Answers
Answer:
A = 2, B = 3 and C = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y = 2 ( subtract 2x from both sides )
3y = - 2x + 2 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = [tex]\frac{4}{3}[/tex]
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{4}{3}[/tex] ← in slope- intercept form
Multiply through by 3
3y = - 2x + 4 ( add 2x to both sides )
2x + 3y = 4 ← in standard form
with A = 2, B = 3 and C = 4
Related Questions
Scarlett made a scaled copy of the following quadrilateral. She used a scale factor greater than 1. What could be the length of the side that corresponds with angle AD on the scaled copy of the quadrilateral? Choose 2 answers.
Answers
Answer:
Step-by-step explanation:
First of all AD is 9 units long. Anything less than or equal to 9 is not an answer because the scale factor is greater than 1. That means that anything over 9 will work.
So the answer must be 12 or 15 from those answers given.
Answer:
Answer
Step-by-step explanation:
The answer is 12 AND 15
D and E
when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and one in the denominator?
Answers
Answer:
x-3 is cancelled and just one remains in numerator.
2x + 3y = 40
5x + 2y = 30
Answers
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
A) Let's solve for x. [tex]2x + 3y = 40[/tex]
Step 1: Add -3y to both sides.
[tex]2x + 3y + -3y = 40 + -3y[/tex]
[tex]2x = -3y + 40[/tex]
Step 2: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{-3y + 40}{2}[/tex]
[tex]x = \frac{-3}{2} y + 20[/tex]
Answer : [tex]\frac{-3}{2} y + 20[/tex]
~~~~~~~~~~~~~~~~~
B) Let's solve for x. [tex]5x + 2y = 30[/tex]
Step 1: Add -2y to both sides.
[tex]5x + 2y + -2y = 30 + -2y[/tex]
[tex]5x = -2y + 30[/tex]
Step 2: Divide both sides by 5.
[tex]\frac{5x}{5} = \frac{-2y + 30}{5}[/tex]
[tex]x = \frac{-2}{5} y + 6[/tex]
Answer : [tex]\frac{-2}{5} y + 6[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
X=10/11
Y=140/11
Which statement is false? Question 4 options: All whole numbers are integers. All natural numbers are whole numbers. All real numbers are irrational numbers. All whole numbers are real numbers.
Answers
Answer:
C
Step-by-step explanation:
Not all real numbers are irrational.
Simplify 6 to the second power
Answers
Answer:
36Step-by-step explanation:
[tex]6^2 =6\times 6\\\\= 36[/tex]
[tex] \frac{ {9x}^{2} - {(x}^{2} - 4) {}^{2} }{4 + 3x - {x}^{2} } [/tex]
pls help me need help asap
Answers
Answer:
[tex] { x^2+3x-4} [/tex]
Step-by-step explanation:
Factor top and bottom.
The numerator is a difference of two squares, and the denominator is a quadratic.
[tex] \frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} } [/tex]
= [tex]\frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}[/tex]
= [tex] \frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)} [/tex]
If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give
= [tex] { (x-1)(x+4)} [/tex]
= [tex] { x^2+3x-4} [/tex]
Answer:
The answer is
x² + 3x - 4Step-by-step explanation:
[tex] \frac{9 {x}^{2} - ( { {x}^{2} - 4})^{2} }{4 + 3x - {x}^{2} } [/tex]
To solve the expression first factorize both the numerator and the denominator
For the numerator
9x² - ( x² - 4)²
Expand the terms in the bracket using the formula
( a - b)² = a² - 2ab + b²
(x² - 4) = x⁴ - 8x² + 16
So we have
9x² - (x⁴ - 8x² + 16)
9x² - x⁴ + 8x² - 16
- x⁴ + 17x² - 16
Factorize
that's
(x² - 16)(-x² + 1)
Using the formula
a² - b² = ( a + b)(a - b)
We have
(x² - 16)(-x² + 1) = (x + 4)(x - 4)( 1 - x)(1 + x)
For the denominator
- x² + 3x + 4
Write 3x as a difference
- x² + 4x - x + 4
Factorize
That's
- ( x - 4)(x + 1)
So we now have
[tex] \frac{(x + 4)(x - 4)( 1 - x)(1 + x)}{ - (x - 4)(x + 1)} [/tex]
Simplify
[tex] \frac{ - (x + 4)(1 - x)(1 + x)}{x + 1} [/tex]
Reduce the expression by x + 1
That's
-( x + 4)( 1 - x)
Multiply the terms
We have the final answer as
x² + 3x - 4Hope this helps you
Please help!! Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet. The distance between the birdwatcher and the second bird is 45 feet. What is the angle measure, or angle of depression, between this bird and the birdwatcher? Round your answer to the nearest tenth. 35.4° 44.7° 45.3° 54.6°
Answers
Answer:
45.3°
Step-by-step explanation:
A right triangle is formed given the information above.
