Step-by-step explanation:
if you use the online graphing calculator it will help you
If two points on a line are given by (-7, -1) and (-7, 12), we would say the line equation is?
[tex] \large{ \tt{❃ \: SOLUTION}} : [/tex]
Remember : To find the equation of straight line passing through given points ( x₁ , y₁ ) and ( x₂ , y₂ ) , Use [tex] \tt{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}(x - x_{1}}) [/tex]Let the given points ( -7 , -1 ) be ( x₁ , y₁ ) & ( -7 , 12 ) be ( x₂ , y₂ ).[tex] \underline{ \large{\tt{❁ \: USING \: TWO - POINT \: FORM \: OF \: EQUATION \: OF \: LINE : }}}[/tex]
[tex] \boxed{ \large{ \tt{❈ \: y - y_{1} = \frac{y_{2} - y _{1}}{x_{2} - x_{1}} (x - x_{1})}}}[/tex]
[tex] \large{ \tt{↦y - ( - 1) = \frac{12 - ( - 1)}{ - 7 - ( - 7)} \{x - ( - 7) \}}} [/tex]
[tex] \large{ \tt{↦y + 1 = \frac{12 + 1}{ - 7 + 7}(x + 7)} }[/tex]
[tex] \large \tt \:↦ \: y + 1 = \frac{12}{0} (x + 7)[/tex]
[tex] \large{ \tt{↦ \: y + 1 = 12(x + 7)}}[/tex]
[tex] \large{ \tt{↦y + 1 = 12x + 96}}[/tex]
[tex] \large{ \tt{↦ \: 12x + 96 = y + 1}}[/tex]
[tex] \large{ \tt{↦ \: 12x - y + 96 - 1 = 0}}[/tex]
[tex] \large{ \boxed{ \tt↦12x - y + 95 = 0}}[/tex]
Hence , 12x - y + 95 = 0 is the required equation of the line.✺ STUDY HARD ! No matter if it seems impossible , no matter if it takes time , no matter if you have to wake up all night , Just remember that the feeling of success is the best thing in the entire world. ♪
۵Hope I helped ! ツ
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What is the period of the graph of y
5cos(4x + 1) + 3?
Answer:
period=(2π-1)/4
Step-by-step explanation:
4x+1=2π
4x=2π-1
x=(2π-1)/4
Answer:
Period is [tex]\frac{\pi}{2}[/tex]
Step-by-step explanation:
For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].
Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].
What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.
the value of x which makes 2/3(1/4x-2)=1/5(4/3x-1)
PLEASE ANSWER ASAP 45 POINTS !!!
Answer:
x= -34/3
Step-by-step explanation:
just solve by multiplying both sides by 15, then distribute 10 and 3 through the parenthesis, multiply both sides by 2, move the variable to the left side and change the sign, move the constant and change the sign, combine like terms, calculate the sum, and finally divide both sides by -3
What is the value of x? Round the answer to the nearest tenth
Answer:
The answer is A.
Step-by-step explanation:
The answer is A because an obtuse angle rounds to 120 degrees, then you divide it by 6 which is A.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=58
Step-by-step explanation:
Answer:
x=26 degree
Step-by-step explanation:
x+106+48 =180 degree (sum of interior angles of a triangle is 180 degree)
x+154=180
x=180-154
x=26 degree
therefore the value of x is 26 degree.
What is the experimental probability of popping a polka dot balloon? Express your answer as a fraction,decimal, and percent
Answer:
Experimental probability [popping a polka dot balloon] = 1 / 8
Step-by-step explanation:
Missing information;
Number of striped balloons = 17
Number of solid balloons = 18
Number of polka dot balloons = 5
F ind:
Experimental probability [popping a polka dot balloon]
Computation:
Experimental probability [popping a polka dot balloon] = Number of polka dot balloons / Total number of balloons
Experimental probability [popping a polka dot balloon] = 5 / [17 + 18 + 5]
Experimental probability [popping a polka dot balloon] = 5 / 40
Experimental probability [popping a polka dot balloon] = 1 / 8
The (blank) of a power is the common factor. 1. Exponent 2. Square root 3. Power 4. Scientific notation 5. Marginal frequency 6. Base
Answer:
6. Base
Step-by-step explanation:
In Mathematics, a power involves the multiplication of factors repeatedly. Thus, it's simply a multiplication (product) of repeated factors.
The base of a power is the common factor. When working with a power, the base is the number that is the common factor.
For example;
10⁴ = 10 * 10 * 10 * 10
Therefore, the base in the above expression is 10.
