Answer:
18
Step-by-step explanation:
it is good
15 POINT QUESTION! Multiply and simplify. (4x−2)(3x^2−2x+1)
what is the value of 4 in 546210
Which expression represents the prime factorization of 84?
If 4/5 X a= 2/5, what is a?
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3, -2), B(6, -2), C(6, 5), and D(3, 5). What is the area of rectangle ABCD?
Answer:
21
Step-by-step explanation:
a = 6-3 = 3
b = 5 -(-2)= 7
Area = a*b = 3*7 = 21
The area of rectangle ABCD which is graphed in the coordinate plane with vertices A(3, -2), B(6, -2), C(6, 5), and D(3, 5) is 21 unit².
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle.
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3, -2), B(6, -2), C(6, 5), and D(3, 5).
The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
The distance from A to B is the length of the rectangle. The distance of line segment AB is,
[tex]W= \sqrt{(3-6)^2 + (-2-(-2))^2}\\W = \sqrt{(-3)^2 + (0)^2}\\W=\sqrt{9}\\W=3\rm\; units[/tex]
The distance from B to C is the width of the rectangle. The distance of line segment BC is,
[tex]L = \sqrt{(6-6)^2 + (-2-5)^2}\\L = \sqrt{(0)^2 + (-7)^2}\\L=\sqrt{49}\\L=7\rm\; units[/tex]
Thus, the area of rectangle ABCD is,
[tex]A=7\times3\\A=21\rm\; unit^2[/tex]
Hence, the area of rectangle ABCD which is graphed in the coordinate plane with vertices A(3, -2), B(6, -2), C(6, 5), and D(3, 5) is 21 unit².
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The equation - 5x² + 72x + 378 models the number of students enrolled in a school where x is the number of years since the school first opened in 1990. Which statement is true? A - Enrollment exceeded 650 students at one point B Enrollment never exceeded 650 students C The highest enrollment of any year was exactly 650 students D There were two years where 650 students were enrolled
a 56 inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and a third piece is four times as long as the first piece if x represents the length of the first please find the length of all three pieces
If the ratio of men to women is 3:2 and there are 120 men, how many women would there be?
What is the square of 2/3 I really need help I’m so confused
6x+8=7x+13
one solution
infinite solution
no solution
which one?
The simplification 6x + 8 = 7x + 13 is one solution. The correct option is A.
What is one solution?There is just one correct answer to some equations. There is only one value for the variable in these equations that causes the equation to be true.
If you solve an equation and the result is a variable equal to a number, the equation has just one solution. There is only ever one real number solution to a quadratic problem. A system is deemed consistent if it has at least one solution.
A consistent system is independent if it only has one solution. A consistent system is dependent if there are an endless number of possible solutions. Both equations show the same line on a graph when you plot the equations.
Therefore, the correct option is A, one solution.
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Solve the quadratic equation by completing the square.
x^2 - 10x + 18 = 0
Help ASAP!!
[tex]3 - 1 \times \frac{3}{5} = [/tex]
How many unit cubes are in the rectangular prism?
A)
12 cm3
Eliminate
B)
15 cm3
C)
20 cm3
D)
60 cm3 What is the BEST estimate for the capacity of a bath tub?
A)
50 fluid ounces
B)
50 gallons
C)
50 cups
D)
50 pints
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What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 5.5? A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm. Perimeter = 50 cm, area = 155.25 cm2 Perimeter = 50 cm, area = 1,452 cm2 Perimeter = 154 cm, area = 155.25 cm2 Perimeter = 154 cm, area = 1,452 cm2
Find the missing number(?) so that the equation has no solutions. ?x+3=3(-x+7)
List all the angles which are congruent to angle A!! ( a pair of parallel lines is cut by a transversal as shown in the figure)
Answer: A, C, E, & G
Step-by-step explanation:
what is the answer to Divide 2800 by 10
Jason ate one third of a pizza for dinner, and his brother ate one sixth of the same pizza.What portion of the pizza was left over?
Jason and his brother ate a total of one half of the pizza when their portions, one third and one sixth respectively, are combined. Therefore, one half of the pizza was left over.
