Answer:
[tex]k = 1[/tex]
Step-by-step explanation:
Given
[tex]3y = 5x + k[/tex]
Opposite points: [tex](1,-2)[/tex] and [tex](-2,1)[/tex]
Required
Find k
First, calculate the midpoint of the opposite points.
[tex](x,y) = 0.5(x_1 + x_2,y_1 + y_2)[/tex]
This gives:
[tex](x,y) = 0.5(1 -2,-2 + 1)[/tex]
[tex](x,y) = 0.5(-1,-1)[/tex]
Open bracket
[tex](x,y) = (-0.5,-0.5)[/tex]
The equation [tex]3y = 5x + k[/tex] becomes:
[tex]3 * -0.5 = 5 * -0.5 + k[/tex]
[tex]-1.5 = -2.5 + k[/tex]
Solve for k
[tex]k = 2.5-1.5[/tex]
[tex]k = 1[/tex]
when twice a number is increased by 10, the sum is 42.what is the number?
Which two shapes have perimeters of 18 feet but have different areas?(1 point)
A rectangle with a length of 9 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 5 ft. and a width of 3 ft. and a square with a side length of 4 ft.
A rectangle with a length of 7 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 8 ft. and a width of 2 ft. and a square with a side length of 4 ft.
Answer:
they have different areas and different perimeters
Step-by-step explanation:
The radius of a cylinder is measured in inches. What unit will the volume be measured in?
will give brainlist
cubic inches
feet
square inches
inches
Answer:
Cubic Inches
Step-by-step explanation:
I hope this helps you.
sam said the absoulute value of 14 is -14. Kai said the absolute value of 14 is 14. Who is correct. Explain
Answer:
Kai is right.
Step-by-step explanation:
Absolute Value is always positive.
Answer:
Kia is Right.
Step-by-step explanation:
14 always stay positive and when it is like -14, So -14 Is a negative number so just take out the negative sign and you well be all set.
2/3 dividido 1/3
A- 2/9
B- 3
C- 2
D- 1/2
Answer:
C
2/3 dividido 1/3 = 2
Step-by-step explanation:
Which Number sentence is true?
Answer:
I took this a few days ago and if I remember correctly, it was B.
Answer:
it would be option B. I used a calculator, so I should be right.
A landscaper waters a lawn during the summer.
He wants to know how much water is being used
per minute. He records the amount of water used
in the table.
PLEASE NO LINK.
Answer:
Step-by-step explanation:
D bc yes
how do you find the perimeter of a half circle
Answer:
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
Step-by-step explanation: .
Answer:
πr
Step-by-step explanation:
We know the perimeter of the circle is 2πr , half the perimeter will be equal to ,
=> 2πr/2
=> πr
Hence the required answer is πr .Solve the linear inequality below.
9x – 8 > 4x + 7
Answer:
Step-by-step explanation:
9x-4>4x+7
-4x
5x-4>7
+4
5x>11/5
x>2.2
Answer:
9x-4x>7+8
5x > 15
X >3
So the answer is x >3
Y= 200,000 (0.95)^2. How many birds will be there in 10 years?
Answer:
Kathleen, a professional golfer, had an average score last season
of 80 points. This season, her average score has been 72 points.
What is the percent of decrease in Kathleen's average score
Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches
The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.
To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.
In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:
diagonal = √(side^2 + side^2 + side^2)
Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:
diagonal = √(7^2 + 7^2 + 7^2)
diagonal = √(49 + 49 + 49)
diagonal = √147
diagonal ≈ 12.124 inches
Therefore, the correct answer is:
12 inches
This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.
For more such questions on metal rod
https://brainly.com/question/14071390
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What is the volume of a cylinder, in cubic feet, with a height of 13 feet and a base diameter of 4 feet? Round to the nearest tenths place.
Answer:
V≈163.36ft³
Step-by-step explanation:
V=π(d 2)2h=π·(4 2)2·13≈163.36282ft³
Diameter= 4ft
Height=13ft
Heart me pls
pleas help due to night
Answer:
w = 28.4 yds
Step-by-step explanation:
P = 12.7 + 4 + 2w
73.5 = 16.7 + 2w
56.8 = 2w
w = 56.8/2
w = 28.4
Answer:
w = 28.4 yards. Sorry need the points.