Additionally, the exponent is 4 and it represents the number of times the base "10" was used as a factor.
Which of the following is an arithmetic sequence with a common difference of +3?
A) 17, 14, 11, 8, ...
B) 1, 3, 9, 12, ...
C) 4, 7, 10, 13, ...
D) 12, 15, 19, 24, ...
What is the solution to the inequality |X-4 <3?
Answer:
x<7
therefore {x:x<7}
Step-by-step explanation:
x-4<3
x<3+4
x<7
A certain type of bacteria is growing at an exponential rate that is modeled by the equation y=aekt, where t represents the number of hours. There are 100 bacteria initially, and 500 bacteria five hours later.
Answer:
meow meow
Step-by-step explanation:
100 POINT PLEASE HELP QUICK!!!!
Answer:
[tex]adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} [/tex]
[tex] \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} [/tex]
Base
√50²-14²√2500-196√48²48Now
sinQ=P/H=14/50cosQ=B/H=48/50tanQ=P/B=14/48cotQ=B/P=48/14secQ=H/B=50/48cosecQ=H/P=50/14Check 2. The circumference of a circle is C centimeters. The diameter of the circle is 6 centimeters. Write an expression that represents the value of n.
Answer:
radius of circle = 3cm
circumference = 18.84cm
diameter = 6cm
Step-by-step explanation:
if the diameter of circle is 6cm
radius of circle = diameter/2
= 6/2
= 3
circumference of circle = 2[tex]\pi[/tex]r
= 2 x 3.14 x 3
= 6.28 x 3
= 18.84
Mark me as braniestAn airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles. To the nearest tenth of a degree, what was the angle of elevation?
Answer:
11.5 degrees
Step-by-step explanation:
For future reference trianglecalculator.net is very helpful
The angle of elevation to the nearest tenth of a degree is 11.54°.
What is an angle of elevation?An angle of elevation is defined as the angle between the slant horizontal line of an eye and the object in relation to the baseline called the adjacent.
In trigonometry, the angle of elevation can be determined by using the sine rule.
[tex]\mathbf{sin \ \theta = \dfrac{opp}{hyp} }[/tex]
[tex]\mathbf{sin \ \theta = \dfrac{5}{25} }[/tex]
[tex]\mathbf{ \theta =sin^{-1} (0.2)}[/tex]
[tex]\mathbf{ \theta =11.54^0}[/tex]
Learn more about the angle of elevation here:
https://brainly.com/question/88158
Find (4.0×105)÷(5.89×102) by using a calculator. Give your answer in scientific notation and round to two decimal places.
Answer: [tex]7\times 10^{-1}[/tex]
Step-by-step explanation:
Given
[tex](4.0\times 105)\div (5.89\times 102)[/tex]
First solve the brackets part in calculator, we obtain
[tex]\Rightarrow 420\div 600.78\\\\\Rightarrow \dfrac{420}{600.78}=0.69909\approx 0.70\\\\\Rightarrow 7\times 10^{-1}[/tex]
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
77 - 2n
Step-by-step explanation:
77 is being subtracted by a number doubled. Therefore, 77 - 2n is the expression.
Nicholas graphed a triangle with vertices of (2, 4), (2, 0) and (5, 0). His classmate, Suzi, graphed a similar
triangle with a perimeter of 36 units. What was the area of Suzi's triangle? Show all work to support your
answer.
An
Step-by-step explanation:
At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
Answer:
V = 288π units³
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³.
With r = 6 units, the volume of this sphere is V = (4/3)π(6 units)³, or
V = (4π/3)(216 units³), or V = 288π units³
What scale factor is shown by this graph?
4
1/2
2
1
Answer:
If it's AL to A'L' then its 1/2
If it's A'L' to AL then its 2
HELPpppp
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.
What is the approximate probability that exactly three of the cards are diamonds???
Answer:
0.25 is the probability
Step-by-step explanation:
If there are 13 diamonds in a deck of 52 cards, dividing 13 by 52 will get you 0.25. This is the probability of getting a diamond from the deck of 52 cards.
what do you think the soultion is to the queation. I need help???
