(4k+2)(k-2)/(k^2-4)(2k+1)
=2(2k+1)(k-2)/ (k^2-2^2)(2k+1)
Cancel out 2k+1
2(k-2)/(k-2)(k+2) using a^2-b^2=(a-b)(a+b)
cancel out k-2
2/k+2
Therefore numerator is 2
ABC is an isosceles right triangle in which has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1.8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of ?
A. - 1
B. 0
C. 1
D. 1.5
E. 2
Let ABC be the triangle where A is at (0, a), B is at (0, 0) and C is at (a, 0).
Note that BA = BC = a, as ABC is isosceles.
Also, ∠B = 90°
After a dilation with a scale factor of 1.8 with the origin as the center of dilation, length BA will be increased to 1.8 times and will become B'A'.
So, point A will be moved to (0, 1.8a).
Similarly, point C will be moved to (1.8a, 0).
Now, slope of A'C' = [tex]\frac{0-1.8a}{1.8a-0}[/tex]
= - 1.
Hence, the dilation preserves the slope of the hypotenuse.
Answer:
-1
Step-by-step explanation:
Choose all that are correct.
a.5x + 10 = 12 x = 5/2
b.3x + 10 = 8 x = − 2/3
c.9x + 15 = 36 x = 7/3
d.8x + 12 = 24 x = 3/2
how do I solve b-9+6b=30
Hank spins the spinner shown in the diagram 30 times. His results are as follows:
Yellow: 4
Blue: 7
Red: 5
Green: 6
Orange: 3
Purple: 5
What is the experimental probability of landing on green?
A) 1/8
B) 1/6
C) 1/5
D) 1/3
Question: What is the experimental probability of landing on green?
I think the best answer would be,
C. 1/5This is because,
30 divided by 6=5, which turns into 1/5.how far could a subway car travel in 1 hour if it's average speed was 0.96 mile per minute
1 hour = 60 minutes
If it's 0.96 miles per minute, we can multiply 0.96 by 60 to find how far it could travel in 1 hour.
0.96 * 60 = 57.6.
HEELP PLLSSS I GIVE BRAINLIEST
answer: second choice
why?: if muliply with the signs, you would get a negative product for the second choice. when you do it with the others, they come out with a positive product or 0 as the answer.
hope this helps! ❤ from peachimin
A sample with witch of these variances has a standard deviation that is greater than the variance? A. 1.75 b. 1.5 c.2.5 d 0.25
D. 0.25 is the answer you are looking for
Leah wants to put a fence around her garden her garden measures 14 ft by 15ft she has 50 ft of fencing how many more feet of fencing does Leah need to put a fence around her garden
Answer:
160
Step-by-step explanation: Once you multiply 14 ft x 15 ft you get 210 ft. But already done 50 you subtract it and get 160.
A family wants to save $100 each month. They record their progress toward this goal at the end of each month. In January they saved $120 and recorded +$20 at the end of the month. What should they record for the month of February if they only saved $80 that month? Explain.
They should subtract $ -20 because they went behind on how much they planned to save. Now this question can be tricky because some might say they lost 0 because they already had an extra $20 but it is only asking for the month of February and is only asking for each month not the entire year.
Answer:
-$20
Step-by-step explanation:
We are given that
A family wants to save each month =$100
In January, they saved=$120
They recorded at the end of the month January=+$20
In February, they saved=$80
We have to find that what should they record at the end of month February if the saved $80.
Family wants to save each month=$100
But in February,
The family saved only=$80
Therefore, they recorded at the end of month February=80-100=-$20
Hence, they should record -$20 for the month of February if they saved $80 . Because they did not achieve their target .They have $20 lack from their monthly target.
u=3xk+6xw-6xv; for x
I really need help with this can someone help me step by step?
(U/(3k+6w-6v)=x is the answer
I’m totally confused
the first one is a.
the second one is d.
the third one is b.
and the fourth one is c.
What is the area of a rectangle that has a length of 12x and a width of (x + 3)? A) 13x + 3 B) 12x + 36 C) 12x2 + 3x D) 12x2 + 36x
The area of a rectangle with a length of 12x and a width of (x + 3) is 12x² + 36x, which is option D in the provided list of answers.
To find the area of a rectangle, you multiply the length by the width. In this case, the length is given as 12x and the width is (x + 3). Multiplying these two expressions together, you get:
Area = Length × Width
Area = 12x × (x + 3)
Now, distribute the 12x across the terms inside the parentheses:
Area = 12x × x + 12x × 3
Area = 12x² + 36x
Therefore, the area of the rectangle is 12x² + 36x, which corresponds to option D in your list of possible answers.
The correct option is D.
The area of the rectangle is 12x² + 36x.
