Answer:
Factor by grouping Ab+4+a+4b
[tex](b+1)(a+4)[/tex]
Step-by-step explanation:
Factor by grouping:
[tex]ab+4+a+4b[/tex] (1)
We have some common terms, the term a and the number 4: [tex]ab+a+4+4b\\a(b+1)+4(b+1)[/tex]:
Now, we have other common term, (b+1)
[tex]a(b+1)+4(b+1)\\(b+1)(a+4)[/tex]
Annie is making square shaped flags to cheer on the swim team. The length of the side of the square is given by the expression 2x + 4. Which of the following gives an expression for the perimeter of the square? 4x + 8 2x + 16 8x +16 4x + 16 If x has a value of 5, what is the perimeter of the square? The perimeter is units. If x has a value of 3, what is the area of the square? Show all of your steps. Previous
The expression for the perimeter of Annie's square-shaped flag is 8x + 16 units. When x is 5, the perimeter of the flag is 56 units. If x is 3, the area of the flag is 100 square inches.
Annie is making a square-shaped flag with the side length given by the expression 2x + 4. To find the expression for the perimeter of the square, we recall that the perimeter of a square is the sum of all its sides. Since all sides of a square are equal, the perimeter is 4 times the length of one side. Therefore, the expression for the perimeter is 4(2x + 4), which simplifies to 8x + 16.
If x has a value of 5, we substitute 5 into our expression for the perimeter, giving us 8(5) + 16, which equals 40 + 16, so the perimeter is 56 units.
If x has a value of 3, the side of the square would be 2(3) + 4, which is 6 + 4, thus the side is 10 inches. The area of a square is the side length squared, so the area would be 10²or 100 square inches.
Write and solve an inequality that represents the followinh: You want to read at least 12 books over the next 3 months. Let X represent the number of books read each month.
A. 3x>12;x>4
B.4x>12;x>3
C.3x>12;x<4
D.4x>12;x<3
(The signs are Greater than or equal to AND Less than or equal to signs but I couldn't put a line under them to signify that)
What is the value of x in the triangle ?
Find M angle P
The diagram is not a scale
Jewelers building a pen for her baby turtles. She wants the pain to be 30 in long and 45 in wide. What piece of wood will Jill need to purchase to buildTurtle pin?
Find the volume of this triangular prism. Dimensions are in inches
Find the value of x on this triangle
calculate the area of a rectangle with an altitude of 30 cm and a diagonal of 50 cm
Given the diagonal and altitude of a rectangle, we can use the Pythagorean theorem to find the base. From there, multiply the base and altitude to find the area of the rectangle. In this case, the area is 1200 cm².
Explanation:The question is asking to calculate the area of a rectangle given the altitude (height) and the diagonal. We have two parameters, the altitude which is 30 cm and the diagonal which is 50 cm. From this, we can infer that the rectangle forms a right triangle with the altitude and the base being the two perpendicular sides and the diagonal being the hypotenuse. In this case, we can apply the Pythagorean theorem: base² = diagonal² - altitude².
Absolving, we find the value of the base of the rectangle: base = sqrt(50² - 30²) = 40 cm. The area of the rectangle can be calculated using the formula: Area = base x altitude = 40 cm * 30 cm = 1200 cm². Therefore, the area of the rectangle is 1200 cm².
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If the radius of the compass is 14 millimeters, what is the
approximate area of the compass?
A. 87.92 mm2
B. 615.44 mm2
C. 1,230.88 mm2
D. 43.96 mm2
HEEEEEELLLLLLPPPPPP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.
Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.
Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.
Answer:
4x=24
Step-by-step explanation:
Using the continuously compounding formula, what would the be the balance if you invest $5500 at a rate of 8% compounded continuously for 6 years? PLEASE SHOW ALL OF YOUR WORK in the space provided.
I have a formula of 10 ounces of powder to 1 gallon of water, I need to know how much powder to use to a pint.
