Answers
x = 7
y = 4
==========================================
Explanation:
Focus on the hypotenuse of each triangle. If the triangles are congruent, then surely the corresponding hypotenuses are congruent as well
This means,
BC = ED
6y-8 = 2y+8
6y-2y = 8+8
4y = 16
y = 16/4
y = 4
If y = 4, then
AC = 5x-5y = 5x-5*4 = 5x-20
and
EF = 2y+7 = 2*4+7 = 8+7 = 15
Similar to how the hypotenuses are congruent, the two bottom legs are corresponding and congruent as well.
AC = EF
5x-20 = 15
5x = 15+20
5x = 35
x = 35/5
x = 7
label it h/a = h/a
h = hypotenuse
a = adjacent leg
6y-8/5x-5y = 2y+8/2y+7
6y-8 * 2y+7 = 2y+8 * 5x-5y
12y^2 + 26y - 56 = 10xy + 40x - 10y^2 - 40y
22y^2 + 66y - 10xy - 40x -56 = 0
solve for the values of x and y
x = 7
y = 4
Related Questions
What is the similarity ratio of the smaller to the larger prisms? Enter your answer as a:b
Answers
Because the lengths are 6 and 9 (2:3), the widths are 8 and 12 (2:3), and the heights are 6 and 4 (2:3).
Answer:
6:9>2:3
Step-by-step explanation:
In order to do this, you just have to equalize the ratio you just need to search for the same sides, so the 6 side is similar with the 9 side on the larger, and then the 8 to the 12 and the 4 to the 6, so you just equalize any of those equal we will use the 8 and 12:
8:12
Now we just reduce it with the same:
4:6
2:3
So the ratio would be 2:3.
Use part 1 of the fundamental theorem of calculus to find the derivative of the function. y = cos x (3 + v5)8 dv sin x
Answers
[tex]y(x)=\displaystyle\int_{\cos x}^{\sin x}(3+v^5)^8\,\mathrm dv[/tex]
(If the limits are in the wrong order, just multiply the result by -1)
Split the integral at an arbitrary value between [tex]\cos x[/tex] and [tex]\sin x[/tex], and write [tex]y(x)[/tex] as
[tex]y(x)=\displaystyle\left\{\int_{\cos x}^c+\int_c^{\sin x}\right\}(3+v^5)^8\,\mathrm dv[/tex]
[tex]y(x)=\displaystyle\int_c^{\sin x}(3+v^5)^8\,\mathrm dv-\int_c^{\cos x}(3+v^5)^8\,\mathrm dv[/tex]
Then by the FTC,
[tex]\dfrac{\mathrm dy}{\mathrm dx}=(3+\sin^5x)^8\cdot\dfrac{\mathrm d\sin x}{\mathrm dx}-(3+\cos^5x)^8\cdot\dfrac{\mathrm d\cos x}{\mathrm dx}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\cos x(3+\sin^5x)^8+\sin x(3+\cos^5x)^8[/tex]
The first part of the Fundamental Theorem of Calculus provides a method to find the derivative of a function. However, clarity is needed in the question as it has extra elements. If we consider the derivative of y = cos x (3 + √5)8 sin x, it would be f'(x) = -sin x (3 + √5)8 sin x + cos x (3 + √5)8 cos x.
Explanation:Since the question asks for the derivative of the function y = cos x (3 + √5)8 dv sin x, we'll need to use the First Part of the Fundamental Theorem of Calculus. This theorem states that if a function f is continuous over the interval [a, b] and F is an antiderivative of f on [a, b], then the definite integral from a to b of f(x) dx equals F(b) - F(a). In this case, we have y = cos x (3 + √5)8 dv sin x which sadly is not clear due the presence of apparently extra and possibly typographical elements.
Assuming, the question intends to find derivative of y = cos x (3 + √5)8 sin x, we can proceed as follows:
Let f(x) = cos x (3 + √5)8 sin x. Then by applying the chain rule, we get: f'(x) = -sin x (3 + √5)8 sin x + cos x (3 + √5)8 cos x.
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QM Q2.) Find the multiplicities of the greatest zero, second greatest zero, and the smallest zero.
Answers
First check out the zeros (first box).
Step One.
Put brackets around terms 1 and 2 and another set around terms 3 and 4.
f(x) = (x^3 + 8x^2) - (4x + 32) Watch out that you change the sign on the 32. Minus signs can be devastating. The idea is that when the brackets are removed, the question will be exactly as it was before you put the brackets there.
Step Two
Pull out any common factors.
f(x) = x^2(x + 8) - 4(x + 8)
Step Three.