Angle of depression = x°
Distance between first bird and birdwatcher = opposite to angle x° = 32 ft
Distance between second bird and birdwatcher = hypotenuse of the right triangle formed = 45 ft
The trigonometric ratio formula to use is:
[tex] sin(x) = \frac{opp}{hypo} [/tex]
[tex] sin(x) = \frac{32}{45} [/tex]
[tex] sin(x) = 0.7111 [/tex]
[tex] x = sin^{-1}(0.7111) [/tex]
[tex] x = 45.3 [/tex] (nearest tenth)
Angle of depression = 45.3°
Answer:
45.3°
Step-by-step explanation:
Hope this helps :)
Factorize
4a^2-24a^2b^2+9b^2
Answers
On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is feet.
Answers
Complete question :
Zen is participating in an all-day hike to the Grandfather Mountain Summit on the Blue Ridge Parkway.
Starting at elevation zero, Zen climbs to an elevation of 4,646.4 feet to reach the Cragway Trail. From there, he hikes up another 1,817.6 feet to the Calloway Peak Summit, the highest point on Grandfather Mountain. Based on these numbers, the Calloway Peak Summit is at a height of _____ feet.
On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is ______ feet.
Answer:
6,464 Feets; 4,061.5 Feets
Step-by-step explanation:
Given the following:
Starting elevation = 0
Elevation of the Cragway Trail = 4,646.4 feets
Elevation of Cragway Trail to Calloway peak summit = 1,817.6
From Calloway peak summit, Zen descends to an elevation of 2,402.5 Feets (flat Rock junction)
The Calloway Peak Summit is at a height of _____ feet.
Height of Calloway Peak Summit:
(Starting elevation to Cragway trail) + (Cragway trail elevation to Calloway peak Summit)
4,646.4 Feets + 1,817.6 Feets = 6,464 Feets
B) Elevation at Flat Rock Junction:
Height of Calloway peak summit - 2,402.5
(6464 - 2402.5) Feets = 4,061.5 Feets
According to the graph, what is the value of the constant in the equation
below?
A. 30
B. 72
C. 60
D. 15
Answers
Greetings from Brasil...
As stated in the statement:
HEIGHT = CONSTANT ÷ WIDTH
H = C ÷ W
so, isolating the variable C....
C = H · W
choosing any point on the graph...
(2; 30) ⇒ W = 2 and H = 30
C = H · W
C = 30 · 2
C = 60The value of the constant in the equation shown in the figure would be, 60. Hence option C is true.
Given that,
The graph is the relation between Height and width.
As is given in the graph:
Height = Constant / Width
We observe that the graph passes through (2,30), (5,12), (10,6), (30,2)
So, by using any one point we may get the value of constant( since it is a fixed quantity)
Hence, using the point (2,30)
Width = 2
And, Height = 30
So, we get:
Constant = 2 × 30
= 60
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What are the factors of the quadratic function represented by this graph?
A.
(x − 1) and (x − 5)
B.
(x + 1) and (x + 5)
C.
(x − 1) and (x + 5)
D.
(x + 1) and (x − 5)
Answers
The factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.
What is quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^2 + bx + c = 0,[/tex]
Here in the graph we can see that the x coordinate cut by the curve of the quadratic equation is in the negative side of x at -1 and -5.
So the factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.
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Answer:
Check Screenshot
Step-by-step explanation:
Please answer this question now
Answers
Answer:
A≈422.37
You use the equation A=πr(r+h2+r2) to find the surface area of a cone
Answer:
373.99 sq cm
Step-by-step explanation:
formula for surface area of cone is: πr(r+s) where r is radius and s is slant height.
π*7(7+10) = π*7(17) = π*119 = 3.14*119 = 373.99 sq cm
Write a function rule for the table
х
f(x)
0
3
1
4
2
5
3
6
Answers
Answer:
f(x) = x +3
Step-by-step explanation:
The first differences for adjacent x-values are all 1, so this is a linear function. Because those differences are all 1, it is a linear function with a slope of 1. We observe that f(0) = 3, so that is the y-intercept.
__
The slope-intercept form of a linear function is ...
y = mx + b . . . . . where m is the slope (1) and b is the y-intercept (3).
