Answer:
x 1 = -3
x2 = -3
y1 = 0
y2 = 5
The slope of that equation is infinite and the equation is a perfectly vertical line at x = -3.
So, the equation is x = -3.
Step-by-step explanation:
Given parameters:
The coordinates of points on the line;
(x, y) = (-3,0) and (x, y) = (-3, 5)
Unknown;
The equation of the line = ?
The equation of a line is usually expressed in the form y = mx + c
Where;
y and x are the coordinates
m is the slope
c is the y-intercept
Now we need to first find the slope of the line.
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
(x₁, y₁) = (-3,0) and (x₂, y₂) = (-3, 5)
Input the parameters and solve;
Slope = [tex]\frac{5 - 0}{-3 -(-3)}[/tex] = infinity
The line has an infinite slope.
The equation of the line is therefore x = c
x = -3
6(1-4w)=-18
do the distributive property
Answer:
w=1
Step-by-step explanation:
6(1-4w)=-18
(6*1)-(6*4w)=-18
6-24w=-18
-24w=-24
w=1
Will u mark me brainliest plz!!!!???!!!
w=1
Step-by-step explanation:
the area of this figure is? sq meters
Answer:
The figure was not included in your question?
I need help with #7 #11 #12 #13 and #14 please and ASAP
Answer:
54°
Step-by-step explanation:
Since m<2 + m<1 is equal to 180, we can set up the equation to find m<1.
plug in 126 as m<2, so we get
126 + m<1 = 180
-126 -126
m<1 = 54.
From this knowledge, we know that
7.) 54°
8.) 126°
9.) 54°
10.) 126°
11.) 54°
12.) 126°
13.) 54°
14.) 126°
An x-box cost $230 but is discounted 28%. What is the new cost of the x-box?
The new cost of the Xbox is $165.60
1.00 - 0.28 = 0.72
0.72 * 230 = 165.60
why is (4,1) not a solution to the equation y=3x+1
Answer:
When you plug in the coordinate into the equation, the equation becomes false.
Step-by-step explanation:
Step 1: Define
y = 3x + 1
(4, 1)
Step 2: Substitute and Evaluate
1 = 3(4) + 1
1 = 12 + 1
1 ≠ 13
Answer: plus x and y into the formula
Step-by-step explanation:
Solve 4x + 10-30
X<5
x>5
X<10
X>10
Answer:
0
Step-by-step explanation:
4x + 10 - 30
4 × 5 + 10 - 30
20 +10 - 30
30 - 30
0
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 500 cm and width 300 cm. She decides on a scale of 1 to 50.
b. Elena's bedroom door is 80 cm wide. How wide should the door be on the scale drawing? Explain your reasoning.
(*Hint #1* a good explanation uses Words, Numbers, or Pictures to justify your thinking).
if h(t) = -3t + 6 + 7t, What is h(3)
Answer:
h(3) = 18
Step-by-step explanation:
Step 1: Define
h(t) = -3t + 6 + 7t
h(3) is x = 3
Step 2: Simplify
h(t) = 4t + 6
Step 3: Substitute and Evaluate
h(3) = 4(3) + 6
h(3) = 12 + 6
h(3) = 18
pls help me with this
how do i do this! pls help ASAP, and pls show work too!
Answer:
a = (g +b)/cx = (u +2)/2Step-by-step explanation:
Find the variable in the expression and see what has been done to it. Here, 'a' has been multiplied by c, and b has been subtracted from the product. Undo those operations in reverse order.
Undo the subtraction of b by adding b to both sides.
g +b = ca -b +b
g +b = ca . . . . . note b is no longer subtracted from the product
Undo the multiplication by dividing both sides by c.
(g +b)/c = (ca)/c
(g +b)/c = a
a = (g +b)/c
__
The second problem is worked exactly the same way.
u = 2x -2
u +2 = 2x . . . . . add 2 to both sides
(u +2)/2 = x . . . . divide both sides by 2
x = (u +2)/2
What is the slope of the line whose equation is 5x+2y=10 ?
A. 2/5 C. -2/5
B. 5/2 D. -5/2
Please Help!!
Answer:
D
Step-by-step explanation:
You can rewrite the equation into slope intercept form and you get Y=10-5x/2 (The whole problem is being divided by 2).
You can leave -5/2 as it is because it's a lot easier to plot the point using Rise over Run or Rise/Run.
Hope this helps! :)
(1 point)
Calculate the directional derivative of f(x, y) = cot-'(xy) in the direction of v = -4i + 5j at the point P = (0.5, 0.5).
Remember to normalize the direction vector.
DS(0.5, 0.5) =
Looks like f(x, y) = cot⁻¹(xy), as in the inverse cotangent.