If there is a common binomial pull it out as well. This is the hardest part of the problem. The binomials have to be exactly alike (in this case they are).
f(x) = (x + 8) (x^2 - 4)
Step Four
Factor (x^2 - 4). This is an exact difference of squares. It factors into
x^2 - 4 = (x + 2)(x - 2)
Step five
Find the zeros.
f(x) = (x + 8)(x - 2)(x + 2)
x + 8 = 0
x = - 8
x + 2 = 0
x = - 2
x - 2 = 0
x = 2
I know you didn't ask for all of this, but when someone asks a question, it's always a good idea to check the work done. In your case it was all correct. That's a very good thing.
Definition
Multiplicity is the number of times a root appears in the solution of a polynomial.
For example, g(x) = (x - 5)^2 (x - 4)
The five would have a multiplicity of 2 because the equation is really
g(x) = (x - 5)(x - 5) ( x - 4). There are 2 roots that are the same (both are 5).
4 has a multiplicity of 1 in this example.
Answer
The largest root is 2. It has a multiplicity of 1
The second largest root is -2. It has a multiplicity of 1
The tiniest root is - 8 . It has a multiplicity of 1
Find the area of a regular hexagon whose side measure is 5 cm.
Answers
Area of the Hexagon
[tex] = ( \frac{3 \sqrt{3} \times 5 {}^{2} }{2} ) \: sq \: cm[/tex]
[tex] = \frac{75}{2} \sqrt{3 \:} sq \: cm[/tex]
please show me how to answer this
Answers
in a survey of a town 56% of residents own a car, 21% of residesnts own a truck
Answers
Over 4 hours, the temperature in Miami, Florida, rose 8ºF. How many degrees, on average, did the temperature rise per hour
Answers
Answer:
The correct answer is 2°F
Step-by-step explanation:
Your equation is 8÷4
8÷4=2
I hope this helps :)
Evaluate the expression. 32 + 6 × 22 – 42 ÷ 2
Answers
Do 6 x 22:
= 32 + 132 – 42 ÷ 2
Do: 42 ÷ 2:
= 32 + 132 – 21
Do: 32 + 132:
= 164 – 21
Do 164 -21:
= 143
Answer: 143
Here is your answer:
The proper answer to this question is "143".
Reason:
Use PEMDAS:
Write the problem then solve:
32 + 6 × 22 – 42 ÷ 2=
↓
6×22=132
↓
32+132-42÷2=
↓
42÷2=21
↓
32+132-21
↓
32+132=164
↓
164-21
↓
164-21=143
↓
=143
Therefore your answer is 143!
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Which events are independent? Check all that apply. rolling two number cubes at the same time choosing a card, and then flipping a coin choosing a first, second, and third place winner drawing a name from a hat, keeping it, then drawing another name drawing a marble from a bag, replacing it, then drawing another marble flipping the same coin three times
Answers
Answer:
1.rolling two number cubes at the same time
2.choosing a card, and then flipping a coin
5.drawing a marble from a bag, replacing it, then drawing another marble
6.flipping the same coin three times
help how woudl i do this ive attached a picture
Answers
m angle b° = arc/2
m angle b° = 60°/2
m angle b°=30°
b=30
Answer: Fourth option: 30
Write down and simplify the following algebraic expressions. The sum of −3x+5 and 7−4x is subtracted from 5x+17.
Answers
-3x+5+7-4x = -7x+12
That subtracted from 5x+17:
5x+17-(-7x+12) = 12x+5
What is the growth factor of the following example? Assume time is measured in the units given. A forest shrinks 80% per century.
Answers
The growth factor is 0.20 per century.
Pythagorean theorem to determine if a triangle with sides 2 ft,5ft,4ft is a right triangle
Answers
[tex] 2^2 + 4^2 = 5^2 [/tex]
[tex] 4 + 16 = 25 [/tex]
[tex] 20 = 25 [/tex]
Since 20 = 25 is clearly a false statement, the three side lengths 2 ft, 4 ft, and 5 ft do not form a right triangle.
When multiplied, what is the simplified form of (5 − 2i)(1 − 2i)? Write the answer in standard form, a + bi, where a and b are real numbers.
Answers
F: 5*1 = 5
O: 5 *(-2i) = - 10i
I : -2i * (1) = - 2i
L: (-2i)(-2i) This may take a bit. There's a few signs hanging around.
L: (-2 * -2)*(i * i)
L: 4 (i *i)
L: 4(-1)
L: - 4 So combine these results.
