Answer:
L is equal to 0.25.
Do you want me to put an explanation?
Each square below represents one whole ……. What percent is represents by the shade area ?
Analyze the solution set of the following system by following the given steps. 2x + y = 5 3y = 9 − 6x Write each equation in slope-intercept form. y = -2 x + 5 y = -2 x + 3 What do the equations have in common? How are they different?
Step-by-step explanation:
Given the following systems of linear equations, 2x + y = 5, and 3y = 9 − 6x
Write each equation in slope-intercept form.The slope-intercept form is: y = mx + b, where m = slope, and b = y-intercept.
2x + y = 5Subtract 2x from both sides:
2x - 2x + y = - 2x + 5
y = -2x + 5 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 5.
3y = 9 − 6xDivide both sides by 3 to isolate y:
3y = − 6x + 3
[tex]\frac{3y}{3} = \frac{-6x + 9}{3}[/tex]
y = -2x + 3 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 3.
What do the equations have in common?y = -2x + 5
y = -2x + 3
These equations have the same slope, m = -2.
How are they different?They have different y-intercepts.
y = -2x + 5 ⇒ The y-intercept is (0, 5), where b = 5.
y = -2x + 3 ⇒ The y-intercept is (0, 3), where b = 3.
The equations have the same slope but different y-intercepts, meaning they are parallel lines that run parallel to each other and are spaced vertically apart by a difference of 2 units.
Step 1: Write each equation in slope-intercept form.
Given system of equations:
1. 2x + y = 5
2. 3y = 9 - 6x
Slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
Let's rewrite the equations in slope-intercept form:
1. 2x + y = 5
Subtract 2x from both sides: y = -2x + 5
2. 3y = 9 - 6x
Divide both sides by 3: y = -2x + 3
Step 2: The equations have the same slope (-2) but different y-intercepts 5 and 3.
The common slope (-2) indicates that the lines represented by these equations have the same steepness or inclination.
The difference in y-intercepts means that the lines are parallel and run parallel to each other.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ3
Find (- 18) + (-25) + 13.
-56
20
-30
-6
Answer: -30
Step-by-step explanation:
the sum of the first n terms of an arithmetic sequence is 242. If the first term is 12 and the last term is 42, find the value of n
badly need this rn
Answer:
Step-by-step explanation:
Sum of first n terms = 243
[tex]a_{1} = 12 \\\\l = 42\\\\S_{n} = \dfrac{n}{2}(a_{1}+l)\\\\\dfrac{n}{2}(12+42) = 243\\\\\\\dfrac{n}{2}*54=243\\\\\\n*27=243\\\\n=\dfrac{243}{27}\\\\n=9[/tex]
I need help please I don't not understand this is getting on my nerves.
I will give you all my point
Answer:
24,748
Step-by-step explanation:
538
x 46
3228
21520
24748
guys help
Evaluate the numerical expression.
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]
= (25)2 × 100 ÷ 23 + [24 ÷ 8]
= 25 × 2 × 100/23 + 3
= 5000/23 + 3
= 5000+69/23
= 5069/23
= 220 9/23
Write the equation of the line in Point-Slope Form given the information below.
Slope=7
Point=(1,4)
Answer:
Step-by-step explanation:
y - 4 = 7(x - 1)
y - 4 = 7x - 7
y = 7x - 3
Solve for x and y !!!!!!!!!!!
Answer:
x=12; y=138.
Step-by-step explanation:
1. 4x+(3x+6)=90 - to calculate 'x';
3x+6+y=180 - then to calculate 'y';
2. 7x+6=90; ⇒ x=12;
3. 3*12+6+y=180; ⇒ y=138°.
167.67 divided by 8.1
Answer:
167.67 divided by 8.1 = 20.7
How do you figure out a missing number in an input and output table?
Answer:
- we can find the slope of the equation for the table and then plug in values into y = mx+b to find the full equation
Step-by-step explanation:
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Third one down
Step-by-step explanation:
Donna bought a notebook for $3.50 and then spent half of her money for a textbook. Next she bought sheet music for $4.00 and then spent half of the remaining money on a calculator. She had $8.00 left. How much money did she start with?
Answer:
$43.50
Step-by-step explanation:
(Work out backward to find the answer)
Remaining money => $8
=> 8 x 2 = 16
=> 16 + 4 = 20
=> 20 x 2 = 40
=> 40 + 3.50 = 43.50
= $ 43.50
Hence, she had $ 43.50 at the beginning.
