Answer:
The equation of the line is y = 2x + 2
Step-by-step explanation:
Given:The two points are (3, 4) and (5, 8)To find:- Equation of a linear line Solution:-
Equation of a linear line can be placed in the format:
y = mx + cFormula for finding the slope(m):
[tex] \sf{}m = \frac{x- x_1}{y - y_1} = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ \sf{}m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex] \sf{}m = \frac{8 - 4}{5 - 3} = \cancel \frac{4}{2} = 2[/tex]
Form the intermediate equation:
y = mx + c
[tex] \mathtt{y = 2x + c}[/tex]
Find the y-intercept:
Substitute (3,4) into the equation
[tex] : \longrightarrow \: \mathtt{y = 2x + c} \\ \\ : \longrightarrow \:\mathtt{4 = 2(3) + c} \\ \\ : \longrightarrow \: \mathtt{4 = 6 + c} \\ \\ : \longrightarrow \: \mathtt{c = 6 - 4} \\ \\ : \longrightarrow \: \mathtt{c = 2}[/tex]
Form the equation:
[tex]: \longrightarrow \: \mathtt{y = 2x + c} \: \\ \\ \mathtt{putting \: values \: of \: c} \\ \\ : \longrightarrow \: \mathtt{y = 2x + 2}[/tex]
The equation of the line is [tex]\underline\mathfrak\red{{{y = 2x + 2}}}[/tex]
what are irrational numbers? give examples.
Answer:
set of numbers that cannot be represented in form of a/b
examples square root of 2, 3, 5 and 6
HELP ASAP
(will give brainliest)!
Answer:
42°
Step-by-step explanation:
∠NML = ∠ZYX =88°
Angles in a triangle add up to 180 so ∠ZXY =
180 - (50+88)
180-138
42
∠ZXY = 42°
Choose the correct simplification of the expression f4 • f8. f2 f4 f12 f32
Answer:
f^12
Step-by-step explanation:
f^4 * f^8
We that a^b * a^c = a^(b+c)
f^(4+8)
f^12
Hello!
We have the following expression:
[tex]\bf{f^4*f^8}[/tex]
Recall the Properties of Exponents:
[tex]\bold{a^ma^n=a^{m+n}}[/tex]
According to the property, if we have the same bases multiplied together, then we just add their exponents:
[tex]\bf{f^4f^8=f^{4+8}}[/tex]
Simplify:
[tex]\bf{f^{12}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
[tex]\rule{2}{2}[/tex]Knowledge is Power!
How can you decompose the composite figure to determine its area? as two semicircles and a rectangle as two circles and a rectangle as a circle and a square as two semicircles and a trapezoid.
The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.
What is an area?Area is the amount of space occupied by a two dimensional shape or object.
The area of a composite figure can be decomposed to smaller figures so as to find the area.
The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.
Find out more on area at: https://brainly.com/question/25292087
Answer:
A. as two semicircles and a rectangle
Step-by-step explanation:
i did it
Sketch the graph of the function y=3 sin(2x)-1
Function: y = 3sin(2x) - 1
Find y-intercept:
y = 3sin(2x) - 1y = 3sin(2(0)) - 1y = -1Formula for minimum: m = A ‐ |B|
Minimum:
-1 - |3|-4=========
When y = -4
3sin(2x) - 1 = -43sin(2x) = -3sin(2x) = -12x = sin⁻¹(-1)2x =-450°, -90°, 270°, 630°x = -225°, -45°, 135°, 315°Formula for maximum: M = A + |B|
Maximum:
-1 + |3|2=========
When y = 2
3sin(2x) - 1 = 2sin(2x) = 12x = sin⁻¹(1)2x = -630°, -270°, 90°, 450°x = -315°, -135°, 45°, 225°Now we can plot the graph for the equation in range of -360° < x < 360°
For more graphing problems: brainly.com/question/27117441
Answer:
[tex]y=A\sin(B(x+C))+D[/tex]
Amplitude = A
The height from the center line to the peak (or trough).
Period = (2π)/B
The horizontal distance from one peak to the next.
Phase shift = C
How far the function is shifted horizontally from its usual position.
(positive is to the left, negative is to the right).
Vertical shift = D
How far the function is shifted vertically from its usual position.
Parent function:
[tex]y=\sin(x)[/tex]
Therefore:
Amplitude = 1Period = 2πPhase shift = noneVertical shift = noneGiven function:
[tex]y=3\sin(2x)-1[/tex]
[tex]y=3\sin(2(x+0))-1[/tex]
Therefore:
Amplitude = 3Period = πPhase shift = noneVertical shift = -1**See attached images for how the parent function is transformed to the final function**
A swimmer speeds up 1.9 m/s to 3.8 m/s during the last 11.0 seconds of the race. What is the acceleration of the swimmer?