If you have two six-sided die each labeled one through six. Which set of events has a higher probability?
A. You land on an odd number or you roll a 6.
B. You roll a 6 and roll a 4.
C. You roll a 3 and roll an odd number
D. You roll an odd number and roll a 5.
Help please please help…….
Answer:
Choice A
Step-by-step explanation:
y-intercept = -3
double-checked on calculator
Line t is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line t is 3x-y=4. Determine and state an equation for line m.
9514 1404 393
Answer:
line m: 3x -y = 8
Step-by-step explanation:
The dilation scale factor affects only the constant in a linear equation. The scaled lines are parallel to each other, so the slope, or ratio of coefficients, does not change.
3x -y = 4 scaled by a factor of 2 becomes 3x -y = 8.
John is going to make chocolate squares to sell. There are just three ingredients, chocolate, peanut butter and crisped rice, mixed in the ratio 4:2:3 respectively. A bar of chocolate weighs 200g and costs £2.50. A jar of peanut butter contains 250g and costs £1.70. A packet of crisped rice contains 300g and costs £2.00. John makes 4.5kg mixture, which he can cut 100 chocolate squares. He charges 60p for each square and sells all 100 squares. How much profit does he make
Answer:
£18.2
Step-by-step explanation:
4.5 kg = 4.5 * 1000 = 4500 g
Sharing in the ratio :
Chocolate : peanut butter : crisped rice in the ratio 4 : 2 : 3 respectively
Sum of ratio = (4 + 2 + 3) = 9
Chocolate = 4/9 * 4500 = 2000 g
Peanut butter = 2/9 * 4500 = 1000 g
Crisped rice = 3/9 * 4500 = 1500 g
1 bar of chocolate = 200 g at 2.50
2000/ 200 * 2.50 = £25.0
1 jar of peanut butter = 250 g at 1.70
1000 / 250 * 1.70 = £6.8
1 packet of crisped rice = 300g at 2
1500 / 300 * 2 = £10
Total cost of ingredients = £(25+6.8+10) = £41.8
Number of pieces of chocolate squares made = 100
Selling price per square = 60p = £0.6
Total revenue made = £0.6 * 100 = £60
Profit realized = £(60 - 41.8) = £18.2
Choose the statement that best describes the error in finding the volume of the solid.
Answer:
the formula used gives surface area instead of volume
A local theater charges $7.50 for adult tickets and $5.00 for discount tickets. The theater needs to
make at least $240 to cover the rent of the building. If 20 discount tickets are sold, how many adult
tickets must be sold?
A-less than 10 tickets
B-15 adult tickets
C-at least 19 adults tickets
D-no more than 8 adult tickets
Answer:
C
Step-by-step explanation:
the theater sold 20 discount tickets=5*20=100$
the number of tickets for adult must be =140/7.5=18.7 ~19 tickets at least
Circle the table letter below that represents a proportional relationship to this original table:
Cups of Flower Number of cookies
0.5 1 dozen
3/4 1.5 dozen
3 6 dozen
Answers:
(A)
Cups of Flower Number of cookies
1 2 dozen
1/4 0.5 dozen
1.5 3 dozen
(B)
Cups of flower Number of cookies
1 1.5 dozen
3/4 1 dozen
1.5 3 dozen
(C)
Cups of flower Number of Cookies
0.5 1 dozen
3/4 1.5 dozen
2 5 dozen
(D)
Cups of flower Number of cookies
1.5 3 dozen
3/4 0.5 dozen
4 8 dozen
Answer:
immma send you the link friend me on hereStep-by-step explanation:
- 1/2 x 2 is equal to *
А. 1
В. 1/4
с. -1/4
D. -1
i believe it would be d. -1
explanation:
you just cancel the common factor which is 2
then rewrite the expression
Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles
Answer: 0.5
Step-by-step explanation:
Given
There are 3 blue and 1 yellow marble
The chance of picking two marble out of 3 is [tex]^3C_2[/tex]
The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]
Therefore, the probability of picking 2 blue marbles
[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]
3. During geometry class, Mr. Jones constructed the perpendicular bisector of segment AB as
shown below.