If
x
=
4
and
y
=
6
, evaluate the following expression:
2
(
x
+
y
)
[tex]x=4 , ~y = 6\\\\2(x+y) = 2(4+6) = 2(10) = 20[/tex]
HELP ME OUT PLEASE
Use the data to create a scatter plot.
Answer: i dont know if this will be correct but, the 2 goes on the bottom count 5 up so you will get the first one done, bottom 3 and count up 8, bottom 4 and count up to 13, its the same for all of them.
Step-by-step explanation:
Which table of ordered pairs represents a proportional relationship?
CS
Х
-2
-4
-6
у
4
16
36
х
-4
-6
-8
y
-8
-12
-18
Х
-3
-5
-7
y
5
3
1
X
-3
6
_9
у
12
24
36
Answer: A 2-column table with 3 rows.
Step-by-step explanation:
Need help with thissss!!
Answer:
f(5) = 38
Step-by-step explanation:
f(a) = 7(a + 1) - 4
f(5) = 7(5 + 1) - 4
f(5) = 7(6) - 4
f(5) = 42 - 4
f(5) = 38
PLZZZZ HELP BRAINLYEST AND 100 POINTS
Identify the number of real and imaginary solutions for: f(x)=x4+3x3+2x−6
(Write answer as a number, not a word)
Imaginary=
real=
Answer:
2 imaginary; 2 real
You can factor it as ...
f(x) = (x^2 -16)(x^2 +1) . . . . . . . . . x^2-16 is the difference of squares
= (x -4)(x +4)(x^2 +1)
The two linear factors have real zeros; the quadratic factor has two imaginary zeros. There are 2 imaginary and 2 real zeros.
Step-by-step explanation:
Hope this helps:)
Function or not functional? Pls help tyyy
Answer:
not functional, 0 over laps with T and X. so that should make it not functional (I think )
For each of the following equations, show that the given value of x is a solution of the equation by direct substitution.
a) x = 4/3, Equation: 3x^2 + 5x - 12=0
b) x=1 + square root 6 , Equation: x^2 - 2x-5=0
c) x= 1 + 2i, Equation: x^2 - 2x+5=0
a.
The value x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
Since the equation is 3x² + 5x - 12 = 0, if x = 4/3, is a solution, substituting x = 4/3 into the equation will make the equation will make the left hand side equal zero.
So, 3x² + 5x - 12 = 0
Substituting x = 4/3, we have
3(4/3)² + 5(4/3) - 12
= 3(16/9) + 20/3 - 12
= 16/3 + (20 - 12 × 3)/3
= 16/3 + (20 - 36)/3
= 16/3 - 16/3
= 0
So, x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
b.
The value x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
Since the equation is x² - 2x - 5 = 0, if x = 1 + √6, is a solution, substituting x = 1 + √6 into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x - 5 = 0
Substituting x = 4/3, we have
x² - 2x - 5 = (1 + √6)² - 2(1 + √6) - 5
= (1² + 2√6 + (√6)²) - 2 - 2√6) - 5
= 1 + 2√6 + 6 - 2 - 2√6) - 5
= 2√6 + 6 + 1 - 2√6) - 5 - 5
= 2√6 + 7 - 2√6) - 7
= 2√6 - 2√6 + 7 - 7
= 0 + 0
= 0
So, x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
c.
The value x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Since the equation is x² - 2x + 5 = 0, if x = 1 + 2i, is a solution, substituting x = 1 + 2i into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x + 5 = 0
Substituting x = 1 + 2i, we have
x² - 2x + 5 = (1 + 2i)² - 2(1 + 2i) + 5
= (1² + 2(2i) + (2i)²) - 2 - 4i + 5
= 1 + 4i - 4 - 2 - 4i + 5
= 4i + 1 - 4 - 2 - 4i + 5
= 4i - 5 - 4i + 5
= 4i - 4i + 5 - 5
= 0 + 0
= 0
So, x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Learn more about quadratic equations here:
https://brainly.com/question/11982012
method
Solve the problem.
22) Find the area of the skating rink. Round to the nearest tenth.