To calculate this, we add the fractions of the pizza that were consumed together:
Jason's portion: 1/3
Brother's portion: 1/6
We find a common denominator, which is 6 in this case, and sum the fractions:
(2/6) + (1/6) = 3/6
After simplifying 3/6, which is one half, we subtract this from the whole pizza to find the portion that is left:
1 - 1/2 = 1/2
Therefore, one half of the pizza was left over after Jason and his brother had their portions.
Figure ABCD is a parallelogram.
What is the value of x?
What are the amounts of interest and maturity value of a loan for 150,000 at 6 1/2% simple interest for 3 years?
The formula for computing the amount of simple interest is:
I = Prt
Where P = principal amount of the loan
r = interest rate of the loan
t = duration of the loan
Substituting the amounts in the formula,
I = (150,000) (6.5%) (3)
= 29,250
To compute for the maturity value, you have to add the interest to the principal amount:
Maturity value = 150,000 + 29,250 = 179,250
To calculate the amount of interest and maturity value of a loan, use the formula: Interest = Principal × Rate × Time. In this case, the interest is $29,250 and the maturity value is $179,250.
Explanation:To calculate the amount of interest and maturity value of a loan, we can use the formula:
Interest = Principal × Rate × Time
Maturity Value = Principal + Interest
In this case, the principal is $150,000, the rate is 6.5% (0.065 in decimal form), and the time is 3 years.
Step 1: Calculate the interest
Interest = $150,000 × 0.065 × 3 = $29,250
Step 2: Calculate the maturity value
Maturity Value = $150,000 + $29,250 = $179,250
Therefore, the amount of interest is $29,250 and the maturity value of the loan is $179,250.
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A computer randomly selects a number from the given set.
{18, 47, 51, 60, 63, 65}
What is the probability that a number greater than 50 is selected?
Enter your answer as a fraction, in simplest form, in the box.
P(> 50) =
In the figure, lines a, b, and c are parallel and m∠4=48° .
Drag and drop the correct angle measure for each angle.
The values of each angle are:
∠1 = 48
∠2 = 132
∠3 = 132
∠5 = 48
We have,
∠4 = 48
∠4 and ∠5 are corresponding angles.
so,
∠5 = 48
Now,
∠3 and ∠4 make a straight angle.
So,
∠3 + ∠4 = 180
∠3 = 180 - 48
∠3 = 132
Now,
∠2 and ∠3 are alternate angles.
So,
∠2 = ∠3 = 132
Now,
∠1 and ∠2 make a straight angle.
So,
∠1 + ∠2 = 180
∠1 = 180 - 132
∠1 = 48
Thus,
∠1 = 48
∠2 = 132
∠3 = 132
∠5 = 48
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A scale on a hiking map shows that 1.5 inches =4 miles. What number of actual miles are represented by 6 inches on the map?
c/9 - 8 = 17
Solve the equation and show all work please show steps!!
The ratio of the corresponding linear measures of two similar cans of fruit is 4 to 7. The smaller can has a surface area of 220 square centimeters. Find the surface area of the larger can
Solve for y 3/11 = 6/y
Answer:
Khan academy says 22 is the correct answer
Step-by-step explanation:
It just does
Lee wants to cut this piece of canvas into two rectangles that are 3x2 and 3x5. He wants the sum of the two small rectangles to be the same as the area of the large rectangle. Can he do this? explain
HELP MEEEEEEEEEEEEEEEEEEE @Louli Just give the answer!!
what is 3.87 rounded to the nearest tenth
The line plot shows the number of hours two groups of teens spent studying last week.
How does the data compare for the two groups of teens?
A)The range for the hours spent studying last week for the 13- to 15-year olds is the same as the range for the hours spent studying last week for the 16- to 18-year olds.
B)The median value for the hours spent studying last week for the 13- to 15-year olds is greater than the median value for the hours spent studying last week for the 16- to 18-year olds.
C)The mode for the hours spent studying last week for the 13- to 15-year olds is less than the mode for the hours spent studying last week for the 16- to 18-year olds.
D)The 13- to 15-year olds spent an average of 14 hours studying last week.