Answer and Step-by-step explanation: Equations of line through points and slope can be determined by:
[tex]y-y_{0}=m(x-x_{0})[/tex]
m is slope
Point (2,-4) and y-intercept = -2Y-intercept is point (0,-2)
m = [tex]\frac{y_{a}-y_{b}}{x_{a}-x_{b}}[/tex]
m = [tex]\frac{-4-(-2)}{2-0}[/tex]
m = - 1
Equation:
[tex]y+2=-1(x-0)[/tex]
[tex]y=-x-2[/tex]
Points (4,2) and (3,1)m = [tex]\frac{2-1}{4-3}[/tex]
m = 1
Equation:
[tex]y-2=(x-4)[/tex]
[tex]y=x-2[/tex]
Point (3,2) and slope = -2m = -2
Equation:
[tex]y-2=-2(x-3)[/tex]
[tex]y=-2x+6+2[/tex]
[tex]y=-2x+8[/tex]
Which of the following is an irrational number?
5 / 4
√5 / 7
1/ 8
3 / 5
Answer: [tex]\sqrt{5} /7[/tex]
Step-by-step explanation:
5/4 is not an irrational number because it is already in a fraction the same as 1/8 and 3/5.
The square root of 5 is not rational because it cannot be converted to a fraction or in other words is not a perfect square.
Answer:√5 / 7
Step-by-step explanation:
If m is 21 inches, k is 34 inches, and ∠J measures 60°, then find j using the Law of Cosines. Round your answer to the nearest tenth.
Answer:
j = 29.7 inches
Step-by-step explanation:
The following data were obtained from the question:
m = 21 inches
k = 34 inches
Angle L = 60°
j =?
Using Cosine rule, the value of j can be obtained as follow:
j² = m² + k² – 2mk Cos J
j² = 21² + 34² – 2 × 21 × 34 × Cos 60°
j² = 441 + 1156 – 1428 × 0.5
j² = 1597 – 714
j² = 883
Take the square root of both side
j = √883
j = 29.7 inches
Therefore, the value of j is 29.7 inches.
Correct answer gets 5 star
Answer:
A. The function is Nonlinear.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A backpacking company requires each camper to bring a lantern to go on a trip. The company supplies 4 extra in case any lanterns get lost or broken. Write an equation if c represent the number of campers and l represent the total number of lanterns.
A. cl=4
B. c=l+4
C. l=c−4
D. l=c+4
Answer:the answer is D
Step-by-step explanation:
Instructions: Determine whether the
following polygons are similar. If yes, type
in the similarity statement and scale
factor. Pano, type 'None' in the blanks.
35
M
х
w -18
50°
63
63
10
10
50°
35 N
z
18
Similar: Yes
Similarity Statement:
Scale Factor:
Answer:
No, the above polynomials aren't similar as they don't have a constant scale factor
The following polygons given in the question are not similar .
What are similar polygons ?Similar polygons are those polygon which have the similar shapes but with different size and dimensions. Similar polygons have also the scaling factor ration equal.
How to identify whether the given polynomials are similar?There are two polygons given in the question LMNO and WXYZ .
For both of the polygons, we are checking the adjacent sides of the polygons.
The value of LM = 35 but for the other polygon , its adjacent side WX = 18.
Similar LO = 63 and WZ = 10 .
Also the adjacent angles are not equal as ∠MNO = 50° and ∠ZWX = 50° .
Therefore, the polygons given have different scaling factor.
Thus, the following polygons given in the question are not similar .
To learn more about similar polygons, refer -
https://brainly.com/question/16058229
#SPJ2
Natalie and Lexi are recycling aluminum cans to earn money for camp. Natalie's barrel of cans weighs 115 lb., and Lexi's barrel of cans weighs 98 lb. If the barrels each weigh 8 lb. when empty, how many pounds of cans have they collected?
Answer:
197 pounds of cans
Step-by-step explanation:
Find how many pounds of cans they have collected by subtracting 8 from both of their barrel weights:
115 - 8
= 107
98 - 8
= 90
Add these two weights together:
107 + 90
= 197
So, they collected 197 pounds of cans
A circle is circumscribed around a square and another circle is inscribed in the square. If the area of the square is 9 in2, what is the ratio of the circumference of the circumscribed circle to the one of the inscribed?
Answer:
√2:1
Step-by-step explanation:
First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e
L = di
Given the area of the square to be 9in², we can get the length of the square.
Area of a square = L²
L is the length of the square.
9 = L²
L = √9
L = 3in
Hence the length of one side of the square is 3in
This means that the diameter of the inscribed circle di is also 3in.
Circumference of a circle = π×diameter of the circle(di)
Circumference of inscribed circle = π×3
= 3π in
For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.