36 ft
The rectangle
9 ft
36 X 9
平
6)9:36
19.36 -762
Step-by-step explanation:
the rink is a combination of a rectangle and 2 half-circles.
so, we need the areas of the rectangle and a full circle and add these 2 values.
the survivability is a little bit unclear. are the 9 ft the length of the arrow, or the whole width of the area ?
let's assume it is the first.
then the 9ft are the radius of the half-circles, and the width of the ice area is then the diameter of the circles and therefore twice the radius. 2×9 = 18ft.
the rectangle is simple :
Ar = 36×18 = 648 ft²
the formula for the area of a circle is
Ac = pi×r² = pi×9² = pi×81 = 254.4690049...ft²
this is rounded 254.5 ft²
as total area we have
648 + 254.5 = 902.5 ft²
population growth problem: the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million
If cos θ = sin 2 θ, then the value of θ is = ___?
Given that:
Cos θ = Sin 2θ
⇛ Cos θ = 2 Sin θ Cos θ
⇛ Cos θ / Cos θ = 2 Sin θ
⇛ 1 = 2 Sin θ
⇛ 1/2 = Sin θ
⇛ Sin θ = 1/2
⇛ Sin θ = Sin 30°
⇛ θ = 30°
Therefore, θ = 30°
Answer :-The value of θ for the given problem is 30°
Check:-
LHS = Cos θ
⇛ Cos 30°
⇛ √3/2
RHS = Sin 2θ
⇛ Sin (2×30°)
⇛ Sin 60°
⇛ √3/2
LHS = RHS is true for θ = 30°
»If you have any doubt, then you can ask me in the comments.
A satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million three hundred thirty four thousand four hundred plus y squared over forty three million nine hundred fifty six thousand nine hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?
6,880 km
6,630 km
510 km
260 km
An elliptical of the satellite in the field of astrodynamics is known as a
Kepler orbit.
The distance between the satellite and the Earth is; 510 km.
Reasons:
The function that represents the elliptical orbit of the satellite is presented
as follows;
[tex]\dfrac{x^2}{47,334,400} + \dfrac{y^2}{43,956,900} = 1[/tex]
The radius of the Earth, R = 6,370 km.
The equation of an ellipse is presented as follows;
[tex]\mathbf{\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2}} = 1[/tex]
Where, in a horizontal ellipse;
a = The major axis (the longer axis), which gives the maximum distance
between the satellite and Earth.
b = The minor axis (the shorter axis)
By comparison, we get;
a² = 47,334,400 km²
Therefore;
a = √(47,334,400 km²) = 6,880 km.
The distance between the satellite and the surface of the Earth, d, is given
as follows;
d = a - R
Which gives;
d = 6,880 km - 6,370 km = 510 km
Distance between the satellite and the surface of the Earth, d = 510 km.
Learn more here:
https://brainly.com/question/13999216
Answer:510 KM
Step-by-step explanation:
3) ) Each of the functions below model the monetary value of an item. Which is the only that has a growth factor showing the item is increasing in value?
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
Please help & solve for x thank you!
9514 1404 393
Answer:
x = 23.1
Step-by-step explanation:
The parallel lines make the left segments proportional to the right segments. This lets us write the equation ...
x/14 = 33/20
Multiplying by 14, we get ...
x = 14(33/20) = 7(33/10) = 23.1
How do you apply the distrubtive property to simplify the expression. -3(6+2
Answer:
-24
Step-by-step explanation:
multiply the 6 by the -3 and the 2 by -3
you get -18+-6
if you add them together u get -24
Hey there!
-3(6 + 2)
= -3(8)
= -24
Therefore, your answer is: -24
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the probability that a positive integer not exceeding 100 selected at random is divisible by 3
Answer:
33/100
Step-by-step explanation:
E = 99/3
p = E/S = 33/100
Solve this system using the substitution method: 9x – 2y = 4; 3x – 5 = y
A freight train 22.5 miles per 60 miles to its destination how far from the destination will the train be in 2.5 hour
8.2 is 2% of what number
Answer:
Step-by-step explanation:
If 2% × 410 = 8.2 => Divide 8.2 by 410And see if we get as a result: 2% Note: Multiply a number by the fraction 100/100, and its value doesn't change.
Answer:
m = 410
Step-by-step explanation:
Let the number be n. Then:
8.2
--------- = 0.02
n
Cross-multiplying yields 0.02n = 8.2, from which we find n = 410
Recall that a percentage, such as 2%, is equivalent to a decimal fraction, such as
2%
-------- = 0.02
100%