To find the area of a rectangle, multiply its length by its width. In this case, the length is given as 12x and the width is given as (x + 3).
So, Area = Length × Width = (12x) × (x + 3).
Expanding this expression, we get:
Area = 12x² + 36x.
Therefore, the area of the rectangle is 12x² + 36x.
So, the correct answer is option D) 12x² + 36x.
Here's why:
1. Substitute the given values for length and width into the formula for the area of a rectangle.
2. Multiply the length by the width, distributing the 12x over the (x + 3).
3. Combine like terms to simplify the expression.
4. The final expression for the area is 12x² + 36x.
On the dance floor half a dozen couples were throwing themselves around with the reckless abandon of a night watchman with arthritis.
Is there more to this question? The only math question I can think of that would go with this is for us to tell what a half dozen is equal to. If that is the case, the answer is 6.
Find the perimeter of the figure at the right.
The perimeter of the figure is 82.275cm.
In order to find this, we must first find the length of the arc portion. For this we will use circumference of a circle formula and then cut the amount in half (since it is a semi circle). The formula is below:
2[tex]\pi[/tex]r = C
We know the radius is 9 since it is half of the 18 that is the full diameter.
2[tex]\pi[/tex](9) = C
28.275 = C
Now we add that to the 3 other sides, which are all 18.
28.275 + 18 + 18 + 18 = 82.275
What’s the product of -5(-1.2)
-5(-1.2) = 6
Hope this helps you
-AaronWiseIsBae
HEEEELLLLLLPPPPPPP!!!!!!!!!!!!!!! 90 POINTS!!!! I HAVE A QUIZ TOMORROW AND MY TEACHER HAS TAUGHT NOTHING!!!!
Well, you already know how to simplify these equations. There is nothing complicated about these, although it may look like they are. For problem 1, (2x^2)^3 is just multiplying the exponents. Add them together, and the numerator is 2x^5. The denominator is multiplying exponents again. 4x^4 * 3x^3 gives you 12x^7. The final answer is 2x^5 over 12x^7. Focus on the questions and keep your patience. You have the sheet that tells you all the rules for simplifying these equations. It shouldn't take too long. Just focus.
Matt has 16 CDs. How many ways can he arrange the CDs so they are in equal rows?
Matt could do one of the following arrangements;
2 rows of 8 CDs
4 rows of 4 CDs
8 x 2 = 16
4 x 4 = 16
Hence,
1st Way: Matt can arrange his CDs in 8 rows and he will have 2 CDs in each row.2nd Way: Matt can arrange his CDs in 4 rows and he will have 4 CDs in each row.Therefore, the number of ways can he arrange the CDs so they are in equal rows is 2 ways
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Guess and check to find the missing numbers at this data set. The mean of the data set is 105. The mode is 108. (100, 102, ?, 108)
Answer:
The answer is 108.
Step-by-step explanation:
In order for the mode to be 108, there has to be more 108 values than any other value.
round the sum of 40.88 and 16.6 to the nearest tenth
I'm assuming you don't want the numbers to be rounded until after they're added soooo:
40.88 + 16.6 = 57.48
After rounding to the nearest tenth : 57.5
Does anyone know? Help is appreciated!
The slope is the change in Y over the change in X
Using the 2 points shown on the line (-4,3) and (3,1)
The change in Y is 1-3 = -2
The change in X is 3 - (-4) = 3+4 = 7
The slope = -2/7
The answer is B.
The price of p of an ice cream is 3.95 plus 0.85 for each topping t on the ice cream
Answer:
4.80
Step-by-step explanation:
add them up 4.80 dollars
Miranda wants to give her 14-years old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the interest rate is 10 percent per year?
Answer:
Miranda has to put $13,661 in the bank.
Step-by-step explanation:
Miranda wants to give her 14-years old daughter $20,000 when she turns 18
Miranda has 4 years to make $20,000
Rate of interest = 10% per year
Let initial deposit be $x
Final amount (A) = $20,000
Time (t) = 4 years
Rate (r) = 0.10
Formula:
[tex]A=P(1+r)^n[/tex]
Substitute the values into formula
[tex]20000\geq x(1+0.1)^4[/tex]
Now we solve for x
[tex]x\geq \dfrac{20000}{1.1^4}=13660.27\approx 13661[/tex]
Hence, Miranda has to put $13,661 in the bank.
Which of the following inequalities matches the graph?
Answers:
X < 5
X > 5
Y < 5
Y > 5
It's Answer A/The top answer. Vertical lines are x-values and horizontal lines are y-values, and since everything is shaded to the left of the purple line, it'd be x is less than or equal to 5
Answer:
[tex]x\leq5[/tex]
Step-by-step explanation:
In the graph we have vertical line at x=5
The vertical line is a solid line so we use <= or >= symbol
For vertical line , the slope is undefined
so the equation becomes x= 5
For inequality we look at the shading region
the left side of the vertical line is shaded , so we use <= symbol
The final inequality is
[tex]x\leq5[/tex]
Use two mixed numbers to write an equation with a sum of 4 1/4
2 1/8 +2 1/8 works I think.