FOIL: 5 - 10i - 2i - 4 Group the like terms
FOIL: 5 - 4 - 10i - 2i Now collect them
FOIL: 1 - 12i <<<<<<< Answer
22x+70=17x-95 show step by step please
Answers
[tex]22x + 70 = 17x - 95[/tex]
Move variables to the left by adding their opposites to both sides. Eliminate the opposites.
[tex]22x - 17x + 70 = - 95[/tex]
Move constants to the right by adding their opposites to both sides. Eliminate the opposites.
[tex]22x - 17x = - 95 - 70[/tex]
Collect the like terms by subtracting their coefficients and numbers.
[tex]5x = - 95 - 70[/tex]
Calculate the sum or difference. Extract the negative sign from the expression. Add the numbers.
[tex]5x = - 165[/tex]
Divide both sides of the equation by 5 and calculate the quotient.
[tex]x = - 33[/tex]
Answer:
Value of x is -33.
Step-by-step explanation:
[tex] \sf22x+70=17x-95 [/tex]
We combine x term together. In this equation there are two extra 22x and 17x and 17x is right hand side and we have to shift it left hand side so we have to change sign. 17x is a positive number so we have to shift in left hand side so it convert into negative number means - 17x.
[tex]\sf22x - 17x=-95 - 70[/tex]
Now, we combine next terms together and in right hand side we shift -70. Because in left hand side 70 is a positive number then we have to shift it right hand side so it change into negative.
[tex] \sf5x = - 165[/tex]
We write 5x because we subtract 22 with 17 and in right inside we write minus 165 because we add - 95 and -70. we can't subtract minus 95 and -70 because in front of the both of number there is a sign of minus.
Remember :-
- and - = + + and - = -- and + = -[tex]\sf x = \dfrac{ - 165}{5} [/tex]
We divide -165 by 5. Because in Left hand side 5x is in multiple so we shift it Right hand side and it turns into divide.
[tex] \sf \:x = - 33[/tex]
Now, we get value of x is -33.
Verification :-
Put values of x -33
22x+70
22×(-33) +70
= -726 + 70
= -656
Now, in R.H.S
17x-95
17×(-33) -95
= - 561 - 95
= - 656
L.H.S = R.H.S
Hence, proved
Note :-
L.H.S = Left hand side
R.H.S = Right hand side
Refer to the above data. in which year is there a balanced budget? year 1 year 2 year 3 year 4
Answers
Solve for the variable 10/8=n/10
Answers
Answer: 50/4 or 12.5
Step-by-step explanation:
We can cross-multiply in this situation.
Cross-multiplying...
[tex]\frac{10}{8} = \frac{n}{10}[/tex]
8n = 10(10) = 100
In other words, we multiply the denominator of 10/8, which is 8, by the numerator of n/10, which is n, and vice-versa.
Dividing 8 on both sides....
n = 100/8 = 50/4 = 12.5
Which of the following shows the length of the third side, in inches, of the triangle below?
Hypotenuse is 74 and one leg is 24
Answers
c² = a² + b²
Filling in your numbers, we can solve for b.
74² = 24² + b²
74² - 24² = b² = 4900
b = √4900 = 70
The length of the third side is 70.
Answer:
70 inches
Step-by-step explanation:
Exercise 3.8 asked you to write a method called quadratic that solves quadratic equations and prints their roots. recall that a quadratic equation is a polynomial equation in terms of a variable x of the form a x2 + b x + c = 0. the formula for solving a quadratic equation is:
Answers
x=[-b+/-√(b²-4ac)]/2a
where a,b and c are the respective coefficients as indicated in the quadratic form.
Bernard weighs 7.5 pounds at birth. assuming his development proceeds normally, he should weigh about _____ pounds by his first birthday. 22.5 24.5 20.5 18.5
Answers
Given Bernard weighs 7.5 pounds at birth.The question is asking us to assume that Bernard development proceeds normally.We need to find Bernard birth after a year.
It is observed that birth of a child triples or is thrice (3 times ) the weight at birth.As Bernard is weighing 7.5 pounds so he will triple or be 3times of this weight.
Bernard weight after a year= 3x7.5=22.5 pounds.
Instructions:Select the correct answer from the drop-down menu. In the figure, sin ∠MQP = cos N and sin R sin R and sin N cos N and sin M cos R and sin N .
Answers
sin ∠MQP = sin(56) = 0.829cos ∠N = cos(56) = 0.559sin ∠R = sin(34) = 0.559sin ∠N = sin(56) = 0.829cos ∠N = cos(56) = 0.559sin ∠M = sin(90) = 1cos ∠R = cos(34) = 0.828
Based on these findings, it is obvious that sin ∠MQP is equal to cos ∠R and sin ∠N.Thus, the correct choice is "cos R and sin N".