A suitable function rule is ...
f(x) = x +3
If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team? 6 p = 42 7 p = 42 6 + p = 42 42 - p = 6
Answers
Explanation:
6p = 42
P = 42/6
P = 7
If everybody on the team scores 6 points, and the team has a total of 42 points, the people that are on the team are 7 people.
What is addition?The addition is one of the four basic mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
The addition is a method of merging items and counting them as a single, large group. In mathematics, addition is the process of joining two or more integers.
The process of adding two or more numbers together to get their sum is known as an addition. The addition is a fundamental arithmetic operation that is used to compute the sum of two or more numbers. For instance, 7
+ 7 = 14.
6p = 42
P = 42/6
P = 7
Therefore, the people that are on the team are 7 people.
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If triangle ABC, m B = 90°, cos(9 = 17, and AB = 16 units.
Based on this information, m
Note that the angle measures are rounded to the nearest degree.
units.
Answers
Answer:
m∠A = 62°
m∠C = 28°
AC = 17 units
Step-by-step explanation:
In the given triangle ABC,
m∠B = 90°, Cos(C) = [tex]\frac{15}{17}[/tex] and AB = 16 units
Since, Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}[/tex]
Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}=\frac{15}{17}[/tex]
[tex]\text{C}=\text{Cos}^{-1}(\frac{15}{17})[/tex]
m∠C = 28.07°
m∠C ≈ 28°
Therefore, side BC = 15 units and AC = 17 units
Now we apply Sine rule in the given triangle.
Sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{BC}}{\text{AC}}[/tex]
= [tex]\frac{15}{17}[/tex]
A = [tex]\text{Sin}^{-1}(\frac{15}{17} )[/tex]
A = 61.93°
m∠A = 62°
PLEASE HELP!! It’s for a math class and I can’t figure it out been trying every website nothing has helped!
Answers
Answer:
11.6%
I hope this helps!
What is the answer??
c — 10 ≥ 15
Answers
Answer:
Step-by-step explanation:
c - 10 ≥ 15 =
c ≥ = 15 + 10
c ≥ = 25
c = 26 ( or numbers above 26)
Insert 2 sets of parentheses to make each sentence true: 2 x 14 – 9 – 17 – 14 = 7 (2 x 14) – 9 – (17 – 14) = 7 2 x (14 – 9) + (– 17 – 14) = 7 (2 x 14) – (9 – 17) – 14 = 7 2 x (14 – 9) – (17 – 14) = 7
Answers
Answer:
2 × (14 – 9) – (17 – 14) = 7
Step-by-step explanation:
Evaluate the choices to see which is true.
(2 x 14) – 9 – (17 – 14) = 7 ⇒ 28 -9 -3 ≠ 7
2 x (14 – 9) + (– 17 – 14) = 7 ⇒ 2(5) +(-31) ≠ 7
(2 x 14) – (9 – 17) – 14 = 7 ⇒ 28 -(-8) -14 ≠ 7
2 x (14 – 9) – (17 – 14) = 7 ⇒ 2(5)- 3 = 7 . . . . true
Solve for x 3(x+7)-14=22
Answers
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your equation step-by-step.
[tex]3(x+7)-14=22[/tex]
Step 1: Simplify both sides of the equation.
[tex]3 ( x + 7 ) - 14 = 22\\(3)^(x) + (3) (7) + - 14 = 22[/tex] (Distribute)
[tex]3x + 21 + -14 = 22[/tex]
[tex]( 3x) + (21 + -14 ) = 22[/tex] (Combine Like Terms)
[tex]3x + 7 = 22\\3x + 7 = 22[/tex]
Step 2: Subtract 7 from both sides.
[tex]3x + 7 - 7 = 22 - 7 \\3x = 15[/tex]
Step 3: Divide both sides by 3.
[tex]\frac{3x}{3} = \frac{15}{3} \\x = 5[/tex]
So your answer would be : [tex]\boxed {x = 5}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Have a great day/night!
❀*May*❀
Which of the following are true statements about David Hilbert?
He invented the point.
He was a German mathematician.
n He developed Hilbert's axioms.
He wrote a blography on Euclid.
Hilbert's Improvements to geometry are still used in textbooks today.
Answers
Answer:
he invented the point
he was a German mathematician
he Hilbert's improvements to geometry are still used in textbooks today
he developed Hilbert's axioms
Step-by-step explanation:
Answer:
He was a German mathematician.
If only one is true then you're good to go.
Whoops never mind.. :/
need help...!!ASAP..!! plz....