Initial speed (v) = 1.9m/s
Final speed (u) = 3.8m/s
Time (t) = 11 s
Formula Used :-[tex]v = u + a×t [/tex](a = acceleration)
➾ [tex]a = {\frac{u-v}{t}}[/tex]
Solution:-[tex]a = {\frac{u-v}{t}}[/tex] (putting the value of v, u and t from above)
➾ [tex]a = {\frac{3.8-1.9}{11}}[/tex]
➾ [tex]a = {\frac{1.9}{11}}[/tex]
➾ [tex]a = 0.17 m/s (approx.)[/tex]
Therefore, the acceleration rate = 0.17m/s.
How can you best describe a stop sign using polygons? The sign has sides, so it is. It appears to be because the sides and angles appear to be congruent.
The stop sign is an octagon or regular polygon.
It is given that a stop sign has 8 sides.
It is required to describe the sign using a polygon.
What is a polygon?It is defined as the flat planner geometry in two dimensions with a closed shape there are two types of polygon one is irregular in which the angle and sides are not equal and the second one is a regular polygon in which sides and angles are equal called regular polygon.
We have a stop sign that has 8 sides.
As we know the definition of a polygon they are planner geometry and in a regular polygon, the sides and angles are equal called regular polygon.
The stop sign has 8 if we assume they are all equal sides and angles then we can say that the stop sign is an octagon(in which the number of sides is 8) or a regular polygon.
Thus, the stop sign is an octagon or regular polygon.
Learn more about the polygon here:
https://brainly.com/question/17756657
Answer:
8, octagon, & regular
Step-by-step explanation:
I did it
x=? degrees
WHAT IS THE ANSWER
PLS HELP ME 50 POINTS AND I WILL MARK THE BRAINLIEST
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
(-3,8)
step by step explanation:
y=-4/3 +4
x=-3
put in x value in first Problem
y=-4/3(-3) +4
solve
y= 12/3+4
y=4+4
y=8
we already know what x is so
x= -3, y=8
(-3,8)
hope this helps
Complete the steps to solve the equation -18x - 17 = 107 write the original equation apply the addition property of equality
[tex]-\frac{62}{9}[/tex]
Step-by-step explanation:The properties of equality state that you are allowed to perform operations on an equation as long as the operations are done equally on both sides.
Solving the Equation
First, rewrite the equation
[tex]-18x - 17 = 107[/tex]Next, apply the addition property of equality and add 17 to both sides
[tex]-18x=124[/tex]Finally, apply the division property of equality and divide both sides by -18
[tex]x=\frac{124}{-18}[/tex]Then, simplify for the final answer (divide numerator and denominator by 2)
[tex]x=-\frac{62}{9}[/tex]Complete the description of what happens to a figure when the given sequence of transformations is applied to it: (x, y) + (-x,y); (x,y) → (0.4x, 0.4y);(x, y) + (x - 8, y + 8).
Reflection over the (x-axis/origin/y-axis); (transformation/translation/dilation/movement upwards) with a scale factor of 0.4; translation 8 units left and ___ units up.
Answer:
reflection over the y-axis; dilation with a scale factor of 0.4; translation 8 units left and 8 units upStep-by-step explanation:
ReflectionThe first transformation changes the sign of the x-coordinate. That means a point that was some number of units (3, for example) right of the y-axis will be transformed to a point 3 untis left of the y-axis. It is reflected across the y-axis.
__
DilationThe second transformation multiplies each coordinate value by 0.4. A point that was some number of units (3, for example) away from the origin, will be transformed to a point 3×0.4 = 1.2 units from the origin. It is dilated by a factor of 0.4.
__
TranslationThe third transformation subtracts 8 from the x-coordinate and adds 8 to the y-coordinate. The x-coordinate is a measure of the distance to the right of the y-axis, so subtracting 8 from the x-coordinate means the point is 8 fewer units to the right of the y-axis. It is translated left 8 units.
Similarly, the y-coordinate is a measure of the distance up from the x-axis. Adding 8 to the y-coordinate will move the point 8 more units up from the x-axis. It is translated up 8 units.
Petra and jonhah are going on holiday to Poole
Petra buys 3 new shirts for her holiday
each shirt cost 9pound
how much does Petra pays in total
another one
Petra and Jonah has this information
home to the train station. 12 minutes
train to Poole 47 minutes
jonah says it will take less that 60 minutes in total to go from home to Poole.
Answer:
question one
one shirt cost=9pound
3 shirts=3*9=27pound
Fill in the missing pieces to solve for x:
Answer:
A: (x-4) squared
B: x+2
C: 9
D: 14
E: 7
F: 2
Step-by-step explanation:
A: This is because x^2 - 8x + 16 factored is (x-4) squared
B: Square root of something squared will remove the square root
C: Minus the variable x and 2 from the right side
D: Factor
E/F: These numbers make the right side become zero
In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=36 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
2x + 3y = 15
x + y = 6
work out x and y
Answer:
x=3
y=3
Step-by-step explanation
Here we have been given with two equations and we will solve them by substitution by elimination method.
