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The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
Related Questions
A pair of jeans is on sale for $56 at 35% off. What is the original price of the jeans? Show your work to receive full credit
Answers
find the value of given expression
[tex] \sqrt{9 \times 81 \times 9} [/tex]
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Answer:
√{9×81×9}=√(9²×9²)=±(9×9)=±81
Answer:
your answer will be 81
Step-by-step explanation:
.......
WILL GIVE BRAINLIEST!
Given that ℓ1 ∥ ℓ2 and y = 36°, find x.
x =
Answers
Answer:
x = 48
Step-by-step explanation:
From the given diagram, the sum of the angles given is equal to 180 degrees as shown;
x+y+2x = 80
Since y = 36
x +36+2x = 180
3x = 180 - 36
3x = 144
x = 144/3
x = 48
Hence the value of x is 48
The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.
The axis of symmetry is the line x = 6.
The vertex of the graph is at (–6, –11).
The parabola has a minimum.
The parabola opens down.
The value of h, when the equation is written in vertex form, is positive.
Answers
Answer:
A D and E
Step-by-step explanation:
The statements true about the graph of the function are
a) The axis of symmetry is the line x = 6
b) The parabola opens down
c) The vertex of the graph is at (-6, -11)
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) = -3x² + 36x - 119
And , the vertex form of the function is
f ( x ) = -3 ( x - 6 )² - 11
Now , The axis of symmetry is the line x = 6. This is true because in vertex form, the equation of the axis of symmetry is given by x = h, where (h, k) is the vertex of the parabola. In this case, the vertex is (6, -11), so the axis of symmetry is x = 6.
The parabola has a minimum. This is also true because the coefficient of the x² term in the given equation is negative (-3), which means the parabola opens downward and has a minimum at the vertex.
Hence , the graph of the polynomial is solved
To learn more about equation of graph of polynomials click :
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Who can help me out with this question???
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Answer:
x = 13
Step-by-step explanation:
[tex]a^{2} +b^2 = c^2\\12^2 + 5^2 = c^2\\144 + 25 = c^2\\169 = c^2\\[/tex]
Take the square root of both sides
[tex]\sqrt{169} = \sqrt{c^2} \\13 = c[/tex]
what is 49cm^2 in mm^2
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Answer:
4900mm^2 or 24010000mm
Step-by-step explanation:
5. What is the inverse function of
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Answer:
i think that it is. C.
i think it will help
Hope that helps!
The mean of the numbers 22,18,(2y+1),10 and 20 is 15.
find the median.
Answers
Answer:
Median is 18
Step-by-step explanation:
Firstly you have to fine y by using your mean
Therefore, 22+18+(2y+1)+10+20 divide it by the number of the mean that is the sum of the number divide by the total number of the mean which is 5 =15
22+18+2y+1+10+20 over 5 =15
71+y over 5 =15
Cross multiple
71+y=75
y=4
22,18,9,10, 20
Rearrange
9,10,18,20,22
The median is 18
Pls mark answer as brainliest
Do the ratios 6:4 and 4:3 form a proportion
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Answer:
no
Step-by-step explanation:
When an equation in one variable is solved using a system of equations, the solution is always the
of each intersection.
Answers
Answer:
When an equation in one variable is solved using a system of equations, the solution is always the x-coordinate of each intersection.
Step-by-step explanation:
Answer:
1st part: X Coordinate
2nd part: A and C
Step-by-step explanation:
Shelly ran 20 minutes and burned 130 calories.
Which equations can be used to find the average number of calories, c, burned per minute?
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Answer:
I think its A and E
Step-by-step explanation:
You would have to divide 130 by 20 which thats what both expressions are doing. SORRY IF IM WRONG LOL
b) Select all expressions that can be used to find 85% of 280.
A. O
8.5
10
280
B.
0.85
100
280
c. O
85
100
• 280
Answers
Answer:
238
Step-by-step explanation:
85%of 280 is 238 ok.......
6 to the third power + 5(4 − 2)
28
36
226
234
Answers
Answer:
226
Step-by-step explanation:
6 x 6 x 6 = 216
4 - 2 = 2 x 5 = 10 so add 216 and 10 together to get an answer of 226
Use the distributive property to rewrite the expression -1 (x -2)
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Answer:
Step-by-step explanation:
Distributive property: a*(b + c) =(a*b) + (a*c)
Multiply x by (-1) and (-2) by (-1)
-1(x - 2 ) = (-1)*x - 2 *(-1)
= -x + 2
What is the probability of landing on red and rolling a number greater than 2?
1/6
1/4
1/3
1/2
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Please help me with this!
Give an approximation of the height of the tree.
The tree is approximately____ feet tall.
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24 ÷ 8 = 3
3 × 3 = 9 ft
that's all
Original Price Percent of Discount Sale Price $ 15% $146.54
Answers
Answer:
$21.98
Step-by-step explanation:
Answer:
172.40
Step-by-step explanation:
YOU'LL GET MARKED AS A BRAINLYIEST IF YOU ANSWER THIS IN 1-2 MINUTIES. A party room at a restaurant can hold no more than 100 people. Which inequality represents p, the number of people who can be in the room?
