles.
Step-by-step explanation:
Dmitry runs 3.1 miles on Saturday.
He runs 2.45 miles on Sunday.
On Saturday he runs 3.1 - 2.45 = 0.65 miles farther.
Dimitry ran 0.65 miles farther on Saturday than that during Sunday.
Distance travelled in miles by Dmitry on Saturday, d₁ = 3.1 miles
Distance travelled in miles by Dmitry on Sunday, d₂ = 2.45
The difference in the distance travelled by Dimitry during Saturday and Sunday can be calculated by subtracting the distance travelled on Sunday from that during Saturday.
Subtraction is the activity or process of determining the difference between two amounts or numbers. The phrase taking away one number from another is also used to describe the act of subtracting one number from another.
So,
The difference between the distances, d = d₁ - d₂
d = 3.1 - 2.45
d = 0.65 miles
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What's 5/6 of a gallon?
If a strip is 10 times as big as the unit and the mat is 100 times as big as the strip, how many times is the mat bigger as the unit?
A strip is x10 of the unit
A mat is x100 of the strip.
Multiply 10 with 100
100 x 10 = 1000
The mat is x1000 of the unit.
hope this helps
Given that the strip is 10 times as big as the unit and the mat is 100 times as big as the strip, the mat is 1000 times bigger than the unit. This illustrates the concept of multiplication with powers of ten in real measurements.
Explanation:The question asks how many times the mat is bigger than the unit, given that the strip is 10 times as big as the unit and the mat is 100 times as big as the strip.
This maths problem involves the multiplication of sizes. Here's the step-by-step solution:
Each strip is 10 times as big as the unit, so if we assign U as the unit, the strip would be 10U. The mat is 100 times as big as the strip, which has been defined as 10U, so the mat would be 100 * 10U = 1000U.
Therefore, the mat is 1000 times bigger than the unit. This exhibits how we deal with real measurements and the use of powers of ten in multiplication.
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A principal of $1,000 is invested in an account paying an annual interest rate of 6%.
A(t) = P(1+(r/n))^(nt)
A(5) = 1000(1+0.12/2)^(2*5)
A(5) = 1000(1.06)^(10)
A(5) = $1790.85
1000 x 6%= 1000 x .06
1000 x .06 = 60
The principal is getting $60 every year for their annual interest rate.
Hope I helped!
Good Luck!