Answer:
2/4a-4
Step-by-step explanation:
dividing 2/4a-4 is =1/2a-4
I don't know what to do can someone help
Answer:
(b) ΔRST ~ ΔRUS ~ ΔSUT(a) a = 400/21; b = 580/21Step-by-step explanation:
1.Similarity statements are written with corresponding vertices in the same order. So, there are two tasks involved: (1) identifying corresponding vertices; (2) making sure they are written in the same order in the similarity statement.
Here, we could go to the trouble to identify all pairs of corresponding vertices. Then we could write our own similarity statements and see which answer choice corresponds. However, it is sufficient to do just enough work to allow elimination of bad answer choices.
Sometimes in figures like this, it is difficult to tell the short side of the right triangle from the long side. (This figure is pretty helpful.) However, it is always possible to identify the hypotenuse of each triangle. They are ...
RT, RS, ST
What this means is that these letters should appear in the same spots in each part of the similarity statement.
(a) RT are in the 1st and 3rd spots of the first triangle name. In the second triangle name, those spots are occupied by SU--not a hypotenuse. (rejected)
(b) The 1st and 3rd spots of each statement are occupied by RT, RS, ST, so this is a viable candidate.
(c) The 1st and 3rd spots of the first triangle name are occupied by ST, but those spots of the second triangle name are SU--not a hypotenuse. (rejected)
(d) The 1st and 2nd spots of the first triangle name are occupied by RT, and those spots in the second triangle name are RS. However, those spots in the third triangle name are TU--not a hypotenuse (rejected).
The only viable choice for similarity statement is the second choice:
ΔRST ~ ΔRUS ~ ΔSUT
__
2.We can find segment 'a' by writing a proportion between sides of the largest and medium-size triangles:
hypotenuse/long side = (21 +a)/29 = 29/21
21(21 +a) = 29² . . . . . multiply by 29·21
441 +21a = 841 . . . . simplify
21a = 400 . . . . . . . subtract 441
a = 400/21 . . . . . . . . . . . divide by 21. (eliminates choices C and D)
At this point, we can solve for b in similar fashion. However, it is sufficient to use "triangle sense" to eliminate the remaining bad choice. We know the hypotenuse of any right triangle is the longest side. Here, that means ...
b > 20 . . . . . (eliminates choice B)
The only viable answer choice is A:
a = 400/21, b = 580/21
__
Additional comments
For multiple-choice questions, you can arrive at a solution just as effectively by eliminating bad choices as you can by working the problem in detail to develop the correct choice. Here, we try to use "common sense" to simplify the work as much as possible. This saves time, which is what you want when you're working a timed assignment.
__
This geometry has several interesting features. If you start at the right angle and write side lengths in order clockwise, the two "inside triangles" have the order {longest side, hypotenuse, shortest side}. The overall outside triangle has the order {shortest side, hypotenuse, longest side}. That is, the order of the outside triangle vertices is counterclockwise for the same order of corresponding sides. Realizing/remembering this can immensely simplify the process of writing similarity statements for these triangles.
Another feature is one we demonstrated in the solution for 'a' in the second problem: the length of a segment touching the longest hypotenuse is the geometric mean of the lengths of the hypotenuse segments it touches. In the case in point: 29 = √((21)(21 +a)). We could also write the relationship: 20 = √((21)(a)), perhaps getting there more directly: a=400/21. And finally, b = √((a(a+21)). These geometric mean relationships all derive from the proportions you can write using triangle similarity.
(The geometric mean of two numbers is the square root of their product. For n numbers, it is the n-th root of their product.)
Part A: One of the factors of the polynomial function p(x)=2x^4+3x^3−x is (2x−1).
Write p as the product of (2x−1) and another polynomial.
Part B: What are the solutions to the equation p(x)=0? Enter the solutions from least to greatest.
Answer:
Step-by-step explanation: 2x+6
Another factor will be x and ( x + 1 )² and the solution will be -1, 0, and 1/2.
What is expansion?In mathematics, every real-world issue may be transformed into an equation, sometimes in the form of a factor, which must then be expanded to get a solution.
Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
Given,
p(x)=2x⁴ + 3x³ −x one factor is (2x−1)
To find another factor we divide p(x)=2x⁴ + 3x³ −x by (2x−1)
Then we got remainder as 0 and quotient ( x³ + 2x + 1 )
So,
(2x−1) ( x³ + 2x² + x ) = 0
(2x−1) (x) ( x² + 2x + 1) = 0
(2x−1) (x) (x + 1)² = 0
Now the solution to this
(2x−1) = 0 ⇒ x = 1/2
(2x−1) (x) ( x² + 2x + 1) = 0 ⇒ x = 0
And
(x + 1)² = 0 ⇒ x = -1
Hence, another factor will be x and ( x + 1 )² and the solution will be -1, 0, and 1/2.
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does anyone know the anser?
Answer:
just subtract 38 from 72 and but the answer as x x:38
Step-by-step explanation:
The mode,median,media in 5, 18, 42, 27, 8?
Answer:
Mean/Average: 20
Median/Middle: 18
mode: there is no mode.
I am 100% sure it is correct.
Step-by-step explanation:
Brainliest please! It would really make my day.
I need help with the second one plz help now 50 points
Answer:
If the temp is higher so is the amount of people on the beach
Step-by-step explanation:
What is 2xy+7y-19x²y=2x simplified?
Answer:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
[tex]x=\frac{y-1+\sqrt{134^2-2y+1} }{19y}[/tex]
[tex]x=\frac{y-1-\sqrt{134^2-2y+1} }{19y}[/tex]
Thanks!
Mark me brainliest!
There are 37 cans of pineapple on each shelf at food mart if there are 7 shelves of pineapple estimate the number of cans pineapple at food mart by rounding the number of cans on a shelf yo the nearest ten
Answer:
260
Step-by-step explanation:
7 shelves containing 37 cans of pineapples each would give you 259 cans of pineapple. Then, round to the nearest ten would give you 260.
solve pls brainliest
Answer:
6 1/4
Step-by-step explanation:
5^2/2^2
25/4
6 1/4
Have an amazing day!!
Please rate and mark brainliest!!
2x + st = 2q
Solve for X
Answer:
i dont understand explain
Step-by-step explanation:
Answer:
x = q- st/2
Step-by-step explanation:
Help please!!!,,,,,,
Answer: 2x+5y=100 and x+y=38
Step-by-step explanation:
What is the surface area of this right triangular prism?
Right triangular prism. The height of the prism is labeled 15 in. The base of the prism is a triangle with sides labeled 17 in., 17 in., ad 30 in. There is a dashed line from the vertex of the triangle perpendicular to the 30 in. side that is labeled 8 in.
50 POINTS!!!
Answer:
1800 in^3
Step-by-step explanation:
Min wants to make 100 name tags with ribbons attached to them. Each name tag requires five centimeters of ribbon. She has 3.25 meters of ribbon. Exactly how many more centimeters of ribbon does Min still need to make 100 name tags?
A: 175
B: 305
C: 325
D: 825
Do it Step By Step
Answer:
a; 175 centimeters
Step-by-step explanation:
One meter is 100 centimeters
this means that 3.25 meters is essentially just 325 centimeters
if she wants to make 100 name tags she must do 100 times 5 to get how many centimeters of ribbons she needs
100 * 5 = 500
she only has 325 centimeters so you subtract 325 from 500
500 - 325 = 175
h(x)=-1/3x^2+2x-4 graph the equation
You should be able to note that this is a parabola which opens downward. Taking the derivative and setting it to -0- will yield the max of the equation, That is
[tex]y=-\frac{1}{3} x^{2} +2x-4[/tex] ⇒ [tex]\frac{dy}{dx} =-\frac{2}{3} x+2=0[/tex] ⇒ [tex]x=3[/tex]
Jason needs $12,000 to pay for a training program. Jason decides to get loan from his bank at 2.2% interest for 5 years? How much interest will Jason pay for this loan?
Answer:
therefore he will pay $12,264
Answer:
$1,379.37
Step-by-step explanation:
to solve we do [tex]12000(1.022)^5[/tex] then subtract 12000.
Please rate and mark as brainlest. hope this helps!
If a, b, and c are rational numbers and ac>bc always true?
Answer:
Let's put it like this.
a = 1
b = 2
c = 3
Now, multiply b and a.
a x c = 3
Convert this expression to its factored version, ac.
Next, multiply b and c.
b x c = 6
Turn b and c into factored form, bc.
↓ conclusion ↓
Since 6 is greater than 3, this statement is not true. The only way it will always be true is if you reversed the number sequence to be greatest to least, instead of least to greatest.