A. 0 < p < 100
B. 0 ≤ p ≤ 100
C. p ≥ 100
D. p > 100
Answers
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
P must be equal to or less than 100 and having less than 0 people makes no sense
Two trapeziums are similar, thee area of one of the trapezium is 4times that of the other. Determine the ratio of the perimeter & the corresponding side length of the trapezium
Answers
Answer:
The ratio of the perimeters of the two trapezium is 2
The ratio of the corresponding sides of the two trapezium is 2
Step-by-step explanation:
The given parameters in the question are;
Two trapeziums are similar
The area of one trapezium = 4 × The area of the other trapezium
Let, A₁, and A₂ represent the area of the two trapeziums, we have
A₁ = 4 × A₂
∴ A₁/A₂ = 4
Given that ratio of areas = (Ratio of sides)²
Ratio of sides = Ratio of perimeter
∴ Ratio of areas = (Ratio of perimeter)²
Therefore, given that the ratio of the areas of the two trapeziums A₁/A₂ = 4, we have;
Ratio of areas = 4 = (Ratio of sides)²
The ratio of the corresponding sides = √4 = 2
The ratio of the corresponding sides = 2
Ratio of areas = 4 = (Ratio of perimeter)²
The ratio of the perimeter = √4 = 2
The ratio of the perimeter = 2
Answer:
The ratio of the perimeters of the two trapezium is 2
The ratio of the corresponding sides of the two trapezium is 2
Step-by-step explanation:
The given parameters in the question are;
Two trapeziums are similar
The area of one trapezium = 4 × The area of the other trapezium
Let, A₁, and A₂ represent the area of the two trapeziums, we have
A₁ = 4 × A₂
∴ A₁/A₂ = 4
Given that ratio of areas = (Ratio of sides)²
Ratio of sides = Ratio of perimeter
∴ Ratio of areas = (Ratio of perimeter)²
Therefore, given that the ratio of the areas of the two trapeziums A₁/A₂ = 4, we have;
Ratio of areas = 4 = (Ratio of sides)²
The ratio of the corresponding sides = √4 = 2
The ratio of the corresponding sides = 2
Ratio of areas = 4 = (Ratio of perimeter)²
The ratio of the perimeter = √4 = 2
The ratio of the perimeter = 2
the length of a rectangle is 6 feet longer than its width the perimeter is less than 48 feet write a mathematical expression for the width of the rectangle
Answers
Answer:
288
Step-by-step explanation:
Ethan once heard that wearing colorful socks helped release your positive energy toward others. Being the scientist that he is, he decided to put the claim to the test by running a well-designed study. He had 18 people wearing colorful socks at an auditorium where the rest of the people were wearing white socks. After carefully designing, collecting, and analyzing his data, he found no statistically significant difference between his sample of 18 participants and the rest of the population he studied regarding positive energy. What should Ethan conclude regarding the null hypothesis
Answers
Answer:
The answer is "Choice A".
Step-by-step explanation:
Please find the complete question in the attachment file.
Throughout this question by acceptance of its zero hypotheses becomes equal to "the failure to accept the zero hypotheses." Its best answer is to refuse the null hypothesis or conclude how he had no effects on vibrant socks mostly on basis of this study, that's why the above given choice is correct.
The area of the triangular base of the prism above is 9 cm2. The height of the prism is 11 cm.
What is volume of the prism?
A.99 cm3
B.891 cm3
C.1,089 cm3
D.29 cm
PLEASE HELP!!!!! Much appreciated!
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Answer: B
Step-by-step explanation: first you have to find the square root of 9 (81) then multiply that by 11 which is 891
The side length 11, 13, 25 will form a triangle
True or False
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Answer:
The answer is False.
HELP ILL GIVE BRAINLIEST what’s the shape of the
Base?
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Answer:
circle
Step-by-step explanation:
What is the value of x in the equation?
221 = 17 x
12
13
204
238
Answers
explanation: you bring the 17 over so you would divide 221 & 17 and get the answer of 13.
Answer:
13
Step-by-step explanation:
can you help me with 5
Answers
9514 1404 393
Answer:
see below for the graph
Step-by-step explanation:
We can specify the location of the minimum and the axis of symmetry using the vertex form of the quadratic equation:
y = a(x -h)² +k . . . . . . . vertex (h, k); scale factor 'a'
We can put the given values into the equation to see what 'a' needs to be to make the function have the desired y-intercept.
-3 = a(0 -(-2))² +(-5)
2 = 4a . . . . add 5 and simplify
a = 1/2 . . . . divide by 4
The equation for the desired function can be ...
y = 1/2(x +2)² -5
The arc measure of AB is 74, what is the arc measure of CD?
Answers
Which of the following is closest to the distance that the tip of the hand travels as it moves from
the 12 to the 3?
Answers
Answer:H
Step-by-step explanation:
The distance that the tip of the hand travels as it moves from the 12 to the 3 will be 15.7143 cm.
What is an arc?An arc is a smooth curve that joins two endpoints. The arc is mostly referred to as a part of the circle.
As it is given that the length of the hand of the clock is 10 cm, and the movement of the hand of the clock is from 12 to 3 therefore, the movement is about 90°.
Now, if we see the movement of the hand of the clock it will be along the arc of the circle, therefore, the length of the arc with a radius of 10 cm and angle of 90° can be written as,
[tex]\text{Length of the arc} = 2\pi r \times \dfrac{\theta}{360^o}[/tex]
[tex]= 2 \times \pi \times 10 \times\dfrac{90}{360}\\\\= 2 \times \pi \times 10 \times\dfrac{1}{4}\\\\= 15.7143\rm\ cm[/tex]
Hence, the distance that the tip of the hand travels as it moves from the 12 to the 3 will be 15.7143 cm.
Learn more about Arc:
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I NEED HELP ASAP!!!
Chose one answer form the picture below.
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Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
I am not so sure tho it's either b or d
Find the value of x in the figure shown.