Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths.
Select the four true statements regarding the side lengths Mrs. Ibarra chose.
15 + 36 greater-than 41, so the side lengths will form a triangle.
15 + 36 not-equals 41, so those lengths will not form a triangle.
15 squared + 36 squared = 1,521
41 squared = 1,681
Since a squared + b squared not-equals c squared, it will not be a right triangle.
15 squared + 36 squared = 297
41 squared = 82
Answers
Answer:
See below.
Step-by-step explanation:
Sides: 15, 36, 41
True: 15 + 36 greater-than 41, so the side lengths will form a triangle.
True: 15 squared + 36 squared = 1,521
True: 41 squared = 1,681
True: Since a squared + b squared not-equals c squared, it will not be a right triangle.
Answer:
A) 15 + 36 greater-than 41, so the side lengths will form a triangle.
C) 15 squared + 36 squared = 1,521
D) 41 squared = 1,681
E) Since a squared + b squared not-equals c squared, it will not be a right triangle.
Proof:
Related Questions
How do i solve f(x)=log3(x-2)-2
Answers
To have solution for f(x)=log3(x-2)-2. x must be x >2 or x ( 2, ∞) .
f(x)=log3(x-2)-2
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
Since,
f(x)=log3(x-2)-2
The above function will goes to infinity when we put x = 2.
So the given function has solution for x > 2.
Thus, the To have solution for f(x)=log3(x-2)-2. x must be x >2 or x ( 2, ∞) .
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Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(−7,−5)
B(−7,6)
C(−4,6)
D(−4,−5)
Given these coordinates, what is the length of side CD of this rectangle?
Answers
[tex]\huge\boxed{11\ \text{units}}[/tex]
To solve this, we need to find the distance between points C and D.
The distance formula is:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the values from points [tex]C(x_1, y_1)[/tex] and [tex]D(x_2, y_2)[/tex].
[tex]\sqrt{(-4-(-4))^2+(-5-6)^2}[/tex]
Subtract.
[tex]\sqrt{0^2+(-11)^2}[/tex]
Evaluate the powers.
[tex]\sqrt{0+121}[/tex]
Solve for the final answer.
[tex]\sqrt{121}\\\boxed{11}[/tex]
Which expression is a prime polynomial?
A. 3x2+18y
B. x3−27y6
C. 10x4−5x3+70x2+3x
D. x4+20x2−100
Answers
The expression that is a prime polynomial is:
B. [tex]x^3 - 27y^2[/tex].
What is a prime polynomial?A prime polynomial is a polynomial that cannot be factored.
In this problem, item b gives a prime polynomial, as:
In item a, 3 is a common factor, hence the polynomial can be factored.In item c, x is a common factor, hence the polynomial can be factored.In item d, the polynomial can be factored according to it's roots.More can be learned about prime polynomials at https://brainly.com/question/26388060
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Select the correct answer. two triangles, abc and cde, share a common vertex c on a grid. in triangle abc, side ab is labeled 4x minus 1, side bc is labeled 4, side ac is labeled 5. in triangle cde, side cd is labeled 5, side de is labeled x plus 2, side ce is labeled 4. if geometry symbol represented as small triangle with three sides. abc a geometry symbol represented as small triangle with three sides. dec, what is the value of x? a. x = 8 b. x = 5 c. x = 4 d. x = 1 e. x = 2
Answers
The value of x based on the information given in the triangle is D. x = 1.
How to compute the value?From the information given, it stated that the triangles are similar.
In this case, both triangles have side 4 and 5. Therefore, we are to find the last side. This will be:
4x - 1 = x + 2
Collect like terms
4x - x = 2 + 1
3x = 3
x = 3/3
x = 1
Therefore, the correct option is D.
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Answer:
x=1
Step-by-step explanation:
How many solutions does this linear system have?
y = 2/3+ 2
6X - 4y = -10
one solution: (-0.6, -1.6)
one
solution; (-0.6, 1.6)
no solution
infinite number of solutions
Answers
The solution to the system of equation is (-0.6, 1.6)
System of linear equations
Given the system of linear equations as shown:
y = 2/3x+ 2 .................. 1
6x - 4y = -10................ 2
Substitute equation 1 into 2 to have:
6x - 4(2/3x + 2) = -10
6x - 8/3 x - 8 = -10
10/3 x = -2
10x = -6
x =-0.6
Determine the value of y
y = 2/3x + 2
y = 2/3 (-0.6) + 2
y = -0.4 + 2
y = 1.6
Hence the solution to the system of equation is (-0.6, 1.6)
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use the quadratic formula to solve the equation : 10x2 +11x=1
Answers
Answer:The answers are 0.084 or -1.184
Step-by-step explanation:
The solution is in the attached file
The function (x) is a transformation of the square root parent function,
f(x)=√. What function is /(x)?