2x + 3y = 15 (Equation No 1)x + y = 6 (Equation No 2)Transposing y in 1st equation from L.H.S. to R.H.S. it would be negative,
[tex] \implies \: \displaystyle\sf{x \: = \: 6 - y}[/tex]
Now, we would substitute this value of x in Equation No 1.
[tex] \implies \: \displaystyle\sf{2 \: (6 - y) \: = \:15 }[/tex]
[tex] \implies \: \displaystyle\sf{2 \: \times (6 - y) \: = \:15 }[/tex]
[tex]\implies \: \displaystyle\sf{12 - 2y \: = \:15 }[/tex]
Transposing 12 to R.H.S.,
[tex] \implies \: \displaystyle\sf{ - 2y \: = \:15 - 12 }[/tex]
[tex]\implies \: \displaystyle\sf{ - 2y \: = \:3}[/tex]
[tex]\implies \: \displaystyle\bf{ y \: = \: - \dfrac{3}{2} }[/tex]
Therefore, value of y is - 3/2.
★ Finding out value of x:-
[tex] \implies \: \displaystyle\sf{x \: = \: 6 - y }[/tex]
[tex]\implies \: \displaystyle\sf{x \: = \: 6 - ( \dfrac{ - 3}{ 2} )}[/tex]
[tex]\implies \: \displaystyle\sf{x \: = \: \frac{12 + 3}{2} }[/tex]
[tex]\implies \: \displaystyle\bf{x \: = \: \frac{15}{2} }[/tex]
Henceforth,
Value of x is 15/2.A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in the box. express your answer using π . m
The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.
What is the Length of an Arc?The length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}[/tex]
where
θ is the angle, which arc creates at the centre of the circle in degree.
The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as
[tex]\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}[/tex]
[tex]= 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m[/tex]
Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.
Learn more about Lenght of the Arc:
https://brainly.com/question/1577784
Is the quadratic equation y
= 5x² - 6x + 1 in standard form
or in vertex form? What is the vertex?
Answer:
In geometry, a vertex form is a point where two or more curves, lines, or edges meet.
Step-by-step explanation:
this equation is stander form
help pls
ty in advance
[tex]\bold{\huge{\underline{ Solution\: 2 }}}[/tex]
The name of the circle is IJKLThe name of central Angle[tex]\sf{\underline{= {\angle} IHJ }}[/tex]The name of the secant = KL[tex]{\bigstar}[/tex]Circle :- It is a round figures, which has no end points.
[tex]{\bigstar}[/tex] Central angle :- It the angle ,which lie in the middle of the circle.
Here, H is the mid point of the circle .So, Angle IHJ is the central angle.[tex]{\bigstar}[/tex] Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .
Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.[tex]\bold{\huge{\underline{ Solution\: 3 }}}[/tex]
Semicircle = FGH and FIH Minor Arc :- FG or GH Major Arc :- FHG or GFH[tex]{\bigstar}[/tex] Semicircle :- Semicircle is nothing but the half of the circle.
Here, In second diagram
FGH and FIH are acting as two semicircles which simulatineously forming one circle.[tex]{\bigstar}[/tex] Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.
Here,
FG or GH are the minor arc of the given circle.[tex]{\bigstar}[/tex] Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.
Here,
FHG or GFH is the major arc as it is larger than the semicircle of the given circle .What is the resulting equation when the expression for y in the second equation is substituted into the first equation?
3x + y = 1
y=6 - 4x
Ox+6y=1
Ox+6=1
Ox -X + 6 = 1
7X+6=1
Hello!
Let's solve this question with the information given to us in the question.
We were given two equations:
3x + y = 1
y = 6 - 4x
The question asks us to plug in our 2nd equation into the "y" variable of the first equation.
Plug in and solve:
3x + y = 1
Substitute "6 - 4x" for y
3x + 6 - 4x = 1
Simplify
-x + 6 = 1
Therefore, your answer would be the -x + 6 = 1 choice in your answer box.
Answer: -x + 6 = 1
What are the two conditions that an asset of a business needs to fulfill?
Answer:
✒️Answer:Two conditions must be satisfied. First, the revenue must be earned, which typically means that the customer has received the good or service. Second, the revenue must have been realized or realizable, implying that the customer has paid or is expected to pay for the merchandise.
Step-by-step explanation:
#CarryOnLearning[tex]watch.some.anime[/tex]
8. Harper, Elie, and Raina are having a skateboard race. Harper began at the starting line and rode at a
constant rate of 3 feet per second. Elie got a five-foot head start and rode two feet every 3 seconds. Raina
rode 3 feet every five seconds and had a two-foot head start.
