Answer:
No, it is isosceles.
Step-by-step explanation:
(In assumption that the points have been plotted on a graph)
After the points have been plotted we need to find the distance between each set of points. DE, DF, and, EF.
Finding DE and DF
To find DE and DF, we need to do some counting. From point D to point E, we travel 2 units right, and 8 units up forming an imaginary triangle with a right angle. From D to F, we again travel 8 units right and 2 units up, forming the same triangle, just oriented slightly differently.
Using the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) we can plug in some values to find C and two of our side lengths.
[tex]a^2+b^2=c^2[/tex]
[tex]2^2+8^2=c^2[/tex]
[tex]4 + 64 = c^2[/tex]
[tex]68=c^2[/tex]
[tex]\sqrt{68} =c[/tex]
[tex]8.25=c[/tex]
The lengths of DE and DF are both roughly 8.25
Finding EF
Finding EF is going to be the same process but just a little different.
If we start at E and travel to F, we move down 6 units and right 6 units, forming another right triangle. now we use the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) again, to find C and the length of EF.
[tex]a^2 + b^2 =c^2[/tex]
[tex]6^2+6^2=c^2[/tex]
[tex]36+36=c^2[/tex]
[tex]72=c^2[/tex]
[tex]\sqrt{72} =c[/tex]
[tex]8.49=c[/tex]
The length of EF is roughly 8.49 units.
Since not all of the sides of the triangle are the length, triangle DEF is not equilateral. Instead triangle DEF is isosceles.
Answer:
No it is isosoles
Step-by-step explanation:
In a right triangle P Q R,∠Q=90 a)If P Q = 8 cm, QR = 15 cm, find PR .b)If PR = 10 cm, P Q = 8 cm, find QR.
Step-by-step explanation:
because we know that both of these parts have to do with right triangles, we know that we can use the Pythagorean theorem.
since q is the right angle, you know that any line segment with q is a leg of the triangle
A.)
a^2 + b^2 = c^2 (add in values)
8^2 + 15^2 = c^2 (a=pq and b=qr) SIMPLIFY
64 + 225 = 289 (add)
find the square root of 289 = 17 so pr = 17
B.
This time we are using one leg (pq) and the hypotenuse (pr) to find the other leg
a^2 + b^2 = c^2 (sub the numbers in)
a^2 + 8^2 = 10^2 (simplify)
a^2 + 64 = 100 (subtract 64 on both sides)
a^2 = 36
the square root of 36 is 6 so qr = 6
Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x. x4 -3x + 1, 4x2 - 2x + 8, and x3 - 9
Answer:
x⁴ + x³ + 4x² - 5x
Step-by-step explanation:
The polynomials given in the question are:
x⁴ - 3x + 1
4x² - 2x + 8
x³ - 9
We have to add all them
First write all the polynomial in the summation form:
(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)
Open the brackets:
x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9
Group together the similar terms
(x⁴) + (x³) + (4x²) + (-3x -2x) + (1 + 8 - 9)
Finding the sum in brackets:
x⁴ + x³ + 4x² + (-5x) + (0)
x⁴ + x³ + 4x² - 5x
Note that the sum is in descending powers of x
Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100. Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5. Who performed better on the standardized exams and why? Reagan scored higher than Jessie. Reagan's score was 1140, which is greater than Jessie's score of 30. Reagan scored higher than Jessie. Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Jessie's standardized score of 2.6 standard deviations above the mean. Reagan scored higher than Jessie. Reagan's score was 140 points above the mean of 1000, and Jessie's was 13 points above the mean of 17. Jessie scored higher than Reagan. Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean. Jessie scored higher than Reagan. Jessie is only 6 points from the top score of 36 on the ACT, and Reagan is 460 points from the top score of 1600 on the SAT.
Answer:
Jessie scored higher than Reagan.
Step-by-step explanation:
We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.
Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5.
For finding who performed better on the standardized exams, we have to calculate the z-scores for both people.
1. Finding z-score for Reagan;
Let X = distribution of SAT scores
SO, X ~ Normal([tex]\mu=1000, \sigma^{2}=100^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 1000
[tex]\sigma[/tex] = standard deviation = 100
Now, Reagan scored 1140 on the SAT, that is;
z-score = [tex]\frac{1140-1000}{100}[/tex] = 1.4
2. Finding z-score for Jessie;
Let X = distribution of ACT scores
SO, X ~ Normal([tex]\mu=17, \sigma^{2}=5^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 17
[tex]\sigma[/tex] = standard deviation = 5
Now, Jessie scored 30 on the ACT, that is;
z-score = [tex]\frac{30-17}{5}[/tex] = 2.6
This means that Jessie scored higher than Reagan because Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean.
URGENT PLEASE HELP IM BEGGING YOU
In this activity, you will find and interpret the average rate of change of a polynomial function.
