Answer:
x-intercept = 3.5y-intercept = 21Step-by-step explanation:
x-intercept is for y = 0
y-intercept is for x = 0
Substitute
For y = 0
-6x + 21 = 0 |subtract 21 from both sides
-6x = -21 |divdie both sides by (-6)
x = -21/(-6)
x = 21/6
x = 3.5
For x = 0
y = -6(0) + 21
y = 0 + 21
y = 21
(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.
Learn more about Vertical angle here:
https://brainly.com/question/24460838
#SPJ2
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! :)
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]
At 6th grade camp there are 6 boys for every 5 girls. There are a total of 176 kids at camp. Daniel is trying to use a tape diagram to figure out how many boys will be at camp. If there are a total of 176 kids at 6th grade camp, how many boys will be at camp?
pls help i am in a hurry
Answer:
9d2nxdc
Step-by-step explanation:
??????????
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
Find two consecutive whole numbers that 63 lies between.
Answer:
They are 62 and 64.
the area of this figure is? sq meters
Answer:
The figure was not included in your question?
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
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
(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
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).
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
(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
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
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..)
The length of a new rectangular playing field 4 yards longer than double the width. If the perimeter of the rectangular playing field is 344 yards, what are it’s dimensions?
Answer:
Hi There!
Your answer is:
Length = 116
Width = 56
Step-by-step explanation:
L= 4+ 2w
Width=w
perimeter formula
l+l+w+w= perimeter
Subsitute L for 4+2w
(4+2w)+(4+2w) + (w) + (w) = 344
8 +4w+w+w = 344
8+ 6w = 344
-8
6w = 336
/6
w= 56
PLUG BACK IN!
Length = 4+ 2w
Length = 4+ 2(56)
Length = 116
Width = 56
CHECK YOUR WORK
116+116+56+56= 344???
344 = 344 YES
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:
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
3.) Find the domain and range for each of the following functions.
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
Determine x:
X
2
47°
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.
Learn more,
https://brainly.com/question/11607107
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).
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:
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 :)
What are the 4 terms for f(x)=7-2x
Answer:
f, x, 7, -2
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.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
The grap
The graph below represents the distance Manuel walks over several hours.
Which is an ordered pair on the line?
(2.5, 14)
(2.5, 14)
(1.25, 5)
(1.25, 5)
(2.25, 12)
(2.25, 12)
(1.5, 9)
Answer:
The answer is 1.5, 9
Step-by-step explanation:
If you can see the graph the speed increases
The ordered pair on the line (1.5, 9). The correct answer would be an option (D).
What is an ordered pair?An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.
The graph below represents the distance Manuel walks over several hours.
The first and second options are not accurate since the distance is measured in miles up to 10 miles, hence the options can't be correct
The correct answer is option D since the value at t = 1.5 is equal to 9 miles
Thus, the ordered pair is on the line (1.5, 9).
Hence, the correct answer is an option (D)
Learn more about the set of ordered pairs here:
https://brainly.com/question/10197233
#SPJ2
The question seems to be incomplete the missing figure has been attached below.
Which expression is equivalent to -51 - (-60)?
Answer:
The answer is 9.
Step-by-step explanation:
I had the question on one of my quizzes.
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°