Answer:
w = 16, x = 11, y = 6, z = 7.5
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Then by proportion
[tex]\frac{12}{w}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )
3w = 48 ( divide both sides by 3 )
w = 16
----------------
[tex]\frac{x}{12}[/tex] = [tex]\frac{3}{4}[/tex]
4x = 36
x = 9
-------------------
[tex]\frac{4.5}{y}[/tex] = [tex]\frac{3}{4}[/tex]
3y = 18
y = 6
----------------------------
[tex]\frac{z}{10}[/tex] = [tex]\frac{3}{4}[/tex]
4z = 30
z = 7.5
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
O A. y=3x+4
OB. y= 3x - 14
O cy=3x-4
OD. y= 3x+12
Answer:
y = 3x + 4
Step-by-step explanation:
Given:
Coordinates
(-3 , -5)
Slope m = 3
Find;
Equation of slope
Computation:
Given, x1 = -3 and y1 = -5
Equation of slope = y - y1 = m(x - x1)
Equation of slope = y - (-5) = 3(x + 3)
Equation of slope = y + 5 = 3x + 9
Equation of slope = y = 3x + 9 - 5
Equation of slope = y = 3x + 4
y = 3x + 4
Finding the volume of the cone
Answer:
[tex]\frac{686\pi }{3}[/tex] or 718.3775
Step-by-step explanation:
Formula:
[tex]\pi r^2\frac{h}{3}[/tex]
we have
[tex]\pi *7^2*\frac{14}{3}= \frac{686\pi }{3}[/tex]
PLEASE HELP!!!!
If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played? Write and solve a system of equations .
Answer:
2 in a half 6 player games and 6 and half 2 player games. hope this helps
Step-by-step explanation:
There were 7 two-player games and 6 six-player games played
What are system of equation?
A collection of two or more equations that share the same variables is known as a system of equations. The values of the variables that make all of the equations in a system of equations true are the solution to the system of equations. A point of intersection on the graphs of the equations of a system is known as the solution. A system of equations' solution set is the collection of all possible answers.
Solution:
Given:
Total games = 13
Athletes participated = 50
let x denote the number of 2-player games played and
y denotes the number of 6-player games played
Hence the equations we get are:
x ₊ y = 13 ........eq(1)
2x ₊ 6y = 50 this can be further reduced as
x ₊ 3y = 25 ......eq(2)
Now, solving both the equations using elimination method then we get :
₋2y = ₋12
y = 6
Here we can notice that x is eliminated.
Now substitute y value in eq(1) then we get x as 7.
Hence total 13 games were played out of which 7 two-player and 6 six-palyer games were played.
Learn more about "System of equations" here-
brainly.com/question/2226590
#SPJ2
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
17m-7
Step-by-step explanation:
product means multiplication so we multiply 17 times m.
17m
and 7 less than 17m is subtraction
17m-7
Answer:
17m-7
Step-by-step explanation:
m = The height
7 less than the product ( Multiply) 17 and m.
so 17m-7
Which of the following is an arithmetic sequence?
O A. 5, -5, 5, -5, ...
O B. 3, 0, -3, -6, ...
O C. 2, 3, 7, 1, ..
O D. 2, 4, 16, 32, ...
Answer:
B
Step-by-step explanation:
In an artihmetic sequence, there is a constant difference between two consecutive terms.
So for instance:
[tex]-6 -(-3) = -3[/tex]
[tex]-3 -0 = -3[/tex]
[tex]0 - 3 = -3[/tex]
As you can see there is a difference of [tex]-3[/tex] from one term to the next
____________________________
You can also find the constant difference the other way around, for instance
[tex]3-0=3[/tex]
[tex]0-(-3) = 3[/tex]
[tex]-3-(-6) = 3[/tex]
In this example, you can see that each term is [tex]3[/tex] higher than the previous term
I hope this helps!!
need help with this Q&A 4
Answer:
y=4x + 3/4
Step-by-step explanation:
Please I need help with this math homework ASAP thank you!
Answer:
4
[tex] \sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4[/tex]
What is the range of this set of data?
Answer: B) [tex]0 \le y \le 100[/tex]
====================================================
Explanation:
The range is the set of possible y outputs. Visually, we look for the highest and lowest points to determine that range of y values. The lowest point occurs when y = 0, which is the left-most point of the graph. The highest point is when y = 100 where the peak is.
So we say that y is between 0 and 100, including both endpoints to lead to the inequality [tex]0 \le y \le 100[/tex]
The range in interval notation is [0, 100]. The square brackets say to include the endpoints.
------------
Side note: The domain appears to be [tex]2.5 \le x \le 9.5[/tex] since the left-most point seems to have the x coordinate x = 2.5 and the right-most point seems to have the x coordinate x = 9.5. The domain is the set of all possible x inputs. So if your teacher was asking about the domain, then the answer would be C.
Need LOTS of help, I suck at math!
How much total money will Kiara have to pay back at the end of the 9 years?
Answer:
a= $29,505. it. is useful answer