Part A
The polynomial function y = -0.00584 +0.05x3 -0.086x2 - 0.04x + 2.52 represents the fluctuating gas price in dollars per
gallon) in a city over the course of 6 years. Calculate the average rate of change from year 0 to year 2, and then calculate
the average rate of change from year 3 to year 6.
Answer:
The average rate of change from year 0 to year 2 is
[tex]change = -0.0585[/tex]
The average rate of change from year 3 to year 6 is
[tex]change = -0.0129[/tex]
Step-by-step explanation:
The average rate of change describes the average rate at which gas price in dollars per gallon is changing with respect to time (years)
The given polynomial function is
[tex]y = -0.0058x^4 +0.05x^3 -0.086x^2 - 0.04x + 2.52[/tex]
Calculate the average rate of change from year 0 to year 2.
For year x = 0
[tex]y = -0.0058(0)^4 +0.05(0)^3 -0.086(0)^2 - 0.04(0) + 2.52 \\\\y = 2.52[/tex]
For year x = 2
[tex]y = -0.0058(2)^4 +0.05(2)^3 -0.086(2)^2 - 0.04(2) + 2.52 \\\\y = -0.0928 + 0.4 - 0.344 - 0.08 + 2.52 \\\\y = 2.403[/tex]
The average rate of change from year 0 to year 2 is
[tex]change = \frac{y(2) - y(0)}{x(2) - x(0)} \\\\change = \frac{ 2.403- 2.52}{2 - 0} \\\\change = \frac{-0.117}{2} \\\\change = -0.0585[/tex]
The negative sign indicates that the gas price has decreased from year 0 to year 2.
The average rate of change from year 3 to year 6 is
For year x = 3
[tex]y = -0.0058(3)^4 +0.05(3)^3 -0.086(3)^2 - 0.04(3) + 2.52 \\\\y = -0.4698 + 1.35 - 0.774 - 0.12 + 2.52 \\\\y = 2.506[/tex]
For year x = 6
[tex]y = -0.0058(6)^4 +0.05(6)^3 -0.086(6)^2 - 0.04(6) + 2.52 \\\\y = -7.5168 + 10.8 - 3.096 - 0.24 + 2.52 \\\\ y = 2.4672[/tex]
The average rate of change from year 3 to year 6 is
[tex]change = \frac{y(6) - y(3)}{x(6) - x(3)} \\\\change = \frac{ 2.4672- 2.506}{6 - 3} \\\\change = \frac{-0.0388}{3} \\\\change = -0.0129[/tex]
The negative sign indicates that the gas price has decreased from year 0 to year 2.
PLeaSe HeLP!!! aSaP!!! WiLL MaRK BRaNLieST!!! Find all possible values of the digits Y, E, A, R if YYYY - EEE + AA - R = 1234, and different letters represent different digits.
Answer:
Y = 2
E = 9
A = 1
R = 0
Step-by-step explanation:
2222 - 999 + 11 - 0 =1234
I’m timed plz answer!!! Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0. x y squared StartRoot 8 x cubed EndRoot 2 x cubed y cubed StartRoot x y squared EndRoot 2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot 4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answer:
C
Step-by-step explanation:
bc i said so i think
Answer:
C
Step-by-step explanation:
C
What is the solution set of -lx| = -8?
O {8}
O {-8}
O {-8, 8}
O no solution
Answer:
O {-8, 8}
Step-by-step explanation:
[tex]-|x| = -8\\\\\frac{-|x|=-8}{-1}\\\\|x|=8\\\\\text{Apply rule: If } |u|=a, a > 0, \text {then } u=a \text { or } u=-a\\\\\boxed {x = -8, x = 8}[/tex]
Which of the following pairs of functions are inverses of each other? A)f(x)=2x-9 and g(x)=(x+9)/(2) B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2) C)f(x)=(x)/(3)+4 and g(x)=3x-4 D)(x)=5+\root(3)(x) and g(x)=5-x^(3)
Answer:
A)f(x)=2x-9 and g(x)=(x+9)/(2)
Step-by-step explanation:
f(g(x)) =x for inverses
A)f(x)=2x-9 and g(x)=(x+9)/(2)
2(x+9)/2) -9 = Canceling the 2 x+9 -9 = x inverse
B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2)
2/(x+6)/2 ) -6 =4/(x+6) - 6 This will not give me x
C)f(x)=(x)/(3)+4 and g(x)=3x-4
(3x+4)/3 -4 = x + 4/3 -4 This will not give me x
D)(x)=5+\root(3)(x) and g(x)=5-x^(3)
5 + cuberoot ( 5-x^3) This will not give me x back
Answer:
2x-9 is the inverse of x+9/2
Step-by-step explanation:
WILL MARK AS BRAINLIEST!! PLEASE HURRY!!! Solve for x: 1 over 4 (2x − 14) = 4. (1 point) 15 15 over 2 9 11
Answer:
Step-by-step explanation:
k den
Answer:
1 / 4 (2x − 14) = 4.