If you're like me and you don't remember the derivative of the inverse trig functions, we can derive it as follows. Let y = cot⁻¹(x), so that for appropriate x we can write cot(y) = x. By the chain rule, differentiating both sides gives
-csc²(y) y' = 1
y' = -sin²(y) = -sin²(cot⁻¹(x)) = - 1 / (x² + 1)
Next, recall that the derivative of a function f(x, y) at a point (a, b) in the direction of a vector v is given by
∇ f(a, b) • v
Compute the gradient ∇ f(x, y) :
∇ f(x, y) = - y / ((xy)² + 1) i - x / ((xy)² + 1) j
At the point P, we have
∇ f(x, y) = - 8/17 i - 8/17 j
So, the derivative of f at P along v = - 4 i + 5 j is
(- 8/17 i - 8/17 j) • (- 4 i + 5 j) = - 8/17
(a). Solve for x if 133x = 43 seven
(). Given that fix - 2x2 - 8x + 5 and g: x - x -2
(i). Calculate f(-3)
(ii). Find the values of x, such that f(x) = g(x)
Step-by-step explanation:
*Syntax Error*
just consult with your teacher
HELPPPPP NOOOWWWW PLEASE Seventh grade has already saved $60 for a field trip to Hersheypark they need to raise at least $720 in order to pay for the trip they decide to sell T-shirts to raise money they earn $12 toward the trip for every t-shirt they sell. Ryan the quality that represents the situation? How many teachers must they sell to earn at least $720?
Answer:
Please explain your question better.
Step-by-step explanation:
60 - 720 = 660
660 divided by 12 = 55
Answer:
60
Step-by-step explanation:
$720 divided by $12 is 60.
I don't think I did this right.
Nope prolly not
3.) Find the domain and range for each of the following functions.
3x² + 2x + 2 + 4x² + 5 Simplify
Answer: 7x^2 + 2x + 7
Step-by-step explanation:
Combine likes terms that have alike variables and alike exponents.
(3x^2 + 4x^2) + (2x) + (2 + 5)
7x^2 + 2x + 7
(2x + 25) y
(3x - 10)
solve to get the answers of the variables
Answer:
y = 65 degrees
Step-by-step explanation:
(this is what i remember from geometry at least so let me know if i got anything wrong)
2x+25 and 3x-10 are opposites which means they are equal to each other.
2x+25 = 3x-20 get the x values on the same side by subtracting 2 from both sides
25 = x-20 to get the x value alone add 20 to both sides
45 = x
now you can plug in x to either equation to find out what their degree is
2(45)+25 = 115 degrees
and since this equation and y are on the same line you can subtract 115 from 180 (a line is equal to 180 degrees) to find y
180-115 = 65 degrees
Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle. The value of the variables x and y are 35 and 85, respectively.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.
The angle measuring (2x+25)° and (3x-10)° are vertical angles. Therefore, we can write,
(2x + 25) = (3x - 10)
2x + 25 = 3x - 10
25 + 10 = 3x - 2x
x = 35
Also, in the given image the angle measuring (2x + 25)° and y° are supplementary angles, therefore, we can write,
(2x + 25)° + y° = 180°
2x + 25 + y = 180°
Substitute the value of x,
2(35) + 25 + y = 180
70 + 25 + y = 180
95 + y = 180
y = 85°
Hence, the value of the variables x and y are 35 and 85, respectively.
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Which of these expressions is the simplified form of the expression (StartFraction sine (x) Over 1 minus cosine squared (x) EndFraction) tangent (StartFraction x Over 2 EndFraction) ?
Given:
[tex]\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)[/tex].
To find:
The expression, which is equivalent to the given expression.
Solution:
We have,
[tex]\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)[/tex]
[tex]=\dfrac{\sin (x)}{1^2-\cos ^2 (x)}\times \dfrac{1-\cos (x)}{\sin (x)}[/tex] [tex][\because \tan \left(\dfrac{x}{2}\right)=\dfrac{1-\cos (x)}{\sin (x)}][/tex]
[tex]=\dfrac{\sin (x)}{(1-\cos (x))(1+\cos (x))}\times \dfrac{1-\cos (x)}{\sin (x)}[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
Cancel out the common factors.
[tex]=\dfrac{1}{1+\cos (x)}[/tex]
Therefore, the correct option is C.
Given question is incomplete; find the complete question in the attachment.
Simplified form of the given trigonometric expression will be represented by Option C.
Given expression is,
[tex][\frac{\text{sin(x)}}{1-\text{cos}^2(x)}]\tan(\frac{x}{2} )[/tex][tex][\frac{\text{sin(x)}}{1-\text{cos}^2(x)}]\tan(\frac{x}{2} )=\frac{\text{sin(x)}}{1-\text{cos}^2(x)}\times \frac{1-\text{cos}x}{\text{sinx}}[/tex] [Since. [tex]\text{tan}\frac{x}{2} =\frac{1-\text{cosx}}{sinx}[/tex]]
[tex]=\frac{1-\text{cos}x}{(1-\text{cosx})(1+\text{cosx})}[/tex]
[tex]=\frac{1}{1+\text{cosx}}[/tex]
Therefore, Option C will be the correct option.
