Answer:
fg(x)=f(g(x)
=f(x-5)
But ;f(x)=x+2
f(x-5)=(x-5)+2
=x-5+2
fg =x-3
gf(x)=g(f(x))
=g(x+2)
But ;
g(x)=x-5
g(x+2)=(x+2)-5
=x+2-5
=x-3
g(g)=g(x-5)
g(x-5)=(x-5)-5
=x-5-5
=x-1
Triangle A and Triangle B are right triangles.
Triangle A has a height of 8 meters and a base of 6 meters.
Triangle B has a height that is one unit greater than triangle A and a base that is one unit less.
What is the measure of the hypotenuse of triangle A? Show your work.
Determine if the hypotenuse of triangle B has the same hypotenuse as triangle A. Justify your solution.
I. The measure of the hypotenuse of triangle A is equal to 10 meters.
II. The measure of the hypotenuse of triangle B is equal to 10.30 meters.
Given the following data:
Height A = 8 metersBase A = 6 metersTo determine the measure of the hypotenuse of triangle A, we would apply Pythagorean's theorem since the is a right triangle:
Mathematically, Pythagorean's theorem is given by the formula:
[tex]C^2 = A^2 + B^2\\\\C^2 = 6^2 + 8^2\\\\C^2=36+64\\\\C^2 = 64+36\\\\C^2=100\\\\C=\sqrt{100}[/tex]
Hypotenuse, C = 10 meters.
For Triangle B:
Triangle B has a height that is one (1) unit greater than triangle A:
Height B = 8 + 1 = 9 meters
Triangle B has a base that is one (1) unit less than triangle A:
Base B = 6 - 1 = 5 meters
To find the hypotenuse B:
[tex]C^2 = A^2 + B^2\\\\C^2 = 5^2 + 9^2\\\\C^2=25+81\\\\C^2=106\\\\C=\sqrt{106}[/tex]
Hypotenuse, C = 10.30 meters
From the above calculations , we can deduce that the measure of the hypotenuse of both Triangle A and Triangle B are different.
https://brainly.com/question/14930619
please help i need it ill mark brainlest
where is the questions?
Step-by-step explanation:
I can help you but, there's no questions?
Round 128,902 to the nearest thousand
Answer:
128, 902 to the nearest thousand is 129,000
Step-by-step explanation:
Just a cheerful teen willing to help,
wishing you a splendiferous day,
stay salty...
The answer is 129,000
.✍️(◔◡◔) hope this helps<3
(-2x4+6x2-15+3x3)+(-x2+x+2)
A function is represented by the values in the table.
Choose from the drop-down menu to complete the statement.
The function represented in the table Choose____linear.
Is or is not
PLEASE HELP ILL MARK BRAINLIEST!!!!!! Quick!!!!
Answer:
Is linear ;)
Step-by-step explanation:
The Answer Is {Linear}
If you divide all the numbers on the y-intercept it will equal to the numbers on the x-intercept.
Not only that, I Took The Test.
6.08 Quiz: Identify Linear Models
What is 21 1/4% expressed as a fraction? 13/200 17/80 21/80 17/40
A city map is placed on a coordinate grid. The post office is located
at the point A(3, 8), the library is located at the point B(15,9), and
the fire station is located at the point C(21, 9.5) What is the ratio of
the length of AC to the length of BC?
The length of a segment is the number of units on the segment.
The ratio of line segment AC to line segment BC is 3 : 1
The coordinate points are given as:
[tex]\mathbf{A = (3,8)}[/tex]
[tex]\mathbf{B = (15,9)}[/tex]
[tex]\mathbf{C = (21,9.5)}[/tex]
The length of each segment will be calculated using the following distance formula
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{AC = \sqrt{(3 - 21)^2 + (8 - 9.5)^2}}[/tex]
[tex]\mathbf{AC = \sqrt{326.25}}[/tex]
Also, we have:
[tex]\mathbf{BC = \sqrt{(15 - 21)^2 + (9 - 9.5)^2}}[/tex]
[tex]\mathbf{BC = \sqrt{36.25}}[/tex]
The ratio of AC to BC is represented as:
[tex]\mathbf{AC : BC = \sqrt{326.25}:\sqrt{36.25}}[/tex]
Divide through by [tex]\sqrt{36.25[/tex]
[tex]\mathbf{AC : BC = \sqrt{9} : \sqrt{1}}[/tex]
Evaluate square roots
[tex]\mathbf{AC : BC = 3 : 1}[/tex]
Hence, the ratio is 3 to 1
Read more about line segments at:
https://brainly.com/question/12294171
Solve the quadratic equation
Answer:
Our problem is [tex]x^2-2x+6=0[/tex], but as we can see, we are unable to factor. We have to use the quadratic equation to solve.