Answers
the answer for this is A
Answer:
Correct option is A
Step-by-step explanation:
3x - 7
Three times a number x minus 7
Or
The difference of there times a number and 7
please help me solve
Answers
Answer:
18 square centimeters
Step-by-step explanation:
Notice that if e is the midpoint of the side CB, and angle [tex]\angle x = 45^o[/tex], then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 [tex]cm^2[/tex]
Answer:
(B) 18
Step-by-step explanation:
The angle x is 45 degrees. Since it is bisecting a 90 degree angle, the angle on the other side is 45 degrees.
90 - 45 = 45
Since AB is 3, DC is 3. Since the right triangle DC is 45-90-45, the other side, CE, will also be 3. Since CE is half of the side of the rectangle, multiply it by 2 to get 6. The sides of the rectangle are 3 and 6. Use the formula for area of a rectangle to solve.
A = lw
A = (6)(3)
A = 18
The answer is B.
Just need help
the equations are above
Answers
Answer:
6×4p=24p
15a÷3=5a
3t×8y=24ty
24ef÷12e=2f
-4fx-5px-3 =-x(4f+5p)-3
-9abc÷3a=-3bc
What is the volume of this rectangular prism?
3 cm
cm
1
cm
Answers
Answer:
.75cm³
Step-by-step explanation:
To find the volume of a shape like this it is,
base×height×width.
In this case it is .5×.5×3=.75cm³
Answer:
3/4 or 0.75
Step-by-step explanation:
Length times width times height:
1/2 * 1/2 * 3
= 3/4
when the point ( k, 3 ) lies on each of these lines, find the value of k y= 3x+1 , y= 4x-2 , y=1/2x - 1 and 2x+3y=4
Answers
Answer:
see explanation
Step-by-step explanation:
Since (k, 3) lies on each of the lines, the point satisfies the equations.
Substitute x = k, y = 3 into each and solve for k
y = 3x + 1
3 = 3k + 1 ( subtract 1 from both sides )
2 = 3k ( divide both sides by 3 )
k = [tex]\frac{2}{3}[/tex]
-------------------------------------------------------
y = 4x - 2
3 = 4k - 2 ( add 2 to both sides )
5 = 4k ( divide both sides by 4 )
k = [tex]\frac{5}{4}[/tex]
--------------------------------------------------------
y = [tex]\frac{1}{2}[/tex] x
3 = [tex]\frac{1}{2}[/tex] k ( multiply both sides by 2 to clear the fraction )
k = 6
---------------------------------------------------------
2x + 3y = 4
2k + 3(3) = 4
2k + 9 = 4 ( subtract 9 from both sides )
2k = - 5 ( divide both sides by 2 )
k = - [tex]\frac{5}{2}[/tex]
The formula for the area of a triangle is A = 12bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 32 cm2 and the height is 4 cm? A. 4 cm B. 8 cm C. 16 cm D. 18 cm
Answers
Answer:
guys its 8cm its the most logic answer because 8x 4 is 32, correct me if im wrong
Step-by-step explanation:
The ratio of two numbers is 2:3 and the sum of their cubes is 945,what are the two numbers. let the 1st no be=2x and 2nd=3x (2x)^3 + (3x)^3=945
Answers
Answer:
The first number is 6, the second number is 9Step-by-step explanation:
a:b = 2:3
a = 2x - first number
b = 3x - second number
a³ + b³ = 945
[tex](2x)^3 + (3x)^3=945\\\\8x^3 +27x^3=945\\\\35x^3 = 945\\\\x^3=945:35\\\\x^3=27\\\\ x^3=3^3\\\\x=3\\\\\\a=2\cdot3 = 6\\\\b=3\cdot3=9[/tex]
Answer ASAP THANKKK YOUUUUU
Answers
Answer:
D. 40
Step-by-step explanation:
Interquartile range is the difference between the upper quartile value (Q3) and the lower quartile value (Q1).
In a box plot, Q1 is located at the beginning of the edge of the rectangular box from our left, while the Q3 is located at the end of the edge of the rectangular box to our right.
Interquartile range for City A = 70 - 40 = 30
Interquartile range for City B = 80 - 40
Therefore, city B has greater variability. The interquartile range is 40.
A player has 15 hits in 34 times at bat and then gets
another hit. Did the batting average increase? Explain.
Answers
Answer:
yes, his batting average will increase bcz average of a batsmen is the sum of total hits per ball.
For all x, 5-3(x-4)=?
Answers
Answer:
the answer that i find is 17-3x
