To find the coordinate of point C, we use the midpoint formula which considers the midpoint as the average of the endpoints' coordinates. After substitifying given values, we find that point C is located at (6, 2).
Explanation:The coordinate of point C can be found using the concept of midpoint. In a line segment, the midpoint is the point exactly in the middle, meaning it has the average coordinate of the two endpoints. Here, point M is the midpoint of segment BC, and we know the coordinates of M and B.
The x-coordinate of the midpoint is (X_B + X_C) / 2, and the y-coordinate of the midpoint is (Y_B + Y_C) / 2. Substituting the given values, we get:
6 = (6 + X_C) / 2, which simplifies to X_C = 6.
And, 5 = (8 + Y_C) / 2, which simplifies to Y_C = 2.
So, point C is at (6, 2).
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Sketch a rectangle and label its dimensions that meets the following conditions perimeter 18 area 20
Answer:
4 units by 5 units
Step-by-step explanation:
To solve this problem, then we must develop two equations; one for the perimeter and another for the area of the rectangle.
The perimeter of a rectangle = 2(L +B)
The area of a rectangle = L x B
Let the length be represented by L while the breadth is denoted by B. Then, our equations are
2L + 2B =18 --- eq 1
and
LB = 20 ----- eq 2
From eq 2, then L = 20/B
We shall substitute this in equation 1 such that
2(20/B) + 2B =18
= 40/B + 2B = 18
= 40/B + 2B/1 = (40 + 2B^2) /B =18
We do cross multiplication by multiplying both sides of the equation by B.
We get
40 + 2B^2 = 18B
We then rearrange the equation as 2B^2- 18B + 40 = 0
Dividing both sides by 2, we get B^2- 9B =20 =0
We shall get the roots of the equation to be -4 and -5. Why?
-4B-5B =-9 and -4x-5 =20
Thus, B^2- 9B =20 =0 can be reworked as
(B-4) (B-5)= 0 From B-4=0, B= 4
From LB =20, If B =4, then L =20/4 = 5
From B-5=0; B=5
From LB =20, If B=5, L = 20/5 = 4
Thus, the dimensions of the rectangle are 5 units and 4 units.
23. The price of jeans was reduced $6 per week
for 7 weeks. By how much did the price of
the jeans change over the 7 weeks?
Answer:
$42
Step-by-step explanation:
Every week, the price of jeans reduced by $6.
The total value of price reduction over the 7-week period can be calculated as the product of price reduction per week and the number of weeks. Thus,
Total price reduction = price reduction per week x number of weeks
= $6 x 7
=$ 42
What is the slope of the line in the graph?
Answer:
answer is 1 hoping I'm right
In the number 767, does the first 7 have the same value as the final? Why or why not?
Answer:
In the number 767, the first 7 does not have the same value as the final 7. This is because the first 7 is in the hundreds place, and that would be 700, if the other numbers weren't there. On the other hand, the last 7 is in the ones place, so if it was by itself, it would be just 7.
Can you help and when you answer please put down the letter of the question you are answering
Answer:
a. 10 5/8
b. 1 4/9
c. 5 7/12
d. 17 5/6
e. 5 1/10
f. 4 7/8
g. 133 3/8
h. 24 11/12
i. 19 7/10
j. 11 5/12
k. 1 5/12
l. 13 7/9
Step-by-step explanation:
Hello! The step by step solution is to simply add them together. Let's take a. 7 3/8 + 3 1/4 for an example. Change the denominator (the bottom number of the fraction) into something both can go into. 4 can go into 8 and 8 can go into 8. Rewrite the fractions beside the actual numbers. Example: /8 and /8 then remember, 4 goes into 8 two times. So do 1x2=2. Then remember 8 goes into 8 1 time so do 3x1=3. Add the two fractions 3/8+2/8= 5/8. Then add the whole numbers as well. 7+3+5/8= 10 5/8. I know that it's really confusing explaining it through words but if you ever need further explanation don't hesitate to ask! :)
A number cube, labeled 1 to 6, is rolled once. What is the theoretical probability that a 4 is rolled
Answer:
1 out of 6 chance
Step-by-step explanation:
Since there are 6 possible numbers that could be rolled, and 1 number, the number 4, the chances are a 1 out of 6 chance.
An airplane is at an elevation of 4,280 ft. It ascends 500 ft and later descends1,500 ft. What is its final elevation?