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Janice is roller skating at a constant speed away from her house. The first half of the street is flat, but the second half has a steep upward hill. Janice moves more slowly as she skates up the hill.
Which graph shows Janice's position as she roller skates away from her house?
A. Z
B. X
C. W
D. Y
Answer:
If I had to guess... I think it would be Y
Step-by-step explanation:
The reason why I think its Y is because the line on the graph seems to go constant till it gets to the tip. As you can see the line is less slanted meaning that she is going slower. (If you know what I mean.. I tend to be bad at explaining things hehe..)
What percent is equivalent to 1/25
Answer:
4%
Step-by-step explanation:
Step 1:
1/25 = 4/100 Convert Fraction
Step 2:
4/100 = 0.04 Divide by 100
Step 3:
0.04 = 4% Convert
Answer:
4%
Hope This Helps :)
Julio and Kyle hike along the same trail. Kyle hikes the first 6 miles in 2 hours. Who hikes more quickly?
What is the value of f(5) if f(3)=10 and the rate of change over the interval 3≤x≤5 is 15?(1 point
f(5)=40
f(5)=20
f(5)=5
f(5)=10
The average rate of change of [tex]f(x)[/tex] over 3 ≤ x ≤ 5 is
[tex]\dfrac{f(5)-f(3)}{5-3}=15[/tex]
Solve for [tex]f(5)[/tex]:
[tex]\dfrac{f(5)-10}2=15[/tex]
[tex]f(5)-10=30[/tex]
[tex]\boxed{f(5)=40}[/tex]
Help me?? Anyone I'll vote brainliest and everything 5 stars!! :)
Answer: y - 3 = -1/5(x+5)
Step-by-step explanation:
Hope this helps
The group of points {(0, 1), (0,5), (2, 6), (3, 3)}
is not a function, but the group of points {(1, 4),
(2, 7), (3, 1), (5, 7)} is a function. What do you
notice about the two groups of points? What do
you think it means to be a function?
Answer:
each x point should be mapped to a y point
Step-by-step explanation:
a machine in a factory makes 20 gadgets every 1/4 hour. How many gadgets are made every hour?
Answer:
80 machines
Step-by-step explanation:
If a machine makes 20 gadgets every fourth (1/4) of an hour, it makes 80 machines every hour (20*4).
80 machines gadgets are made every hour.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
A factory makes 20 gadgets every 1/4 hour.
So, in an hour made = 20÷1/4 machines
=20×4
=80
i.e. If a machine makes 20 gadgets every fourth (1/4) of an hour,
it makes 80 machines every hour (20*4).
Hence, 80 machines gadgets are made every hour.
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Which term gives the horizontal length of one cycle of a periodic function?
O amplitude
O period
O frequency
O phase shift
The period of a function is the horizontal length of one complete cycle. The period may also be described as the distance from one "peak" (max) to the next "peak" (max). This sine curve, y = sin x, has a period of 2π, the horizontal length of one complete cycle.
Answer: B period
Step-by-step explanation:
EDGE 2020
3 different numbers which are all equivalent to 10
Answer:
2 4 6
Step-by-step explanation:
What are the 4 terms for f(x)=7-2x
Answer:
f, x, 7, -2
Step-by-step explanation:
Which lines are perpendicular to the line y – 1 = One-third(x+2)
Answer:
[tex]y-1=-3(x+2)[/tex]
Step-by-step explanation:
The equation of the given line:
[tex]y-1=\frac{1}{3}(x+2)[/tex]
This equation is in the form [tex]y-y_{1}=m(x-x_{1})[/tex]. Therefore, 1/3 is the slope.
To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope). Therefore, the slope of the perpendicular line is -3.
The equation of the perpendicular line: [tex]y-1=-3(x+2)[/tex]
Determine if the conclusion that follows from the given statements below is valid. If valid which law was used?
1. if a number is a natural number then it is a whole number
2. if a number is a whole number then it is an integer
Conclusion : if a number is a natural number then it is an integer
Answer:
the conclusion is not valid
Answer: The conclusion is valid by the law of syllogism
The law of syllogism follows the basic form:
If P, then Q
If Q, then R
Therefore, if P then R
We can write it like this
[tex]P \to Q \\\\Q \to R\\\\\therefore P \to R[/tex]
We can think of it like starting at town P, moving to Q, then to R. Or we could go from P directly to R if we aren't worried about the town in the middle (town Q).