standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{\cfrac{2}{5}}(x-\stackrel{x_1}{(-3)})\implies y-6=\cfrac{2}{5}(x+3)[/tex]
[tex]y-6=\cfrac{2}{5}x+\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y-6)~~ = ~~5\left( \cfrac{2}{5}x+\cfrac{6}{5} \right)}\implies 5y-30~~ = ~~2x+6 \\\\\\ -2x+5y-30=6\implies -2x+5y=36\implies 2x-5y=-36[/tex]
Ryder found the volume of the figure below by using the steps shown. A rectangular prism with a length of 40 millimeters, width of 30 millimeters, and height of 5 millimeters. A rectangular pyramid with a base of 30 millimeters by 40 millimeters and a height of 95 millimeters. Total Volume = B h + one-half B h Equals 5 (40) (3) + one-half (40) (30) (95) Equals 6,000 + 57,000 Equals 63,000 cubic millimeters What mistake, if any, did Ryder make? Ryder determined the volume correctly. Ryder used the wrong formula for the total volume. Ryder used the wrong height for the pyramid. Ryder did not apply the order of operations correctly.
Answer:
B. Rider used the wrong formula for the total volume.
Step-by-step explanation:
I did the quiz
Answer: B
Step-by-step explanation: I did the quiz, sis, trust me.
If anybody could give me the answers
Answer:
62 Inches
Step-by-step explanation:
It can be seen from the figure.
[tex]{ab}^{2} = {ac}^{2} + {bc}^{2} [/tex]
Pythagoras
AB= 13
So the perimeter is
[tex](13 + 18) \times 2 = 62[/tex]
I can’t solve this problem
Answer:
f(-2) = -8f(-1) = -5f(0) = 0f(1) = 7Step-by-step explanation:
f(w) = [tex]w^{2}[/tex] + 6w
w = -2f(w) = f(-2) = [tex](-2)^{2}[/tex] + 6*(-2) = 4 - 12 = -8
w = -1f(w) = f(-1) = [tex](-1)^{2}[/tex] + 6*(-1) = 1 - 6 = -5
w = 0f(w) = f(0) = [tex]0^{2}[/tex] + 6*0 = 0 + 0 = 0
w = 1f(w) = f(1) = [tex]1^{2}[/tex] + 6*1 = 1 + 6 = 7
Write the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3. (Use the letter x to represent the variable.)
The quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3 will be 3x² - 15x + 18 = 0.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
Then the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3.
Then the factor or the quadratic equation will be
(x - 2) and (x - 3)
Then the equation will be
3(x - 2)(x - 3) = 0
3(x² -2x -3x + 6) = 0
3(x² - 5x + 6) = 0
3x² - 15x + 18 = 0
More about the quadratic equation link is given below.
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Which expression is equivalent to
x^2-1
X^2-x
Answer:
(x - 1) x - X^2
Hope this helps :)
How much would you
have to
deposit today to have an
accumulated amount of
$20,000 in 20 years
if yearly
interest is 4.75% compounded
continuously?
1. Roll a standard die. Amanda wins if the result is prime or 1. Beto wins
if the result is composite
Answer:
What is the question?
Step-by-step explanation:
prime: 1, 2, 3, 5
composite: 4, 6
Beto has 2/6 = 1/3 chance of winning
Amanda has 4/6 = 2/3 chance of winning
Find the distance between points (3,6) and (9,2)
Answer:
A=(3,6)
B =(9,2)
The distance between AB=√(9-3)^2+(2-6)^2
=3√13
The ratio of cats to dogs at pet shelter is 4 to 3. if there are 36 dogs, how many cats are there?
A. 27
B. 36
C. 48
D. 52
What is the asymptotes of the graph.
Answer:
Choice B: x = 2, y = 1.
Step-by-step explanation:
i need help with 7th grade math please 45 points need help ASAP + brainleist
Answer:
25.13 ft
Step-by-step explanation:
Okay, simple. So first and foremost, set up the equation for the circumference of a circle
Circumference: [tex]2\pi (r)[/tex]
The diameter of the circle is 8 which means the radius is 4
So plug it in
[tex]2\pi (4)[/tex]
That will give us 25.13 ft
I really hope this helps!
Part 1:
Based on your knowledge of fair decision making and probability concepts, should the Power Pill be produced and distributed? Explain your reasoning.
Part 2:
What effect (if any) did telling two groups about expected outcomes have on results? Use statistics to provide proof for your reasoning and explain.
Part 3:
Are there any flaws in the testing process? Should any of the steps or protocol be changed/avoided during round two of testing? Explain your reasoning.
The knowledge of fair decision making and probability concepts illustrates that the Power Pill should be produced and distributed.
What is probability?It should be noted that probability simply means the likelihood of the occurence of a particular event.
In this case, the knowledge of fair decision making and probability concepts illustrates that the Power Pill should be produced and distributed.
It's important to adequately carry out a research on the pill and ensure that it's safe.
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Find the value of x. Round to the nearest 10th.
The area is 34 in²
Answer:
12
Step-by-step eplanation:
Factor the polynomial 3x – 75
Answer:
3(x -25)
Step-by-step explanation:
common factor is 3,
75 / 3 = 25
3x / 3 = x
Answer:
3(x-25)
Step-by-step explanation:
The common factor is three
divide both terms by three
3x/3 = x
-75/3 = -25
put them back together with the three outside of the parentheses
3(x-25)
Below is a right cone with a radius of 3 cm and a slant height of 7.6 cm. Find both the volume and surface area of the cone. Round
everything to the nearest hundredth. Use 3.14 for .
Note: The slant height is different than the actual height of the cone.