Answer: 5280
Step-by-step explanation: just do 4280-500=3780
and then add 1500 to 3780 and you get 3180+1500=5280 wich is your answer
k/7 = 32/56
k=
What does k equal
Answer:One solution was found :
k = 400
Reformatting the input :
Changes made to your input should not affect the solution:
(1): ".56" was replaced by "(56/100)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
k/7-(32/(56/100))=0
Step by step solution :
Step 1 :
14
Simplify ——
25
Equation at the end of step 1 :
k 14
— - —— = 0
7 25
Step 2 :
14
Divide 32 by ——
25
Equation at the end of step 2 :
k 400
— - ——— = 0
7 7
Step 3 :
k
Simplify —
7
Equation at the end of step 3 :
k 400
— - ——— = 0
7 7
Step 4 :
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
k - (400) k - 400
————————— = ———————
7 7
Equation at the end of step 4 :
k - 400
——————— = 0
7
Step 5 :
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
k-400
————— • 7 = 0 • 7
7
Now, on the left hand side, the 7 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
k-400 = 0
Solving a Single Variable Equation :
5.2 Solve : k-400 = 0
Add 400 to both sides of the equation :
k = 400
One solution was found :
k = 400
Step-by-step explanation:
What is the difference of the polynomials? (5x3 + 4x2) – (6x2 – 2x – 9) –x3 + 6x2 + 9 –x3 + 2x2 – 9 5x3 – 2x2 – 2x – 9 5x3 – 2x2 + 2x + 9
Answer:
5x^3 - 2x^2 + 2x + 9.
Step-by-step explanation:
(5x^3 + 4x^2) – (6x^2 – 2x – 9)
Remove the parentheses . Note the negative is distributed over the second parentheses:
= 5x^3 + 4x^2 – 6x^2 + 2x + 9
= 5x^3 - 2x^2 + 2x + 9.
Answer:
d
Step-by-step explanation:
edge 2020
-2(4-1) = -16 +y
What does y equal
Answer:
10
Step-by-step explanation:
[tex]-2(4-1) = -16 +y\\-2(3) = -16 +y\\-6 = -16 +y\\y = 16 - 6\\y = 10[/tex]
1. What number divided by 4 1/5 is of 100?
Answer:
420
Step-by-step explanation:
Let the number be x
x / (4 1/5 ) = 100
x / (21/5 ) = 100
x = 100 * (21 / 5) = 20 * 21 = 420
HURRY BEIN TIMED I NEED HELP QUICK!!!!!!
A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 3, 3), (0, 3), and the point (4, 3). The other line is labeled g(x) and passes through (negative 4, negative 3), (0, 0), and the point (4, 3).
Which input value produces the same output value for the two functions on the graph?
x = −1
x = 0
x = 3
x = 4
Answer: x = 4
Step-by-step explanation:
Given : A coordinate grid with 2 lines.
One line, labeled f(x) passing through (- 3, 3), (0, 3), and the point (4, 3). (i)
The other line is labeled g(x) and passes through (- 4, -3), (0, 0), and the point (4, 3). (ii)
We generally denote x values as input values and y values as output values.
From (i) and (ii), the common point on both lines = (4,3)
Here, input value = 4
Output value = 3
Hence, the input value produces the same output value for the two functions on the graph : x=4
whats the place value of 9,275 and 9,527
Answer:
The nine in 9275 is the thousands, the 2 in 9275 is the hundreds and the 7 in 9275 is the tens and the 5 in 9275 is the ones so try the second one u got this
Eight increased by the product of a number and 5 is at most -28 (translate the sentence into an inequality)
Answer:
The inequality would be 8+5x[tex]\leq[/tex]-28
Step-by-step explanation:
The sentence says "8 increased", this is telling you that the inequality includes the number 8 that is being added to something else.
"Product of a number and 5", this tells you that there is a variable that is being multiplied by 5.
"at most -28" means that it is less than or equal to -28.
The sentence 'Eight increased by the product of a number and 5 is at most -28' is translated into the inequality 8 + 5x <= -28, which simplifies to x <= -7.2.
Explanation:The sentence "Eight increased by the product of a number and 5 is at most -28" can be translated into the following inequality:
Let x be the unknown number. Then the product of this number and 5 would be 5x. According to the sentence, if you increase eight by this product (which is 8 + 5x), the result should be 'at most -28'. In mathematical terms, 'at most' means less than or equal to. So, the inequality that represents this sentence is:
8 + 5x ≤ -28
To solve the inequality, subtract 8 from both sides:
5x ≤ -28 - 8
5x ≤ -36
Finally, divide both sides by 5 to isolate x:
x ≤ -36 / 5
x ≤ -7.2
This inequality means that x, the unknown number, must be less than or equal to -7.2.
6. Dakota got a job at IKEA. He will be getting paid $4.25 per hour for testing the sofas and beds. How much will he earn
for 7 hours of hard work testing those sofas and beds?
Answer:
Yeah so its obvious
Step-by-step explanation:
you just multiply 7 x 4.25
Dakota will earn $29.75 for 7 hours of work at IKEA, by multiplying his hourly wage of $4.25 by 7 hours.