0.018 + (3.1 × 10-3)
Simplified
Answer:
28.018
and that's the answer.
Step-by-step explanation:
0.018 + 31 - 3
31.018 - 3
which gives 28.018 as the final result
What’s 8/2(2+2). Please hurry I’ll mark you brainliest if you make me get it right
Answer:
Step-by-step explanation:
PEMDAS
2+2 is 4
8/2 is 4
4+4 is 8
if n^3=x and n^4=20x , where n>0, what is the value of x?
Step-by-step explanation:
∠2 and ∠7 are alternate exterior angles so they are equal.
So you can create the equation
40x-48 = 20x+52 Subtract 20x from both sides. Add 48 to both sides.
20x = 100
x = 5
if you need m∠2 Substtute 5 for x in 20x+52
20(5) + 52 = 100 +52 m∠2= 152°
m∠7 40(5) - 48 = 200-48 m∠7= 152°
The value of the variable x is given as 8000.
What are the rules of exponents?Some of the rules of exponents are as follows,
The product of two exponents having the same power is equal to the power of their base multiplied.
The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.
The given exponential expressions are as below,
n⁴ = 20x
And, n³ = x
Then as per the rule of exponent, the following it can be written as,
n³ = x
⇒ n × n³ = n × x
⇒ n⁴ = nx
⇒ 20x = nx
⇒ n = 20
Then, x = 20³ = 8000
Hence, the value of x is found to be 8000.
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HELLLPPPPP!!!!!!
What is the missing number in the synthetic division problem below?
Answer:
9
•
•••••
•••••••••••••••
Answer:
9 :) (ape.x)
Step-by-step explanation:
change forms: (16ab^2)^1/2 someone helppp pls
Step-by-step explanation:
this is only what i got from this question. it may be the only thing we need to do.. or not. but this step is correct for sure
An artist makes necklaces. She packs each necklace in a small jewelry box that is134inches by 214 inches by 34 inch. A department store ordered 270 necklaces. The artist plans to ship the necklaces to the department store using flat-rate shipping boxes from the post office. Which of the flat-rate boxes should she use to minimize her shipping cost?
Answer:
Small flat rate box
Step-by-step explanation:
Since she sells necklaces we can assume that the question is missing spaces and the actual dimensions are 1 3/4inch by 2 1/4 inch by 3/4 inch. This being the case she can use the Small flat rate box from the local post office for her necklaces. This is the smallest flat rate packaging available aside from envelopes, but since the artist needs a 3dimensional box the envelopes would not work. This small flat rate box has the following dimensions 8 11⁄16″ x 5 7⁄16″ x 1 3⁄4″ it also can hold up to 70lbs which far exceeds the weight of the necklaces.
35 + 35= I am adding two positive integers so my answer will be positive.
I am adding a negative and positive so my answer will be negative.
I am adding a negative and a positive so my answer will be positive.
I am adding two negative numbers so my answer will be negative.
Answer: I am adding two positive integers so my answer will be positive
If its 35 + 35 they both are positive hence I am adding two positive integers so my answer will be positive.
Hope I helped
Answer:
I am adding two positive integers so my answer will be positive.
Step-by-step explanation:
Note that;
Positive + Positive = Positive
Positive + Negative = Negative
Negative + Negative = Positive
~Lenvy
Help Please! 5/4-1/3-1/2 (fractions)
Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly. How much more will Viola’s monthly payment be if the loan is unsubsidized than if the loan is subsidized? Round all dollar values to the nearest cent. A. $35. 05 b. $45. 94 c. $96. 96 d. $63. 52.
The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.
Put this values in the above formula as,
[tex]A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times 4}\\A=11422.6348[/tex]
For the four years, the monthly payment is,
[tex]m=\dfrac{11422.6348}{4}\\m=237.97[/tex]
The monthly payment of unsubsidized loan is $237.97.
The monthly payment of subsidized loan is $202.80.
The difference between the unsubsidized and subsidized loan monthly payment is,
[tex]d=237.97-202.80\\d=35.17\\d\approx35.05[/tex]
Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.
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Please help me I need the explanation to the question step by step solving
Find the values of x and y.