Answer:
Cos R and sin N
Step-by-step explanation:
s=4h+4w solve for h.
Answers
s - 4w = 4h
Now you are going to divide both sides by 4 to isolate the variable h. This gives you your answer:
[tex]h = \frac{(s-4w)}{4} [/tex]
Cost per mile is calculated by dividing total cost by total miles. Using the notation P = cost per mile, C = total cost, and M = total miles, show this relationship in algebraic equation form.
Answers
Substituting the variables defined in the problem statement, this is ...
P = C/M
Answer:
(cost per mile) = (total cost)/(total miles)
Substituting the variables defined in the problem statement, this is ...
P = C/M
Step-by-step explanation:
I do have a time limit. I appreciate any help
If YB = ZA find the value of X and the length of YB
Answers
Also, we can see that YZ and AB are perpendicular to both ZA and YB, thus
YZ = AB
16x - 4 = 4 - 4x
16x + 4x = 4 + 4
20x = 8
x= 8/20 = 2/5
YB = ZA = 20x - 5 = 20(2/5) - 5 = 3
Thus, the value of x is 2/5 and length of YB is 3 units.
So, the correct answer is option A
If it takes 2 nurses 2 minutes to measure the blood pressure of 2 patients, how long would it take 200 nurses to measure the blood pressure of 200 patients (in minutes)?
Answers
Final answer:
One nurse takes 2 minutes to measure the blood pressure of one patient. With 200 nurses, each assigned to one patient, it will take all nurses 2 minutes to measure the blood pressure of 200 patients.
Explanation:
The question is asking for the time it would take a group of nurses to measure the blood pressure of an equal number of patients given a scenario. It works on the principle that if the number of nurses is directly proportional to the number of patients, the time it takes for one nurse to measure one patient's blood pressure will be the same, regardless of how many nurses or patients there are, as long as the ratio remains 1:1.
If it takes 2 nurses 2 minutes to measure the blood pressure of 2 patients, that means one nurse takes 2 minutes to measure the blood pressure of one patient. Therefore, if you have 200 nurses each measuring the blood pressure of one patient, it would still take 2 minutes for all 200 patients to have their blood pressure measured since each nurse is working with one patient individualy.
how much tax you need to pay on a taxable income of 40,000
Answers
2017 RETURNS FILED IN 2018:
Single earning in this tax bracket $37,951 to $91,900, the tax rate is 25%.
Married/Joint earning in this tax bracket $18,651 to $75,900, the tax rate is 15%.
2018 RETURNS FILED IN 2018:
Single earning in this tax bracket $38,701 to $82,500, the tax rate is 22%.
Married/Joint earning in this tax bracket $19,051 to $77,400, the tax rate is 12%.
Hope this helps! :)
Which describes a cost that fluctuates depending on the number of units produced A) Liability B) Revenue C) fixed cost D) Variable cost
Answers
Answer: D: Variable cost
Explanation: There are two aspects of cost in the process of production. One is fixed and the other is variable
The variable component is called as variable cost which fluctuates based on the number of units produced. The examples of variable costs include commissions, direct labor costs, manufacturing costs etc which depend on the number of units produced and sold
A cost that fluctuates depending on the number of units produced is called a variable cost.
Option D is the correct answer.
What is a variable cost?A variable cost is a cost that changes proportionally to the level of activity or production volume.
We have,
The cost per unit varies depending on how many units are produced.
As more units are produced, the variable cost increases, and as fewer units are produced, the variable cost decreases.
This is in contrast to a fixed cost, which remains constant regardless of the level of production.
Examples of variable costs include direct labor, raw materials, and production supplies.
Thus,
A cost that fluctuates depending on the number of units produced is called a variable cost.
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Q #15 Graph ARTS With vertices R(6, 6), S(3, -6),and T(0, 3) and its image. over the Y -axis
Answers
(x,y) ⇒⇒⇒ (-x,y)
Note point T will not change
the solution is as shown in attached figure
twice the difference of p and 10
Answers
2( p-10)
2p-20
Compute the simple interest earned on a deposit of $5000 at 8.5% for 120 days
Answers
[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$5000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\to &0.085\\ t=years\to \frac{120}{365}\to &\frac{24}{73} \end{cases} \\\\\\ I=(5000)(0.085)\left( \frac{24}{73} \right)\implies I \approx 139.72602739726[/tex]