Dakota will be getting paid $4.25 per hour for testing sofas and beds at IKEA. To find out how much Dakota will earn for 7 hours of work, we simply need to multiply the hourly wage by the number of hours worked. The calculation is as follows:
Calculation
Hourly Wage: $4.25
Hours Worked: 7 hours
Total Earnings = Hourly Wage imes Hours Worked
= $4.25 times 7
= $29.75
Therefore, Dakota will earn $29.75 for 7 hours of work testing sofas and beds.
x square= 121 can anyone solve it
Answer:
Picture is the answer.
Step-by-step explanation:
What’s the volume of a cone with a radius of 3cm and a height of 4.5cm
Answer:
42.41
Step-by-step explanation:
V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]=π * [tex]3^{2}[/tex] * ≈ 42.4115
The volume of a cone with a radius of 3cm and height of 4.5cm is approximately 42.41 cubic centimeters.
The volume (V) of a cone can be found using the formula: V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. To find the volume of a cone with a radius of 3cm and a height of 4.5cm, we substitute these values into the formula:
V = (1/3)π(3cm)²(4.5cm)
Calculating this further:
V = (1/3)π(9cm²)(4.5cm)
V = (1/3)π(40.5cm³)
V ≈ (1/3)(3.14159)(40.5cm³)
V = 42.41cm³
Therefore, the volume of the cone is approximately 42.41 cubic centimeters.
1. Convert the number to scientific notation.
265, 984, 325, 100
2.66 ×[tex]10^{11}[/tex]
Hope this helps
If x= –4 and y= 3 , what is the value of x–3y2 ?
Answer:
-31
Step-by-step explanation:
(-4)-3(3)^2
-4-3(9)
-4-27=-31
Hey!
---------------------
Solution:
= x - 3y²
= (-4) - 3(3)²
= (-4) - 27
= -31
---------------------
Answer:
-31
---------------------
Hope This Helped! Good Luck!
(-7)2 (-5)3= evaluate
Answer:
Step-by-step explanation:
(-7)2 (-5)3 = -14 * -15 = 210
Which is the graph of linear inequality 2y > x – 2?
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.
Answer:
Option 3
Step-by-step explanation:
Given : Linear inequality [tex]2y>x-2[/tex]
To find : Which is the graph of linear inequality ?
Solution :
Linear inequality [tex]2y>x-2[/tex]
First we figure out the slopes and coordinates through which it pass.
The linear equation is [tex]2y=x-2[/tex]
The general slope form of line is [tex]y=mx+c[/tex]
Where, m is the slope and c is the y-coordinate
Re-write the equation [tex]y=\frac{1}{2}x-1[/tex]
On compare,
Slope is positive [tex]m=\frac{1}{2}[/tex]
The y-coordinate is (0,-1)
For x-coordinate put y=0,
[tex]2(0)=x-2[/tex]
[tex]x=2[/tex]
The x-coordinate is (2,0).
Now, Plotting the linear inequality and mark the point (-4,-3).
Refer the attached figure below.
We get, On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
Therefore, Option 3 is correct.
Final answer:
The correct graph of the linear inequality 2y > x - 2 will be represented by a dashed line with a positive slope, where the shaded area is above the line representing all points where y is greater than 0.5x - 1. Thus, option 3 is correct.
Explanation:
The graph of the linear inequality 2y > x – 2 must be represented by a dashed line because the inequality is strict (does not include the line itself). First, we should identify whether the line is dashed or solid and the slope of the boundary line from the equation. Since it is a 'greater than' and not 'greater than or equal to' inequality, the line will be dashed. Now let's rearrange the inequality to the slope-intercept form, which is y = mx + b, to find the slope and y-intercept:
2y > x – 2
y > 0.5x - 1
Here, the slope (m) is positive, which is 0.5, and the y-intercept (b) is -1. Therefore, the line rises by 0.5 on the y-axis for every increase of 1 on the x-axis. The y-intercept tells us the line will cross the y-axis at (0, -1). Hence, the line will have a positive slope, and the shaded region should be above the dashed line indicating all points where the y-values are greater than those on the line.
Mark's computer weighs 35.769 pound
What is the weight of his computer
rounded to the nearest hundredth?
Answer:
Step-by-step explanation:
35.800
(7•7•7•7•7)•6•6•6•6•6•6. Write your answer using a exponent.
Answer:
Step-by-step
In the exponent we write how many times the number is repeated.
[tex]7^{5}[/tex] x [tex]6^{6}[/tex]
Answer:
7⁵ x 6⁶Step-by-step explanation:
We have 5 7's and 6 6's.