Multiply through by 4(2x - 14)
You'll get
1 = 16(2x - 14)
1 = 32x - 224
Group like terms
224 + 1 = 32x
225 = 32x
Divide both sides by 32
x = 225/ 32
Hope this helps
Which Statement is NOT true?
Answer:
D
Step-by-step explanation:
i beleive the answer is D
random words so brainly doesnt delete my answer again for no reason d ;lkm dfkslfjks fjdsfdnfjnv fheryqoiwr bnmxm,nxvbkfldj uyeuqiowerhtuirqgyt jbnnkfamcx vnkscjvhsdf
Danny tosses a ball into the air. Its height, as a function of time, is
modeled by y = -16x2 +9x +4. Which statement best describes the
function? (SIDE NOTE: This is not a test, for the last time this isn't a test to me brainly)
1. The function is linear.
2. The function is linear at some points and nonlinear at other points.
3. The function is nonlinear
4. Not enough information is given to decide.
Answer:
Nonlinear- it is a quadratic, which is a parabola, not a linear graph.
Step-by-step explanation:
Answer:
It's Nonlinear
Which elements in the same below are integers? -3,3.7,9,-7.34,2.83,5,56/7,-1
Answer:
Integers -3, 9, 5, 56/7, -1
Step-by-step explanation:
Integers are whole numbers that can be positive or negative. They do not have decimals.
SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
Answer It is the first option because it has reflectional symmetry vertically and horizontally, therefore creating 4 lines of symmetry. If that's wrong, then it's "c."
Step-by-step explanation:
because it has reflectional symmetry vertically and horizontally, therefore creating 4 lines of symmetry. If that's wrong, then it's "c."
A social scientist surveyed a random sample of male musicians at a university about their practice habits. The graph below displays the amount of time typically spent practicing their instrument daily.
Which of the following inferences can be made from the data?
Answer:
C
Step-by-step explanation:
male musicians practice an avg 2/hrs a day
The inferences can be made from the data on average, male musicians practice for two hours per day. Then the correct option is C.
What is a histogram?A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
A social scientist surveyed a random sample of male musicians at a university about their practice habits.
The graph below displays the amount of time typically spent practicing their instrument daily.
From the graph, we can conclude that on average, male musicians practice for two hours per day.
Then the correct option is C.
More about the histogram link is given below.
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What is the measure of Zx?
Angles are not necessarily drawn to scale.
P
R
36
29
S
2=
Answer:
x=54 degrees
Step-by-step explanation:
These two angles are complementary, meaning that they add to 90 degrees.
If one angle is 36 degrees, then we can write this equation: 36+x=90
We want to find what x is, so we should isolate x.
We can isolate x by subtracting 36 on both sides.
x=90-36
x=54
Answer:
54°
Step-by-step explanation:
∠PQR +∠RQS =∠PQS
36° + x° = 90°
x = 90 - 36 = 54°
whats the answer???
Answer:
a is the answer
have a great day. brainliest please
Step-by-step explanation:
Answer:
the answer is A. :)
Step-by-step explanation:
the answer A. is 10 so just think what 2 times what will equal 10 so....2 x 5 = 10 and we got 10 so that is how we get our answer
Brainliest please thank you! and good luck!
Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft
Answer: 40.9
Step-by-step explanation:
how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?
Answer:
See below.
Step-by-step explanation:
It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.
Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.
Proved!
John wants to invest in a simple intereset savings account The intereset rate on this account is 0.7%. The account balance y can be modeled by the following linear equation y=150,000+150,000(0.007)x where x represents the time (in years) that john leaves her money in the account what is johns initial investment?
Answer:
John's initial investment is Rs.150000
Step-by-step explanation:
Let the principal amount be a
We are given that John wants to invest in a simple interest savings account .The interest rate on this account is 0.7%.
Now to find simple interest in x years
Formula : [tex]Si = P \times T \times R[/tex]
Where P = Principal
T= time
R = rate of interest in decimals
So,[tex]SI=a \times 0.007 \times x[/tex]
Amount = Principal+Interest
Amount = [tex]a+a(0.007)x[/tex]
We are given that The account balance y can be modeled by the following linear equation y=150,000+150,000(0.007)x
So, On comparing a = 150000
Hence John's initial investment is Rs.150000
What is the answer for 7x-4=73
Answer:
11
Step-by-step explanation:
7x-4=73
7x = 4+73
7x = 77
7x/7 = 77/7
x = 11
if the sum of four times a number and four less than three times a number is seventeen
Answer:
13divided by 7
Step-by-step explanation:
[tex]4x + 3x - 4 = 17 \\ 7x - 4 = 17 \\ 7x = 17 - 4 \\ 7x = 13 \\ \frac{7x}{7} = \frac{13}{7 } \\ x = \frac{13}{7} or1 \times \frac{6}{7} [/tex]
The required number is 3 .