5
-5
f(x)
h(x)
O A. h(x)=√x-2
OB. h(x)=√√T-2
OC. h(r)=√x+2
O D. h(x)=√x+2
Answers
Hello,
check for x = 2, we can see h(x) = 0
h(x) = √(x - 2) ⇒ h(2) = √(2 - 2) = √0 = 0 ⇒ ok
h(x) = √x - 2 ⇒ h(2) = √2 - 2 ≠ 0 ⇒ not this answer
h(x) = √x + 2 ⇒ h(2) = √2 + 2 ≠ 0 ⇒ not this answer
h(x) = √(x + 2) ⇒ h(2) = √(2 + 2) = √4 ≠ 0 ⇒ not this answer
So the answer is h(x) = √(x - 2)
The instructions for building a kite tell you to begin by cutting a strip of wood to 45 cm in length, but your ruler only measures inches. How many inches should the piece of wood be? Round to the nearest quarter of an inch.
(Recall: 1 in. = 2.54 cm)
a.
b.
c.
d.
Answers
The length of the piece should be 17.716 inches.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
length = 45 m
one inch = 2.54 cm
So, length of strip would be
=45/2.54
=17.716
Hence, the length of the piece should be 17.716 inches.
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What are the factors of the trinomial?
(x + 1) and (x – 4)
(x + 4) and (x – 1)
(x + 5) and (x – 4)
(x + 4) and (x – 5)
Answers
Part B x^2 +3x -4
Party C x^2+x-20
Part D x^2-x-20
Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
Answers
A geometric sequence goes from one term to the next by always multiplying or dividing by the constant value except 0. The constant number multiplied (or divided) at each stage of a geometric sequence is called the common ratio (r).
A geometric series is the sum of an infinite number of terms of a geometric sequence.
A geometric series is convergers if |r| < 1.
A geometric series is diveres if |r| > 1.
Calculate the common ratio:
[tex]r=\dfrac{18}{27}=\dfrac{18:9}{27:9}=\dfrac{2}{3}\\\\r=\dfrac{12}{18}=\dfrac{12:6}{18:6}=\dfrac{2}{3}\\\\r=\dfrac{8}{12}=\dfrac{8:24}{12:4}=\dfrac{2}{3}[/tex]
[tex]\left|\dfrac{2}{3}\right| < 1[/tex]
The geometric series is converges.Therefore exist the sum.
Formula of a sum of a geometric series:
[tex]S=\dfrac{a_1}{1-r},\qquad|r| < 1[/tex]
Substitute:
[tex]a_1=27,\ r=\dfrac{2}{3}[/tex]
[tex]S=\dfrac{27}{1-\frac{2}{3}}=\dfrac{27}{\frac{1}{3}}=27\cdot\dfrac{3}{1}=81[/tex]
[tex]\huge\boxed{S=81}[/tex]
What is the rate of change of the linear function represented by the table? StartFraction one Over three EndFraction StartFraction one Over two EndFraction 2 3
Answers
The rate of change of the linear function represented by the table is 3
Rate of change of a functionThe rate of change of a function is also known as the slope of a function. The equation for calculating the slope is expressed as:
Slope = y2-y1/x2-x1
using the coordinates from the table (-2, -13) and (-1, -10)
Substitute
Slope = -10-(-13)/-1-(-2)
Slope = -10+13/-1+2
Slope =3
Hence the rate of change of the linear function represented by the table is 3
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can anyone slove this with the formulas
Answers
Answer:
Lemo shared pizza with four friends
=============
Let the pizza was shared between x people.
Set up equation and solve for x:
3 1/3 ÷ x = 2/310/3 ÷ x = 2/3x = 10/3 ÷ 2/3x = 10/3 × 3/2x = 10/2x = 5If we exclude Lemo, the number of friends is 4.
Thus = 3⅓/⅔=5/9
100% of x and also 200% of y
Answers
Hello !
Answer :
100% of x ⇒ 100/100 × x = 1 × x = x
200% of y ⇒ 200/100 × y = 2 × y = 2y
Which equation are true
A. 3^4)(3^5)=3^9
B.8^6=1\-6
C
Answers
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(5,5)
B(7,5)
C(7,-1)
D(5,−1)
Given these coordinates, what is the length of side of BC Rectangle?
Answers
Answer:
6 units
Step-by-step explanation:
5--1=6
Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
322. (m − 7)(m + 7)
Answers
Answer:
The product is the difference of squares is [tex]$$\left(m-7\right)\left(m+7\right)={{m}^2}-49$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (m-7)(m+7).We have to multiply the given expression.Square the first term m. Square the last term 7 .[tex]$$\begin{aligned}&(m-7)(m+7)=(m)^{2}-(7)^{2} \\&(m-7)(m+7)=m^{2}-49\end{aligned}$$[/tex]
Drag each expression or value to the correct box. Not all tiles will be used.