I'm always happy to help :)
Danielle can run one mile in 8.835 minutes Alex can run 1 mile and 9.75 minutes how much longer in minutes does it take for Alex to run 1 mile that it takes Danielle
Answer:
0.915 minutes
Step-by-step explanation:
First, take the 9.75 minutes that it takes Alex and the 8.835 minutes it takes Danielle.
Second, line up the numbers annexing zeros as placeholders as needed.
Third, subtract them
9.750
-8.835
-----------
0.915
What else would need to be congruent to show that ABC = XYZ by ASA?
Given:
Z=C
CB=ZY
A. Y=B
B. AC=XZ
C. BC=YZ
D Z=A
The answer would be A because line CB is equivalent to ZY tight? And angles Z and C are congruent. We also know that they are congruent by a ASA relationship, so then angles Y and B are congruent, the answer is A.
To establish that triangles ABC and XYZ are congruent by ASA, we need two pairs of angles and one pair of sides to be congruent. Given that angle Z equals angle C, side CB equals side ZY, the missing piece is option D: Z equals A.
Explanation:In the problem statement, we're given that triangle ABC = XYZ by ASA, which stands for Angle-Side-Angle congruence. To establish this, we require two angles and one side of the triangle to be congruent. The given details tell us that angle Z is congruent to angle C, and side CB is congruent to side ZY.
To complete the ASA proof, we need another pair of angles to be congruent. Based on the options presented in the question, option D Z=A will fulfill this requirement, thereby proving ABC = XYZ by ASA.
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you only have a 1/4 measuring cup and a recipe calls for 8 3/4 cups of flour how many 1/4 cups would you need to use?
Answer:
35 cups are needed.
Step-by-step explanation:
We have to divide 8 3/4 by 1/4.
Convert to improper fraction.
8 3/4 = [(8*4) + 3] / 4
= 35 / 4.
35/4 / 1/4
= 4*35 / 4
= 35 cups.
To measure out 8 3/4 cups of flour using a 1/4 measuring cup, you would need to use 35 1/4 cups.
Explanation:To determine how many 1/4 cups you would need to use, you can divide the total amount of flour required by the size of the measuring cup. In this case, the recipe calls for 8 3/4 cups of flour. So, you would divide 8 3/4 by 1/4.
When you divide a fraction by another fraction, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/4 is 4/1, which is the same as 4. So, 8 3/4 ÷ 1/4 is equal to 8 3/4 * 4, which is 35.
Therefore, "you would need to use 35 1/4 cups to measure out 8 3/4 cups of flour".
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factor completely 3x^2+9x-3
3(x^2+3)
3(x^2+3-1)
3x(x^2+3x-1)
prime
Answer:
Answer from the answer data to choose from
3(x² + 3x - 1)Factor completely
[tex]3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)[/tex]
Step-by-step explanation:
[tex]3x^2+9x-3=(3)(x^2)+(3)(3x)-(3)(1)\\\\=(3)(x^2+3x-1)\\\\\text{For}\ x^2+3x-1\ \text{use the quadratic formula}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x^2+3x-1\to a=1,\ b=3,\ c=-1\\\\x=\dfrac{-3\pm\sqrt{3^2-4(1)(-1)}}{2(1)}=\dfrac{-3\pm\sqrt{9+4}}{2}=\dfrac{-3\pm\sqrt{13}}{2}=-\dfrac{3\pm\sqrt{13}}{2}\\\\3x^2+9x-3=3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)[/tex]
Find the total cost to the nearest cent.
$9,000 car: 5% sales tax
Answer:
$9,450.00
Step-by-step explanation:
to take sales tax, you convert the % into a decimal ( in this case 5% is equal to 0.05) and multiply that by the cost of the product:
9,000 x 0.05 = 450
that is the amount that you pay in tax. In order to get the entire total add that amount to the original price:
9,000 + 450 = 9,450
what is 7.56 in fraction form
Answer:
Step-by-step explanation:756/100
Answer:
756/100
189/25 (simplest form)
7 14/25 ( mixed number)
Step-by-step explanation:
To write 7.56 as a fraction you have to write 7.56 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
7.56 = 7.56/1 = 75.6/10 = 756/100
10. T-shirts normally cost $12 each. Two shops have a
special offer on these T-shirts.
EcoShir
One fourth OFF the
Pay for three T-shirts and get one free
budgetShirts
one fourth off the normal price
Stephen wants to buy 30 T-shirts.
Work out at which shop, Stephen will get the better
deal. You must show clearly how you got your
answer.
Answer:
The EcoShir shop
Step-by-step explanation:
as he needs to pay 4dollar for 1 shirt
so if he pays for 3 = 12 dollar for 4 shirts
and thus need to pay maximum 96 dollars
for 32 Tshirts
but needs to pay 120 in budgetShirts for 30 Tshirts