[tex]x^2-2x+6=0[/tex]
[tex]\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
Positive Quadratic Formula:
[tex]\frac{-(-2)+\sqrt{(-2)^2-4(1)(6)}}{2(1)}[/tex]
[tex]=\frac{2+\sqrt{4-24}}{2}\\=1+\frac{\sqrt{-20}}{2}[/tex]
Negative Quadratic Formula:
[tex]\frac{-(-2)-\sqrt{(-2)^2-4(1)(6)}}{2(1)}[/tex]
[tex]=\frac{2-\sqrt{4-24}}{2}\\=1-\frac{\sqrt{-20}}{2}[/tex]
Since both of our answers are the square root of a negative number, we know that the quadratic equation has no real solution.
*We could have also used the Discriminant Test to determine whether the quadratic equation has real roots or not. However, for our means, the quadratic equation seems enough.
Answer:
D. No real Solution
Step-by-step explanation:
Hello!
Let's use the quadratic formula: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
In our equation:
a = 1b = -2c = 6This comes from the standard form of a quadratic: [tex]ax^2 + bx + c[/tex]
Now, solve:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(1)(6)}}{2(1)}[/tex][tex]x = \frac{2 \pm \sqrt{4 -24}}{2}[/tex][tex]x = \frac{2 \pm\sqrt{-20}}{2}[/tex][tex]x = \frac{2 \pm 2\sqrt{-5}}{2}[/tex][tex]x = 1 \pm \sqrt{-5[/tex]Since the radicand (-5) is negative, there are no real solutions. The correct answer is Option D.
what is the answer too
5=6(q-5)-19
Answer:
Distribute the 6 to the terms inside the parentheses.
5=6q-30-19
Combine like terms.
5=6q-49
Add 49 to both sides.
54=6q
Divide both sides by 6.
q=9
:)
(x)=−3x+4, find f(-6)f(−6).
Answer:
f(-6)=22
Step-by-step explanation:
f(x)=-3x+4
F(-6)=-3(-6)+4
f(-6)=18+4
f(-6)=22
Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. What is the resulting expression?
(4x2 + 3)(x2 – 5)
(4x2 – 3)(x2 – 5)
(4x2 – 5)(x2 + 3)
(4x2 + 5)(x2 – 3)
Answer:
(4x2-3)(x2-5)
Step-by-step explanation:
(4x4-20x2)-(3x2+15)
4x2(x2-5)-3(x2-5)
(4x2-3)(x2-5)
The factorized expression of the polynomial is (4x^2- 3)(x^2 -5)
What are polynomials?Polynomials are expressions that have more than one term
The expression is given as:
[tex]4x^4 - 20x^2 - 3x^2 + 15[/tex]
Factorize the expression
[tex]4x^2(x^2 - 5)- 3(x^2 -5)[/tex]
Factor out x^2 - 5
[tex](4x^2- 3)(x^2 -5)[/tex]
Hence, the expressions when multiplied that give the polynomial are (4x^2- 3) and (x^2 -5)
Read more about factorization at:
https://brainly.com/question/11579257
The two lines represent the distance, over time, the two airplanes were traveling. Which plane is traveling faster? Explain how you know.
Answer:
plane b is going faster. X axis is always time, leaving Y axis to be distance. B goes up the Y axis more with less X axis. B is faster.
How do we call the number 4 in 345.28
Answer:
The number 4 is in the tens place
Step-by-step explanation:
Use place value to find the answer (ones, tens, hundreds, thousands, etc.)
Pllls help I need it really
Answer:
45655677777765457887543
Giving 20 brainly points
Answer:
y=8x+1
y=7x+2
y=9x+3
Step-by-step explanation:
PLEASE HELPPPP‼️‼️‼️ILL MARK Brainlyist PLEASE!!!
Point K is a centroid of the triangle JGI. If KL = 28 cm, what is JL?
A. 42cm
B. 14 cm
C. 84cm
D. 18.7cm
Answer:
84cm
Step-by-step explanation:
I had it on my test
(2x^2-4xy+2y)(3x-4)
help solve! please show steps.
9514 1404 393
Answer:
S
Step-by-step explanation:
The distributive property is used for this purpose. I find it easier to distribute the shorter factor.