Answer:
x = 15; y = 17
Step-by-step explanation:
A line equals 180 degrees
7x + 7 and 4y form the full line
As such:
7x + 7 + 4y = 180
Another line formation is between 4y and 112
A line equals 180 degrees
4y + 112 = 180
180 = 180 so:
7x + 7 + 4y = 4y + 112
Isolate the variable x
Subtract 4y from both sides
7x + 7 + 4y - 4y = 4y - 4y + 112
7x + 7 = 112
Subtract both sides by 7
7x + 7 - 7 = 112 - 7
7x = 105
Divide both sides by 7
7x ÷ 7 ÷ = 105 ÷ 7
1x = 15
x = 15
If x = 15, plug this new information into the expression with both x and y variables
7(15) + 7 + 4y = 180
Pemdas says multiply first
105 + 7 + 4y = 180
Combine like terms
112 + 4y = 180
Subtract both sides by 112
112 - 112 + 4y = 180 - 112
4y = 68
Divide both sides by 4
4y ÷ 4 = 68 ÷ 4
1y = 17
y = 17
Check work:
7(15) + 7 + 4(17) = 180
Pemdas says multiply first
105 + 7 + 68 = 180
Combine like terms
112 + 68 = 180
180 = 180
This means the variable values are correct
Harold measures the heights in inches of the new plants that are growing in his greenhouse. he records the lengths shown below and wants to plot them on a line plot. 19.5 21.5 18.0 19.5 19.25 19.5 21.0 18.25 20.5 18.75 19.0 19.0 19.25 22.0 use the drop-down menus to complete the following sentences about the line plot. the line plot has choose... dots plotted on it. the least value plotted on the line plot is choose... . the greatest value plotted on the line plot is choose... . the height of choose... inches occurs the most often.
The least value plotted on the line plot is 18.0, the greatest value plotted on the line plot is 22.0, and the height of inches that occurs the most often is 19.5 with 3 times.
What is a mode?In a set of data values, the mode is the value that appears the most frequently.
A.) The least value plotted on the plot is the minimum height of the plant Harold, therefore, the least value plotted on the line plot is 18.0.
B.) The greatest value plotted on the line plot is 22.0 is the maximum height of plant Harold, therefore, the greatest value plotted on the line plot is 22.0.
C.) The height of inches that occurs the most often is the mode of all the data points of the height of the plant that is given to us, therefore, the height of inches that occurs the most often is 19.5 with 3 times.
Hence, the least value plotted on the line plot is 18.0, the greatest value plotted on the line plot is 22.0, and the height of inches that occurs the most often is 19.5 with 3 times.
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Answer:
The line plot has 14 dots plotted on it.
The least value plotted on the line plot is 18.0
The greatest value plotted on the line plot is 22.0
The height of 19.5 inches occurs the most often
Step-by-step explanation:
hope this helps :)
im
POSSIBLE POINTS: 5.56
1. Lance applied to work for two different food-delivery companies. One company pays their drivers $500 per
week plus $0.60 per mile they drive. The second company pays $600 per week plus $0.50 per mile they drive.
Which equation can be used to find x, the number of miles Lance would have to drive each week in order to earn
the same amount of money at each company?
N
No
Answer:
C. 500x + 0.6 = 600x + 0.5
Step-by-step explanation:
If a car travels an average of 41 mph for 5.2 hours, how far will it travel? ( d=rt)
please help due soon
Multiply speed by time:
41 x 5.2 = 213.2 miles
The answer is the first choice.
Answer:
D = 41 (R) x 5.2 (T) = 213.2 miles
Step-by-step explanation:
The ratio of ₹ 2 to 120 paise is ___________
Answer:
5 : 3
Step-by-step explanation:
100 paise = 1 rupee
Therefore, the ratio =>
2 rupees : 120 paise
2 : 1.2
10 : 6
5 : 3
3. Complete the following table. You must show your work to receive full marks. If an angle
does not exist, you must explain why. (10.9 Approaching)
Angle
Complement
Supplement
Resulting Angle
Measure after the
Angle is Bisected
50
34
35
135
Step-by-step explanation:
what was the difficulty here ?
supplementary angles fill up to 180°.
complementary angles fill up to 90.
50° complement is 90-50 = 40°.
supplement is 180-50 = 130°.
bisected angle is 50/2 = 25°.
90-34=56° complement is 34°.
supplement is 180-56 = 124°.
bisected angle is 56/2 = 28°.
35×2=70° complement is 90-70 = 20°.
supplement is 180-70 = 110°.
bisected angle is 35°.
180-135=45° complement is 90-45 = 45°.
supplement is 135°.
bisected angle is 45/2 = 22.5° = 22°30'