If AC = 4x + 12 and BC = 2x + 18, find AB.
A. 3
B. 6
C. 24
D. 48
Answer:
D
Step-by-step explanation:
HELP ASAP IXL PLZ HELP
x=1? How to find coordinates::(
Answer:
Q'(1, -5)
R'(1, 1)
S'(5, -5)
Step-by-step explanation:
Since you're reflecting deflecting across x equals to 1 ,also our Q and R Coordinates are on the line x equals to 1 so it's going to stay same only the S coordinates would change. the X value for the coordinates gonna be +ve and Y value gonna be -ve. Because after the reflection of the point the point would lie in the fourth quadrant and in the Forth quadrant Xvalue is positive and Y value is negative.
Find the length DE. Round your answer to the nearest tenth of a meter
Answer:
13.8
Step-by-step explanation:
We can use trigonometry to find the length of DE
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For ∠FDE we are given its opposite side length ( FE ) and need to find its adjacent angle ( DE )
When working with opposite and adjacent we use the trig ratio tangent
That being said we want to create an equation to solve for (DE) ( Recall that tan = opposite over adjacent. ) ( let DE = x )
so [tex]tan(51)=\frac{17}{x}[/tex]
now we solve for x
Step 1 multiply each side by x
tan(51) * x = x tan (51)
[tex]\frac{17}{x} *x=17[/tex]
now we have x tan (51) = 17
step 2 divide each side by tan (51)
[tex]\frac{xtan(51)}{tan(51)}=x\\\frac{17}{tan(51)}[/tex]
we now have
[tex]x =\frac{17}{tan(51)} \\[/tex]
[tex]tan(51)=1.234897157\\\frac{17}{1.234897157} =13.76632856[/tex]
we're left with x = 13.76632856
Finally we round to the nearest tenth and get that the answer 13.8
Kerry wants to give each student in her class
of a small pizza for lunch. There are 30 students in her class.
How many whole pizzas does she need to buy for her class?
O A. 15
OB. 20
OC. 30
O D. 60
Answer:
I believe the answer is (A) 15.
Step-by-step explanation:
If she buys 15 pizzas and gives each student half a pizza, then that would be 30 halves. Meaning she needs to buy 15.
I HAVE LIKE 2 MORE QUESTIONS, HELP ME PLZ!
Given:
Base length of triangle = 10 units
Height of triangle = [tex]\sqrt{44}[/tex] units
Length of hypotenuse of triangle = 12 units
To find:
Exact value of Cos A
Steps:
The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.
So,
Cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos A = [tex]\frac{10}{12}[/tex]
Cos A = 0.833
Therefore, the exact value of cos A is 0.833.
Happy to help :)
If u need any help, feel free to ask
Graph ATUV with vertices T(-3, 2), UC-1, 0), and (4,-2) and its image after the glide reflection.
Answer:
T (2, 2)
U (4 , 0)
V (1, -2)
Step-by-step explanation:
The translation is (x + 5, y), meaning 5 is being added to the X-values and Y stays the same.
HELP DUE IN 15 MINS!
Assume that any lines that appear to be tangent are tangent.
perimeter =??
Answer:
Perimeter = 55.4
Step-by-step explanation:
8 + 8 + 8.7 + 8.7+ 11 + 11 = 55.4
Hope this helps!
Determine the perimeter of the shape below
Answer:
43.566 ft
Step-by-step explanation:
Straight sides: 2 long 1 short
2 x 10 + 8 = 28 ft
Curved side: Remember that the circumference of a circle is 2πr or πd.
Since this is a semicircle, divide the circumference you get by 2.
From the diagram: d = 8
total circumference = 8 x π = 8π
semicircle = 8π ÷ 2 = 4π ft
Total perimeter
= (28 + 4π) ft
= (28 + 12.566) ft (5sf)
= 43.566 ft (5sf)
The radius of the hemicircle is r = 8/2 cm = 4 cm.
So the perimeter of the hemicircle part is
[tex]\pi \times r \: = (22 \div 7) \times 4 = 12.57 \: cm[/tex]
The perimeter of the rectangular part = 10+10+8 = 28 cm.
So, the final answer is
[tex]28 \: cm + 12.57 \: cm = 40.57 \: cm[/tex]