Luke started a weight-loss program. The first week, he lost x pounds. The second week, he lost pounds less than times the pounds he lost the first week. The third week, he lost 1 pound more than of the pounds he lost the first week.
Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than times the pounds Luke lost the first week. The second week, he lost 4 pounds less than times the pounds Luke lost the first week. The third week, he lost pound more than times the pounds Luke lost the first week.
Assuming they both lost the same number of pounds over the three weeks, complete the following sentences. Luke started a weight-loss program. The first week, he lost x pounds. The second week, he lost 3/2 pounds less than 3/2 times the pounds he lost the first week. The third week, he lost 1 pound more than 3/4 of the pounds he lost the first week.
Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than 3/2 times the pounds Luke lost the first week. The second week, he lost 4 pounds less than 5/2 times the pounds Luke lost the first week. The third week, he lost 1/2 pound more than 5/4 times the pounds Luke lost the first week.
Assuming they both lost the same number of pounds over the three weeks, complete the following sentences.
Answers
Answer:Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than 3/2 times the pounds Luke lost the first week. The second week, he lost 4 pounds less than 5/2 times the pounds Luke lost the first week. The third week, he lost 1/2 pound more than 5/4 times the pounds Luke lost the first week.Assuming they both lost the same number of pounds over the three weeks, complete the following sentences.Step-by-step explanation:
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 14 years with a variance of 25. If the claim is true, in a sample of 50 wall clocks, what is the probability that the mean clock life would differ from the population mean by greater than 1.5 years
Answers
The probability that the mean clock life would differ from the population mean by greater than 12.5 years is 98.30%.
Given mean of 14 years, variance of 25 and sample size is 50.
We have to calculate the probability that the mean clock life would differ from the population mean by greater than 1.5 years.
μ=14,
σ=[tex]\sqrt{25}[/tex]=5
n=50
s orσ =5/[tex]\sqrt{50}[/tex]=0.7071.
This is 1 subtracted by the p value of z when X=12.5.
So,
z=X-μ/σ
=12.5-14/0.7071
=-2.12
P value=0.0170
1-0.0170=0.9830
=98.30%
Hence the probability that the mean clock life would differ from the population mean by greater than 1.5 years is 98.30%.
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There is a mistake in question and correct question is as under:
What is the probability that the mean clock life would differ from the population mean by greater than 12.5 years?
Which represents the inverse of the function f(x) = 4x?
• h(x) = x + 4
O h(x) = x-4
O h(x) = =x
h(x) = Lx
Answers
Step-by-step explanation:
[tex]f(x) = 4x[/tex]
[tex] \: [/tex]
[tex]y = 4x[/tex]
[tex]4y = x[/tex]
[tex]y = \frac{x}{4} [/tex]
[tex] {f}^{ - 1} (x) = \frac{ x}{4} [/tex]
[tex]h(x) = \frac{x}{4} [/tex]
The answer is D.
Let f(x)=1/x+x, where is a nonzero number.what is the product of all the values of a, such that f(a)=f(2a)?
Answers
The product of all the values of a, such that f(a)=f(2a) is -1/2
Functions and expressionsGiven the function below;
f(x)=1/x + x
f(a) = 1/a + a
f(2a) = 1/2a + 2a
If f(a) = f(2a), hence;
1/a + a = 1/2a + 2a
Collect the like terms
1/a - 1/2a = 2a - a
2-1/2a = a
1/2a = a
Cross multiply
2a² = 1
a² = 1/2
a = ±√1/2
The values of a are √1/2 and -√1/2
Product = -√1/2 * √1/2
Product = -1/2
Hence the product of all the values of a, such that f(a)=f(2a) is -1/2
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Section 6.1 Add and Subtract Polynomials
Add and Subtract Monomials
In the following exercises, add or subtract the monomials.
594. 12q − (−6q)
Answers
Answer:
The simplified form of [tex]12 q-(-6 q) \text { is } 18 q[/tex].
Step-by-step explanation:
[tex]- Given: $12 q-(-6 q)$\\ - Simplify.\\ - The simplified form of $12 q-(-6 q)=(12+6) q$ i.e., $18 q$.[/tex]
Is the graph increasing, decreasing, or constant?
A. Constant
B. Increasing
C. Decreasing
Answers
Answer:
C. Decreasing
Step-by-step explanation:
The graph is decreasing because the graphed line read from left to right is slanting down.
Hope this helps!
If not, I am sorry.
Answer:
DecreasingStep-by-step explanation:
Hello
If a graph is constant, it doesn't have any change at all.
If a graph is increasing, it looks like this-:
[tex]\Huge\nearrow[/tex]
If a graph is decreasing, it looks like this-:
[tex]\searrow[/tex]
Since the given graph is most similar to [tex]\searrow[/tex], it's decreasing.