Answer:
Step-by-step explanation:
Please help! I am confused.
Answer:
z = 180°
Step-by-step explanation:
First, find the sum of the interior angles b using the following formula. S is sum and n is the number of sides.
S = (n-2)180
S = (6 - 2)180
S = (4)180
S = 720°
Next, make an equation adding all the interior angles and setting them equal to 720.
t + t + 2t + t + t + 2t = 720
8t = 720
8t/8 = 720/8
t = 90°
Finally, find the measure of angle z by substituting 90° for t.
z = 2t
z = 2(90)
z = 180°
Use PEMDAS to evaluate the expression 18 − 35 ÷ 5 + 4 x 8. ANSWERS: 37 40 43 46
PLSSS HELP IT WOULD MEAN A LOT TO ME
Answer:
43
Step-by-step explanation:
first we do 35/5=7 then 18-7=11. then 4*8=32. 32+11=43
Answer:
C. 43
Step-by-step explanation:
1. 35 ÷ 5 = 7
2. 4 x 8 = 32
3. 18 - 7 = 11
4. 11 + 32 = 43
Therefore the answer, is C. 43.
You're welcome! :)
y=- 8x - 20
How do I graph this
Answer: Here, this should help ya out :
With graphing lines and slopes use desmos graphing calulator dont worry, its safe ;)
Answer:
See below ↓
Step-by-step explanation:
Step 1 : Mark the y-intercept.
b = -20Therefore, the y-intercept's coordinates are : (0, b)⇒ (0, -20)Step 2 : Draw the slope.
m = -8Therefore after marking the y-intercept you can either mark a point 8 spaces up, 1 to the left or mark a point 8 spaces down, 1 to the rightAfter doing this, join the two points using a ruler and draw a line Your graph is ready!It should look like this :Clinton has a spinner labeled orange, blue, green and pink. He spins the spinner 100 times. He gets orange 33 times. What the experimental probability of him getting an orange? in fraction form
Explanation:
Divide the number of times orange shows up (33) over the number of total spins (100). Reduce the fraction if possible. In this case, 33/100 is fully reduced because 33 and 100 have no common factors other than 1.
what is (5.03x -8.03) - (3.5x +6.2)?
Answer:
1.53x−14.23
Step-by-step explanation:
simplify:
5.03x−8.03−(3.5x+6.2)
Distribute the Negative Sign:
=5.03x−8.03−1(3.5x+6.2)
=5.03x−8.03−1(3.5x)+(−1)(6.2)
=5.03x−8.03−3.5x−6.2
Combine Like Terms:
=5.03x−8.03+−3.5x−6.2
=(5.03x−3.5x)+(−8.03−6.2)
=1.53x−14.23
(5.03x -8.03) - (3.5x +6.2)=
A pharmaceutical company has developed a new drug for people with psoriasis, a skin condition. Researchers would like to estimate the proportion of users who saw improvement in their skin after using the drug. Let p represent the true proportion of users whose skin improved. Which of the following is the smallest number of users the researchers can survey to guarantee a margin of error of 0.05 or less at
the 99% confidence level? (Use p^ = 0.5)
a. 600
b. 650
c. 700
d. 750
======================================================
Explanation:
At 99% confidence, the z critical value is roughly z = 2.576 which is found using a Z table.
We're given that [tex]\hat{p} = 0.5[/tex] as the sample proportion and E = 0.05 is the desired error.
The min sample size n is:
[tex]n = \hat{p}*(1-\hat{p})\left(\frac{z}{E}\right)^2\\\\n \approx 0.5*(1-0.5)\left(\frac{2.576}{0.05}\right)^2\\\\n \approx 663.5776\\\\n \approx 664\\\\[/tex]
Always round up to the nearest integer.
Unfortunately n = 664 isn't one of the answer choices. The next closest value is 700. It appears that your teacher wants to know a valid sample size that is the smallest of the answer choices, not necessarily the smallest ever possible.
Maura is jogging on her treadmill. She runs 2.25 miles in
1
2
of an hour. At that speed, how many miles could Maura run in 1
1
2
hours?
Answer:
6.75 miles
Step-by-step explanation:
Since it is 2.25 per 1/2 hour to get to 1 1/2 hour you multiply by 3. Then you do 2.25 times 3 and it gives you 6.75 miles.
hope that helps
Answer:
6.75 miles
Step-by-step explanation:
How many 1/2 hours in 1 1/2 hour? 1.5 ÷ 0.5 = 3
2.25 x 3 = 6.75
OR
Find the unit rate = 2.25 x 2 = 4.50 (we multiply it by 2 because there 2 half hours in an hour)
4.50 x 1.50 = 6.75
determine if the expressions
are
7. 2 - 2 + 5x; 5x