Answer:
Surface Area: 99.852
Volume: 71.592
Find the measure of B
Answer:
<B = 52°
Step-by-step explanation:
The triangle is 180° Angle A and B add up to 118°
4y° + (3y + 7)° = 112°
7y + 7 = 112°
7y = 105
y = 15
Since you solve for y, plug your y into the angles to solve.
<B = 3y + 7
<B = 3 * 15 + 7
<B = 45 + 7
<B = 52°
Which equation can we use to find the length of the side labeled x?
Answer:
(D) sIn(30°) = 5/x
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between sides and trig functions for a right triangle. Here, the hypotenuse and the side opposite the angle are marked. The relevant relationship is ...
Sin = Opposite/Hypotenuse
Filling in figure values, we have ...
sIn(30°) = 5/x
Which of the following is the most significant greenhouse gas due to its long lifespan in the environment?
A. Carbon dioxide
B. Argon dioxide
C. Oxygen
D. Nitrogen Oxide
Answer:
Carbon dioxide
Step-by-step explanation:
I think it’s carbon dioxide because, it is the most significant greenhouse gas. I also think it’s the carbon dioxide because the question is asking which one it is and I chose carbon dioxide.
Please help me with this math word problem! Please...
Let the price of an adult ticket is x and a child ticket is y .
from the question ,
[tex]6x + 2y = 124 \: \: ...(i) \\ \\ 3x + 5y = 100 \: \: ...(ii)[/tex]
Multiply 2 in eq (ii)
[tex]6x + 10y = 200 \: \: ...(iii)[/tex]
On adding eq (iii) and (i)
[tex]6x + 10y = 200 \\ \\ 6x + 2y = 124[/tex]
we get ,
[tex]8y = 76 \\ \\ y = \frac{76}{8} \\ \\ y = 9.5[/tex]
putting y in eq (i)
[tex]6x + 2y = 124 \\ \\ 6x + 2 \times 9.5 = 124 \\ \\ 6x + 19 = 124 \\ \\ 6x = 124 - 19 \\ \\ 6x = 105 \\ \\ x = \frac{105}{6} \\ \\ x = 17.5[/tex]
The value of x = 17.5 and y = 9.5
Hence , The price of an adult ticket is 17.5 and the price of a child ticket is 9.5 .Function g can be thought of as a translated (shifted) version of f(x) = x2.
Write the equation for g(2).
g(x)=
If the function f(x) is translated at a point (2, 6). Then the function g(x) will be given as g(x) = (x - 2)² + 6.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Function g can be thought of as a translated (shifted) version of f(x) = x².
Then the equation of the function g(x) will be
g(x) = (x - 2)² + 6
Learn more about transforming functions here:
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Please help me with this
scale drawing of a tree is 4% of the size of the actual tree. The height of the tree in
me drawing is 6 inches. What is the height of the actual tree, in feet?
how your work.
Questions in the attached file.
The area of the triangle based on the information given will be 4 units square
How to calculate the triangle?It should be noted that the area of a triangle is calculated by using the formula:
= 1/2 × base × height
Therefore, the area of the triangle will be:
= 1/2 × base × height
= 1/2 × 2 × 4
= 4 units²
In conclusion, the area of the triangle given will be 4 units square.
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What is the measure of angle 1?
Answer:
90 degree angle
Step-by-step explanation:
pls help me with this 10 ponits
Answer:
I believe it is B
Step-by-step explanation:
URGANT!!!!
An amount of $17,000 is borrowed for 10 years at 4.75% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$27,039
Step-by-step explanation:
Calculating the amount of interest :
A = P (1 + r/n)^(nt)A = interestP = principalr = rate of interest (in decimal)n = number of times compoundedt = time (in years)Given values :
P = $17,000r = 4.75% = 0.0475n = 1t = 10Solving :
A = (17,000)(1 + 0.0475/1)¹⁰A = (17,000)(1.0475)¹⁰A = (17,000)(1.59052433)A = $27,039 (nearest dollar)Find a formula for the nth term
of the arithmetic sequence.
First term 9
Common difference -2
[tex]n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=9\\ d=-2 \end{cases} \\\\\\ a_n=9+(n-1)(-2)\implies a_n=9-2n+2\implies a_n=11-2n[/tex]
Find the greatest common factor (GCF) for the pair of 12 and 15
Answer:
3
Step-by-step explanation:
in the image Attached
......
Answer:
3
Step-by-step explanation:
Prime factorize both numbers :
12 = 2² x 315 = 5 x 3The GCF is the highest common term that both terms share.
Hence,
GCF (12, 15) = 3"solve for the following trig ratios using the unit circle":
1. tan(1755 degrees)
i have no idea how to do this. like do i use estimation orrrr.???
=========================================================
Explanation:
The goal is to get that 1755 degree angle between 0 and 360, so we can refer to the unit circle later.
Subtract off 360 from this until we get to that target
1755 - 360 = 13951395 - 360 = 10351035 - 360 = 675675 - 360 = 315Or a shortcut could be
1755 - 4*360 = 315The angles of 1755 degrees and 315 degrees are coterminal. They point in the same exact direction which is directly southeast in quadrant IV.
Now use the unit circle (see below) to find that
sin(315) = -sqrt(2)/2cos(315) = sqrt(2)/2Dividing those two items and simplifying gets us
tan(315) = sin(315)/cos(315) = -1
Then we go from tan(315) = -1 to tan(1755) = -1
round 18.159 to the nearest tenth
Answer:
18.2
Step-by-step explanation:
A tenth is the first decimal, on the right of your unit. 5 to the sky (round up) 4 to the floor (round down)
18.159
To find:The nearest tenth of 18.159
Solution:First value right to the decimal place is tenths place. If the value given in hundredths place is 5 or more round up, if not keep it as it is.
So here the value in hundredths place is 5, so we'll have to add 1 to the tenths place.
18.159
= 18.2 ( nearest tenth )