[tex]\pmb{\tt{done~!!}}[/tex]
[tex]\orange\hspace{300pt}\above2[/tex]
The owner of a farm plants apple trees and mango trees in a ratio of 16:6. How many oak trees are planted if 198 mango trees are planted?
Answers
Answer:528 apple trees
Step-by-step explanation:Listen 198/6=33 so then just multiply 33x16 that equals 528 hope this helps
Total area =
Help please thanks
Answers
The total area of the given right trapezoidal prism is gotten as; A = 2592 sq.units
How to find the area of a right trapezoidal prism?The formula to find the Surface Area of a Trapezoidal Prism is;
A = h(b + d) +l(a + b + c + d) unit square.
Where;
h = height
b and d are the lengths of the base
a + b + c + d is the perimeter
l is length
Thus;
A = 12(25 + 15) + 32(13 + 25 + 13 + 15)
A = 480 + 2112
A = 2592 units square
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What is 36 as the product of powers of 2 and 3
Answers
Answer:
your answer please mark me as brainlist
Solve each system by elimination.
10x-6y=-8
-10x+6y=8
Answers
Answer:
Infinitely Many Solutions
Step-by-step explanation:
[tex]10x-6y=-8\\-10x+6y=8\\\0 = 0\\[/tex]
the graph of F(x) shown below resembles the graph of G(x) =x^2 but it has been changes somewhat. Which of the following could be the equation of F(x)
Answers
Using translation concepts, the equation of the graph F(x) is given as follows:
F(x) = -x² - 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Researching this problem on the internet, the graph of G(x) = x² was reflected over the axis(multiplied by -1), and shifted down 3 units(F(x) -> G(-x) - 3), hence the equation for F(x) is:
F(x) = -x² - 3.
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Please help with this
Answers
Step-by-step explanation:
[tex] = \frac{14\pi}{6} [/tex]
[tex] = \frac{ \cancel{14}\pi}{ \cancel6} [/tex]
[tex] = \frac{7\pi}{3} [/tex]
[tex] = \frac{6\pi + \pi}{3} [/tex]
[tex] = \frac{6\pi}{3} + \frac{\pi}{3} [/tex]
[tex] = 2\pi + \frac{\pi}{3} [/tex]
[tex] = 0 + \frac{\pi}{3} [/tex]
[tex] = \frac{\pi}{3} \: \text{where} \: \frac{\pi}{3} < 2\pi[/tex]
The answer is B.
what is the value of 3ypower zero
Answers
Answer:
3
[tex]3 {y}^{0} [/tex]
[tex] = 3 \times 1[/tex]
[tex] = 3[/tex]
If any numbers or constant power is zero then it will be 1
Answer:
3
Step-by-step explanation:
So anything to the power of zero is equal to 1. So you have the equation: [tex]3y^0=3(1)=3[/tex]
If this doesn't make much sense, I sometimes like to use identities to show why this is. So since you're most likely learning exponents, you likely know the identity: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] well you can use this identity to express the equation: [tex]\frac{x^a}{x^a}=x^{a-a}=x^0[/tex]. and since x^a should equal x^a, and it's being divided by it self, this is equal to 1.
Btw if you didn't understand the identity: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] I'll try to briefly explain it. The reason this is true, is because you can cancel stuff out if it's being multiplied in the denominator and numerator. For example: [tex]\frac{3a}{3}[/tex]. I can cancel out the 3, because if I multiply 3 by a, and then divide by 3, I'm going to be left with a, because they're inverse to each other. This should hold true for exponents. So you can think of the identity more like: [tex]\frac{x*x*x...\text{a amount of times}}{x*x*x\text{b amount of times}}[/tex] seeing it like this might help understand why you subtract, since you're just cancelling out the x's.
I'll give you a more definitive example to help you grasp it in an example so: [tex]\frac{2^4}{2^2}=\frac{2*2*2*2}{2*2}=\frac{2*2}{1}=2^2[/tex]. See how I canceled out 2 of the 2's, well all I was really doing was subtracting 2 from the degree of the numerator, or in other words I was subtracting the degree of the denominator from the numerator since the bases were the same which is exactly what the identity is doing.
Factor completely, −5x^2 + 10x − 25
Answers
[tex]\bf{-5x^{2} +10x-25 }[/tex]
[tex]\bf{Rewrite \ 10 \ as:5\cdot2.}[/tex]
[tex]\bf{Rewrite \ 25 \ as:5\cdot5.}[/tex]
[tex]\bf{=-5x^2+5\cdot \:2x-5\cdot \:5}[/tex]
[tex]\bf{Factor \ the \ common \ term \ 5.}[/tex]
[tex]\bf{=5(-x^{2} +2x-5) \ \ \to \ \ \ Answer }[/tex]
{ Pisces04 }