(60 Points)
Question 1
Use the net to determine the total surface area.
(Picture 1)
A. 72 in2
B. 192 in2
C. 232 in2
D. 200 in2
Question 2
Use the net to determine the total surface area.
(Picture 2)
A.270 in2
B. 330 in2
C. 350 in2
D. 310 in2
Question 3
Use the net to determine the lateral surface area.
(Picture 3)
A. 134.4 in2
B. 72 in2
C. 103.2 in2
D. 92.8 in2
Question 4
Use the net to determine the total surface area.
(Picture 4)
A. 528 cm2
B. 480 cm2
C. 336 cm2
D. 192 cm2
Question 5
Use the net to determine the total surface area.
(Picture 5)
A. 249.6 cm2
B. 499.2 cm2
C. 108 cm2
D. 278.4 cm2
The total surface area of each of the figure are 232 inches², 310 inches², 103.2 inches², 336 cm² and 249.6 cm².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
1) Total surface area = (10 × 8) + (10 × 2) + (10 × 8) + (10 × 2) + (8 × 2) + (8 ×2)
= 232 inches²
2) Total surface area = 2 [(10 × 7) + (10 × 5) + (7 × 5)]
= 310 inches²
3) Total surface area = (2)(6)(4) + (2)(1/2)(6)(5.2) + (6)(4)
= 103.2 inches²
4) Total surface area = (4)(1/2)(8)(12) + (12)(12)
= 336 cm²
5) Total surface area = (4)(1/2)(12)(10.4)
= 249.6 cm²
Hence the total surface area area found.
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how to solve 2x squared -6x-+=0
[tex] {2x}^{2} - 6x - 1 = 0[/tex]
Which two words from the passage have nearly OPPOSITE meanings?
A influential, philosopher
B talent, interests
C support, against
D rights, changes
Can someone help me find the area
What is 10and 1/9 +7and5/6
Beth drew four quadrilaterals which of the four quadrilaterals that she Drew is a regular polygon
Please Help!! Will pick brainliest!
Use the graph of f (x) to find the solutions to the equation f (x) = 0.
A. two solutions: x = 6, -2
B. two solutions: x = -6, 2
C. one solution: x = -12
D. no solutions
The graph of f(x) have two solution: x= -6, 2.
What is Solution of function?To graphically solve a system of linear equations, we graph both equations in the same coordinate system. The system's solution will be found where the two lines intersect.
For instance, The intersection of the two lines is (-3, -4), which is the solution to this system of equations.
To find the solution of f(x) at f(x) = 0.
we need to focus on the the points where the graph cuts the x axis.
This is because when f(x)= 0 then it means that y= 0 such that the points will lies on the x axis.
Now, from seeing the function have two solutions.
Thus, the solution of the f(x) is -6 and 2.
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This is an EXPLAIN YOUR THOUGHTS QUESTION, be sure to answer ALL parts of the questions and show all your work.
Task: Find the surface area of a square pyramid with each side of the base measuring 6 cm and the slant height is 12 cm.
Part a) Identify the known values
Part b) Set up the equation that you will use to solve (be sure to include the known values and the variable that you are trying to solve for)
Part c) Solve the equation. (Be sure to include units!)
Elaina ran 2.52 miles on Monday, 4.53 miles on Wednesday, and 3.45 miles on Saturday. What percent of the total miles did Elaina run on Monday?
To calculate the percent of total miles Elaina ran on Monday, add her running totals, find the fraction for Monday, and convert it to a percentage. Elaina ran 24% of her total weekly miles on Monday.
To determine what percent of the total miles Elaina ran on Monday, we first need to calculate the total number of miles she ran for the week. Then, we'll find out what fraction represents Monday's run in relation to the total, and finally convert that fraction to a percentage.
