The point (-6, 4) lies on a straight line that has a gradient of -2. What is the
equation of this line?
Given:
Point on straight line = (-6,4)
Gradient = -2
To find:
The equation of the line.
Solution:
Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (-6,4) with slope -2. So, the equation of the line is:
[tex]y-4=-2(x-(-6))[/tex]
[tex]y-4=-2(x+6)[/tex]
[tex]y-4=-2x-12[/tex]
Adding 4 on both sides, we get
[tex]y-4+4=-2x-12+4[/tex]
[tex]y=-2x-8[/tex]
Therefore, the equation of the line is [tex]y=-2x-8[/tex].
t/3 = 11 solve equation and check souloution what is t
Answer: t=33
Step-by-step explanation:
Answer:
t = 33
Step-by-step explanation:
t/3 = 11
t = 11 × 3
t = 33
Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?
Answer: answer is $33.60
Step-by-step explanation:
The diameter of a cone is 4 centimeters and has a height of 6 centimeters. How much
greater is the volume of a cylinder that has the same diameter and same height?
Help Please I am really confused whoever helps gets Brainliest (if its correct)
Answer:
hi :)
910
use a percantage calculator, i looked it up and 182 percent of 500 would be 910
Step-by-step explanation:
what is the formula for slope? ALL i need is the formula and if u cant give it to me than dont answer it.
Answer:
The formula for a slope is y2-y1 / x2-x1
is this a function?
Answer:
NO
Step-by-step explanation:
Ron earned $ 840 in a week . How much will he earn in 36 days
Answer:
about 4200
Step-by-step explanation:
in order to solve this, you have to understand that there are 4 weeks within a month, which would give you the answer of 3360 and 36 days is approximately 5 weeks, therefore just add one more week to the total of 3360+ 840 = 4200
finish the lyrics
a potoao flew
Around my room before you came.
Answer: around my room before you came
Step-by-step explanation:
Help please I don’t know it
Answer:
Step-by-step explanation:
sinC = 12/13
cosA = 12/13
r(x)=−x−7 when x=−2,0, and 5
Answer:
r(0) = -7
r(2) = -5
r(5) = -12
Step-by-step explanation:
PLEASE HELP ME ASAP!!!!!
Can you use this pattern to find 111111111*11111111 without a calculator? Please Explain
Answer:
Can you show me the pattern?
-24 = x - ( - 2
need help please
Answer:
okay here is the answer but no work shown
x= -16
Find the shaded area .
Answer:
152cm^2
Step-by-step explanation:
Find area of whole rectangle = 12 * 18 = 216cm^2
Find area of smaller square = 8 * 8 = 64cm^2
Take away the larger area from the smaller area = 216 - 64 = 152cm^2
(^2 indicates cm squared)
Hope this helps :)
Answer:
Area of the given figure is 152 sq.cm
Step-by-step explanation:
area of given figure (A)
= area of rectangle - area of minor square
=》A = (12 × 18) - (8 × 8)
=》A = 216 - 64
=》A = 152 sq.cm
Which absolute value expression represents the distance between 3 and
9 /2
on a number line?
A) |3 −
9
2
|
B) |3 − (−
9
2
)|
C) |−3 + (−
9
2
)|
D) |−3 −
9
2
)|
find the area of the minor sector
1 r=9cm,tita=70
Answer:
The area is 49.5 cm^2
Step-by-step explanation:
To find the area of the sector, we are going to use the formula for the area of a sector
Mathematically, we have this as;
A = theta/360 * pi * r^2
r = 9 cm and theta = 70
Substituting these values
A = 70/360 * 3.142 * 9^2
A = 49.5 cm^2
four swimmers each completed 25 yards of a 100 yard relay in the order that they swam, the swimmers times are given below.
First swimmer in the relay: 13 sec
Seconed swimmer in the relay: 14.273 sec
Third swimmer in the relay: 16.04 sec
Fourth swimmer in the relay: 11.802 sec
Which statment is true
A. The differance between the slowest and the fastest 25-yard times was 5.842.
B. The teams total 100-yard relay time was 55.079 sec.
C. The last two swimmers took a total of 27.842
D. The second swimmer was 2.127 sec fasterbthen the third swimmer
Answer:
C.