It is required to find the number.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
Let the number be x
According to given question we have,
4x+3x-4=17
Compare the like terms we get,
7x=17+4
7x=21
x=3
The number is 3 .
Therefore, the required number is 3 .
Learn more details about algebra here:
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hi, can someone pls help me? I really don’t understand this
Answer: 1 is not, 2 is, 3 is, 4 is, 5 is, 6 is not
Step-by-step explanation:
1 is not because 2 has two arrows coming off of it and each input can only have one output. 6 is not because if you draw a line down the graph it will hit the figure more than once( this is called the pencil drop test)
Function is an assignation that for each element of first set assigns one and only one element from second set.
1) NO {element 2 from set one has assigned two elements (b, c) from set two}
2) YES
3) YES {several elements from set one can have assigned the same element from set two}
4), 5) YES
6) NO {for x from about -4 to about 0.5 there are two y}
On a coordinate plane, triangle R S T has points (negative 3, 2), (3, 2), and (negative 1, 1). An altitude is drawn from point T to point U at (negative 1, 2).
What is the area of triangle RST?
6 square units
9 square units
12 square units
18 square units
Answer:
The answer is
Step-by-step explanation:
B. 9 square units
The area of the triangle RST is 3 square units if the triangle RST has points (-3, 2), (3, 2), and (-1, 1). An altitude is drawn from point T to point U at (-1, 2).
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
Triangle RST has points (-3, 2), (3, 2), and (-1, 1).
We are assuming the coordinate for point R is (-3, 2)
S(3, 2)
T(-1, 1)
An altitude is drawn from point T to point U at (-1, 2).
From the distance formula, we can find the distance between R and S and distance between TU.
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
h = 1 units
b = 6 units
Area of triangle RST = (1/2)(6×1) = 3 square units
Thus, the area of the triangle RST is 3 square units if the triangle RST has points (-3, 2), (3, 2), and (-1, 1). An altitude is drawn from point T to point U at (-1, 2).
Learn more about the triangle here:
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Which of the following numbers is the largest?
A) 13 hundredths
B) 0.026
C) 8 thousand
D) 0.1
Answer:
Hi your answer should be 8 thousand
Step-by-step explanation:
Answer:
c ( 8000)
Step-by-step explanation:
A comes out 0.13
B is 0.026
c is 8000
D is 0.1
Absolutely c is the right answer.
Please mark me brainliest. I need to rank up.
Which transformations could be performed to show that
AABC is similar to AA"B"C"?
Answer:
add a picture
Step-by-step explanation:
Simplify. ( w^2/-3u^4)^2. Write your answer without parentheses.
Answer:
w^4 / (9u^8)
Step-by-step explanation:
( w^2/-3u^4)^2
We know that ( a/b) ^c = a^c / b^c
( w^2) ^2/ (-3u^4)^2
We know that a^b^c = a^(b*c)
w^(2*2)/ (-3u^4)^2
We know ( ab) ^c = a^c * b^c
w^4/ (( -3)^2 u^4^2)
w^4/(9 u^(4*2))
w^4 / (9u^8)
which of the following equations describe the line shown below? check all that apply. Please Help!
Answer:
A & F
Step-by-step explanation:
if you look at the other question I answered for you, you can see the work. but basically you can figure out slope by doing m=y2-y1/x2-x1.
so we now know the slope is 1/4. which eliminates choices B, D, E.
we see that C will not work because the x and y values are switched.
according to point slope formula A & F work.
Factor the quadratic expression: x^2 + 25
con
Simplify: -165 - 1703
Answer:
[tex]-1868[/tex]
Step-by-step explanation:
[tex]-165 - 1703[/tex]
Subtract the numbers.
[tex]=-1868[/tex]
Answer:
-1868 is the simplified polynomial
Step-by-step explanation:
-165 -1703
= -165 + -1703
= -(165+1703)
= -(1868)
solve the equation a-5/a=4
Answer:
B:5
Step-by-step explanation:
5 - 5/5= 5
5/5 = 1
5-1= 4
Answer:
D
Step-by-step explanation:
[tex]\frac{a^{2}}{a}-\frac{5}{a} = 4[/tex]
[tex]\frac{a^{2}-5}{a} = 4[/tex]
[tex]a^{2} -5 = 4a[/tex]
a= -1
1 - 5 = 4.-1
a = 5
25 - 5 = 4.5
Hope this helps ^-^