2 1/8 plus 2 1/8 equals 4 1/4.
what kinds of triangles are the coldest ending with SSD
The only answer I could think of is Ice-sosceles traingles?
The answer to the above Math Riddle is "Ice-Scoceles" Triangle. The proper spelling is Isosceles Triangle. The riddle is just a learning tool to aid recollection.
Why are Isosceles Triangle and how are they used in real life?Isosceles triangles are triangles with two sides of equal length and two equal angles.
They are used in real life for various purposes. In construction and architecture, isosceles triangles are utilized to create stability and balance in structures such as roofs and bridges.
In geometry and trigonometry, isosceles triangles are frequently studied for their properties and relationships with other shapes.
Aso, isosceles triangles are encountered in various fields like art, design, and even everyday objects, where their symmetrical properties are aesthetically pleasing.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
What kinds of triangles are the coldest ending ?
Solve for x
0.2x -1.1
_______ =0.5
5
I did it i took a picture
Hope its ok
The diagram shows HJK which term describes point L
Answer: B. Incenter.
Step-by-step explanation:
1. The incenter of a triangle is define as the point of intersection of the angle bisectors.
2. The angle bisectors are define as the lines that cut the angles of the triangle and divide them into two equal parts.
3. Then, based on the information shown above, L is the point where the angle bisectors of the triangle HJK meet.
4. Therefore, the term that describes the point L of the triangle HJK is the option B, which is: Incenter.
Thank you that is also the answer for Apex too.
t a hockey game, a vender sold a combined total of 231 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
The vendor sold 77 hot dogs and 154 sodas at the hockey game. This was determined by setting up a system of equations from the given relationships and solving for each item.
At a hockey game, a vendor sold a combined total of 231 sodas and hot dogs, with the number of sodas being two times the number of hot dogs sold. To find the actual numbers, let's use the variables S for sodas and H for hot dogs. We can set up the following system of equations based on the given information:
S + H = 231 (The total number of sodas and hot dogs sold)S = 2H (The number of sodas is twice the number of hot dogs sold)By substituting the second equation into the first, we get:
2H + H = 2313H = 231H = 231 / 3H = 77This implies that the vendor sold 77 hot dogs. To find the number of sodas, we use the second equation:
S = 2 times 77S = 154Therefore, the vendor sold 154 sodas. We've solved the problem by using simple algebraic steps and applying the system of equations.
Geometry- Examine the diagrams below. What is the geometric relationship between the labeled angles? What is the relationship of their measures? Then, use the relationship to write an equation and solve for x.
The geometric relationship, relationship between the measure of the labelled angles, and the value of x in each case are:
a. Geometric Relationship: vertical angles
Relationship of their measures: they are equal
Equation: (3x + 5) = (5x - 5)
x = 5
b. Geometric Relation: straight line angles
Relationship of their measures: their sum equals 180
Equation: (4x + 150) + 2x = 180
x = 5
a. (3x + 5) and (5x - 5) are vertical angles opposite to each other.
The geometric relationship is "vertical angles are congruent".
This means (3x + 5) and (5x - 5) are of equal measure.Therefore equation from the geometric relation is:[tex](3x + 5) = (5x - 5)[/tex]
Solve for x[tex]3x + 5 = 5x - 5[/tex]
Collect like terms[tex]3x - 5x = -5- 5\\\\-2x = -10[/tex]
Divide both sides by -2[tex]x = 5[/tex]
b. (4x + 150) and 2x are angles that lie on a straight line.
Angles on a straight line are supplementary and will add up to give you 180 degrees.
The geometric relationship is therefore "angles on a straight line are supplementary".
Therefore equation from the geometric relation is:[tex](4x + 150) + 2x = 180[/tex]
Solve for x[tex]4x + 150 + 2x = 180[/tex]
Add like terms[tex]6x + 150 = 180[/tex]
Subtract 150 from both sides[tex]6x = 180 - 150\\\\6x = 30[/tex]
Divide both sides by 6
[tex]x = 5[/tex]
Therefore, the geometric relationship between the given measures of the angles, their equation from the relation and the x value of each are:
a. Geometric Relationship: vertical angles
Relationship of their measures: they are equal
Equation: (3x + 5) = (5x - 5)
x = 5
b. Geometric Relation: straight line angles
Relationship of their measures: their sum equals 180
Equation: (4x + 150) + 2x = 180
x = 5
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pls help! will give brainliest