Step-by-step explanation:
A. The difference between the slowest and fastest is 4.238 secs
B. The team total is 55.115 secs
C. The last two swimmers took a total of 27.842 (correct)
D. The second swimmer was faster than the third by 1.767 secs
Which equation below would be perpendicular to the line y = 2?
What is the coefficient in the variable term 7x?
Answer:
7
Step-by-step explanation:
the coefficient is the number that is multiplied by x which in the case of 7x is 7
Hope that helps :)
If you were to rotate ABCD 180degrees about the origin, what would the coordinate of A' be?
Answer:
5,5
Step-by-step explanation:
A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again?
A fan has 5 equally spaced blades.
A. 120°
B. 60°
C. 90°
D. 72°
i need help will mark brainliest
Answer:
16.5
Step-by-step explanation:
a^2 + b^2 = c^2
15h - 4 = 6
Two step problem
Answer:
h = 10/15
Step-by-step explanation:
Isolate the variable, h. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 4 to both sides of the equation:
15h - 4 (+4) = 6 (+4)
15h = 6 + 4
15h = 10
Next, divide 15 from both sides of the equation:
(15h)/15 = (10)/15
h = 10/15 or 0.667 (rounded)
1.02 quiz sinusoidal graphs
The characteristics of the sinusoidal function can be found from the given
graph of the function.
Correct Response;The minimum of the sinusoidal function is 1Method used to arrive at the above response;The sinusoidal function is the sine function that has the following general equation;
y = a·sin(b·(x - h)) + ka = The amplitude
b = Angular frequency
h = The horizontal shift
k = The vertical shift
Required:The minimum value of the sinusoidal function.
Solution;From the given graph, we have;
The amplitude, a = 2
The period, T = 10 = 2·π/b
b = π/5
The vertical shift, k = 3
The horizontal shift = 0
The minimum value of the function = k - a
Therefore;
The minimum value of the function is; 3 - 2 = 1Learn more about sinusoidal functions here:
https://brainly.com/question/6666829
Answer:
[tex]\displaystyle 1[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle \boxed{y = 2sin\:\frac{\pi}{5}x + 3} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:\frac{\pi}{5}x + 3,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 2\frac{1}{2}\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 2\frac{1}{2}\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\frac{1}{2}} = \frac{\frac{\pi}{2}}{\frac{\pi}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph approximately hits [tex]\displaystyle [-10, 3],[/tex]from there to the y-intercept of [tex]\displaystyle [0, 3],[/tex]they are obviously approximately [tex]\displaystyle 10\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 10.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
**Now, the minimum value is the lowest possible value the graph touches, and in this case, the graph's lowest peaks cycle around [tex]\displaystyle y = 1,[/tex]therefore the minimum of his sinusoidal function is [tex]\displaystyle 1.[/tex]
I am delighted to assist you at any time.
Which of the following is an equation of the line whose graph is shown in the coordinate plane below?
Is 12/20 greater than 1
no, this is false. 1 is greater than 12/20.
Answer:
No. Its not cause 20/20 is what makes ita whole 1 so if ita 12 than its not equal to 1
Find the unit rate. Explain how you got your answer.
$1.00 for 6 lemons
1:6
i got my answer for using ratios
name the quadrilateral
Answer:
Step-by-step explanation:
Quadrilaterals
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
ANSWER QUICKLY FOR 15 POINTS!! :,)
Mrs. Gregory’s class is building a model of a farm. They will use a cylindrical oatmeal container to make a portion of the barn. The container is 8 inches tall and has a radius of 2.5 inches.
What is the total surface area of the oatmeal container to the nearest tenth of a square inch?
164.9 square inches
157.1 square inches
39.3 square inches
125.7 square inches
Answer:
125.7 square inches long
The difference of a number and 4/ 3 is 11/3. what is the number
Answer:
5
Step-by-step explanation:
15/3 - 4/3 = 11/3
15/3 = 5
The difference of a number 5 and 4/ 3 is 11/3.
What is subtraction of fractions?Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
Given that, the difference of a number and 4/ 3 is 11/3.
Let the unknown number be x.
Here, x-4/3 =11/3
x= 11/3+4/3 (Transpose 4/3 to RHS of the equation)
To add like fractions, add the numerators and keep the denominator same. That is
x= 15/3
x=5
Therefore, the unknown number is 5.
To learn more about the subtraction of fractions visit:
https://brainly.com/question/5220474.
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