First, we sum up the miles:
Monday: 2.52 milesWednesday: 4.53 milesSaturday: 3.45 milesTotal miles = 2.52 + 4.53 + 3.45
Total miles = 10.50 miles
Next, we determine what fraction of the total distance was run on Monday:
Monday's fraction = Monday's miles / Total miles = 2.52 / 10.50
Finally, we convert this fraction to a percentage:
Monday's percentage = (Monday's fraction) x 100 = (2.52 / 10.50) x 100
Monday's percentage = 24% (rounded to the nearest whole percent)
Thus, Elaina ran 24 percent of her total weekly mileage on Monday.
How many solutions over the complex number system does this polynomial have
3x^6-x^3-4x^2+3x+52=0
Answer:
6 complex solutions
Step-by-step explanation:
What is the square roots of 144/256?
-9/16 and 9/16
-12/16 and 12/16
-12/18 and 12/18
-72/128 and 72/128
Which of the following statements is NOT true?
1) Similar quadrilaterals have all corresponding angles.
2) Similar quadrilaterals have corresponding sides in the same proportion.
3) Similar quadrilaterals are always reflections of one another.
4) Similar rectangles have corresponding angles & sides that are in proportions
The incorrect statement about similar quadrilaterals is that they are always reflections of one another. Similarity requires equal angles and proportional sides, but does not require figures to be reflections.
Explanation:The statement that is NOT true among the ones provided about similar quadrilaterals is "Similar quadrilaterals are always reflections of one another."While similar quadrilaterals do have corresponding angles and sides that are in proportion, that alone does not necessitate that one is a reflection of the other.
Reflection involves a specific type of isometry where the figure is flipped across a line, creating a mirror image.
Similarity, on the other hand, only requires that all angles are congruent and all sides are in proportion, regardless of any reflection or orientation.
To further illustrate, consider two rectangles that are similar. They may simply have their sides scaled up or down by the same factor, without necessarily being reflections of one another.
On the other hand, two shapes that are reflections of each other would be congruent, implying that they are the same size as well as being mirror images with respect to a line of reflection.
Final answer:
The statement that is NOT true is number 3: Similar quadrilaterals are always reflections of one another.
Explanation:
The statement that is NOT true is number 3) Similar quadrilaterals are always reflections of one another.
Similar quadrilaterals have all corresponding angles (statement 1) and corresponding sides in the same proportion (statement 2). However, not all similar quadrilaterals are reflections of each other. Similarity refers to the relationship between the corresponding angles and sides of two shapes, not their orientation or position in space.
For example, consider two rectangles with different orientations, but the same angle measures and ratio of corresponding sides. These rectangles are similar, but they are not reflections of each other.
talia has 2 red,1 blue and 4 green balls of the same size in the bag talia pulls one ball out of the bag without looking what is the probability that talia will pull a red ball out of the bag
the answer is 2/7 there 2 red balls left and 7 balls all together so I am just saying the answer is 2/7 I just took the unit test
please give me the brainless thank you
Which ratio is not equivalent to the other three? A. 2/5 B. 12/25 C. 6/15 D. 18/45.
In a wooded area, you randomly select 10 trees and find that 3 are tagged. You conclude that there is a 30% probability of randomly selecting a tagged tree.
A. Empirical
B. Theoretical
A. It's Empirical (APEX)
A number x is greater than o
janis and susan went to a clearance sale at a clothing store all blouses were selling for the same price and all skirts were selling for the same price janis bought 4 blouses and skirts in total of $68 what was the cost of each blouse?
If all 4 items were blouses, each blouse would cost $17. Without knowing how many skirts were bought, we can't definitively determine the exact price of each blouse.
Explanation:In order to find the cost of each blouse we need to follow the step-by-step solution. Imagine that all items Janis purchased were blouses. As we don't know the exact number of skirts she bought, assume she bought 4 blouses for $68, so the price of one blouse would be $68 divided by 4, which equals $17. However, if Janis also purchased skirts which are not necessarily the same price as blouses, the price of a blouse could actually be less than $17. Without further information on the number and price of skirts, we can't definitively say what the price of each blouse would be.
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