[tex](2x^2-4xy+2y^2)(3x-4)\\\\=(3x)(2x^2-4xy+2y^2)-(4)(2x^2-4xy+2y^2)\\\\=6x^3-12x^2y+6xy^2-8x^2+16xy-8y^2\quad\text{matches choice S)}[/tex]
In a pass of 30 students 13 are boys
Answer:
Ratio of boys to all students:
13:30
Ratio of girls to all students:
17:30
Ratio of boys to girls:
13:17
Step-by-step explanation:
I think you're asking for the ratio... so I hope this helps! :D
What chance is there of rolling a total of 9
with two dice?
Answer: 9 4/36 (11.111%)
Step-by-step explanation:
Help please and thank you
Answer:
B) 60
Step-by-step explanation:
180-46= 134
134-74= 60
a person ordering a certain model of car can choose any of 9 colors, either manual or automatic transmission, and any of 9 audio systems. How many ways are there to order this model of car?
does anybody now 166 times 4
Answer:
664. Im pretty sure
Step-by-step explanation:
Midpoints
B is the midpoint of AC , find x.
B is the midpoint which means both sides are equal to each other:
5x = 3x + 4
Subtract 3x from both sides
2x = 4
Divide both sides by 2
X = 2
[tex]\red{➤}\:[/tex][tex]\sf AB = 5x [/tex]
[tex]\red{➤}\:[/tex][tex]\sf BC = 3x+4[/tex]
[tex]\\[/tex]
To Find:-[tex]\orange{☛}\:[/tex][tex]\sf Value \:of \:x[/tex]
[tex]\\[/tex]
Solution:-Since B is midpoint of AC, therefore -
[tex]\\\quad\quad\quad\quad\sf AB = BC [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad \sf 5x = 3x+4\quad\quad ( Putting \:Value) \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 5x-3x =4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 2x =4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf x =\frac{4}{2}\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {x=2 }}\\\end{gathered} [/tex]
Someone please solve this for me
Answer:
Step-by-step explanation:
There are some property you need to know
one external angle of a triangle equals to the sum non-adjacent angles of the triangle.The sum of all interior angles is 180(deg)According to the graph we have [tex]125^\circ=(x+2y)^\circ+90^\circ\\(x+2y)^\circ = 35^\circ[/tex]
And
[tex]125^\circ + (2x+y)^\circ = 180^\circ\\(2x+y)^\circ = 55^\circ[/tex]
So
[tex]\angle P = 35^\circ\\\angle PQC = 55^\circ[/tex]
please help me with all i really need it quickly
Step-by-step explanation:
20.84
12.46
7.99
22.55
those are the answer
Answer:
1. $27.79-(25%×$27.79)=$27.79-$6.9475
=$20.8425
=$20.84 (to 2dp)
2. $12.85-(3%×$12.85)=$12.85-$0.3855
=$12.4645
=$12.46 (to 2dp)
3. $10.65-(25%×$10.65)=$10.65-$2.6625
=$7.9875
=$7.99 (to 2dp)
4. $34.69-(35%×$34.69)=$34.69-$12.1415
=$22.5485
=$22.55 (to 2dp)
What is the scale factor n of the dilation?
Answer:
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs
Step-by-step explanation:
this is the correct answer happy
i need help with question 13
Answer:
(1,9)
Step-by-step explanation:
a rotation of 180 causes the plotted point to be opposite of itself
Please help it’s due tonight
Step-by-step explanation:
The shapes are flipped 180 degrees therefore they are equal.
Can I have brainly if I helped you
Karen buys 3 new shirts that cost $12.25 each. She pays $3.03 in sales tax. How much money does Karen pay in all?
Answer: 111.35
Step-by-step explanation: I’I’m pretty sure I did this right. If I Didn’t, I am so sorry. But, I times $12.25 by three times. WoWoulwhat you got me to $35.75 and then I times that by three and a got me $111.35
I hope I did this right :)
Helpppppppppppppppppppppp-ASAP I’ll give you 20 points
Answer:
x≥5
Step-by-step explanation:
Let's solve your inequality step-by-step.
5≤−5+2x
Step 1: Simplify both sides of the inequality.
5≤2x−5
Step 2: Flip the equation.
2x−5≥5
Step 3: Add 5 to both sides.
2x−5+5≥5+5
2x≥10
Step 4: Divide both sides by 2.
2x/2 ≥ 10/2
x≥5
Answer:
x≥5