To get the diagonal d0, we will apply the Pythagoras theorem.
d0² = L²+L²
d0² = 3²+3²
d0² = 9+9
d0² = 18
d0 = √18
d0 = √9×√2
d0 = 3√2 in
Hence the diameter of the circumscribed circle (d0) is 3√2 in
Circumference of the circumscribed circle = πd0
= π(3√2)
= 3√2 π in
Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1
The common difference of an ap is -2 find its sum of first term is hundred and last term is minus 10
Answer:
The sum of the arithmetic progression is 2520
Step-by-step explanation:
The sum, Sₙ, of an arithmetic progression, AP, is given as follows;
[tex]S_{n}=\dfrac{n}{2}\cdot \left (2\cdot a+\left (n-1 \right )\cdot d \right )[/tex]
Where;
n = The nth term of the progression
a = The first term = 100
d = The common difference = -2
Given that the last term = -10, we have;
-10 = 100 + (n - 1) ×(-2)
n = (-10 - 100)/(-2) + 1 = 56
Therefore, the sum of the 56 terms of the arithmetic progression is [tex]S_{56}=\dfrac{56}{2}\cdot \left (2\cdot 100+\left (56-1 \right )\cdot (-2) \right )[/tex]
Which gives;
[tex]S_{56}={28}\cdot \left (200-\left 110 \right ) = 2520[/tex]
In the second raffle, winning tickets are prime numbers. Click on the winning tickets. 11 71 66 18 22 15 19 49 60 9 75 1 45 88 67 72 30 16 99 43
Answer:
11, 71, 19, 67, 43.
Step-by-step explanation:
Question 13 of 25
Which of the following is a correct name for a side of the given angle?
D
E
A. Point E
B. ED
C. DE
D. Point D
Find the value of x.
A.124
B.57
C.72
D.90
9514 1404 393
Answer:
x = 90°
Step-by-step explanation:
Half the sum of x and 120° is the angle where the chords cross, 105°. Then ...
105° = (1/2)(x +120°)
210° = x + 120°
210° -120° = x = 90°
_____
Additional comment
z is the arc that finishes the circle: 360° -90° -68° -120° = 82°.
A circle has a circumference of C inches and an area of A square inches. inches. fC = 2/5 * A what is the diameter of the circle?
0.4 in.
0.8 in
2.5 in
10in
[tex]\it R=circle's \ radius;\ \ D=diameter;\ \ D=2R\\ \\ \mathcal{C}=2\pi R\\ \\ \mathcal{A}=\pi R^2\\ \\ \mathcal{C}=\dfrac{2}{5}\cdot\mathcal{A} \Rightarrow 2\pi R=\dfrac{2}{5}\pi R^2|_{\cdot\frac{5}{2}} \Rightarrow 5\pi R=\pi R^2|_{:(\pi R)} \Rightarrow 5=R|_{\cdot2} \Rightarrow 10=2R\\ \\ But,\ 2R=D,\ so\ \ D=10\ in[/tex]
I need major help quickly
Answer: Hi! The last answer is correct.
4(2) + 4 isn't equal to nine, so it doesn't make sense that Sadie could have scored 4 goals.
Hope this helped!
Answer:
the answer is the last one because if you do 4 times 2 and then add four it would add up to way more than 9.
Step-by-step explanation:
Does someone know how to solve this?
Answer:
6 quarts
Step-by-step explanation:
8 bags
--------
2 quarts
Multiply top and bottom by 3
8*3 bags
--------
2*3 quarts
24 bags
--------------
6 quarts
Answer:
6
Step-by-step explanation:
2 quarts of iced tea = 8 tea bags.
x quarts of Iced tea = 24 tea bags
=> 2/8 = x/24
=> Multiply the extremes and means
=> 8x = 48
=> 8x / 8 = 48 / 8
=> x = 6
6 quarts of iced tea can be made with 24 tea bags.
If a ray bisects an angle, each newly formed angle measures 90 degrees.
A) Sometimes
B) Always
C) Never
Answer:
A) Sometimes
A ) Sometimes is the correct answer because b) always and c) never is not possible
it cannot be always measured 90 degrees
3. If bº = 110°, what is the value of gº?
Answer:
hello mate <3
u see here its a quadrialteral
with 4 angles b , d , 70 , g
so b + d + 70 + g = 360
now u see 60 + d = 180 (straight line)
d = 120 and b = 110 ( given)
so
110 + 120 + 70 + g = 360
g + 300 = 360
g = 360 - 300 = 60 degrees option c
brainliest?
누가 좀 도와주세요 help
[tex] \sin(36) - \cos(54) \\ \tan(80) - \cot(10) [/tex]
Answer:
Step-by-step explanation:
Sin (90 - ∅) = Cos ∅
90 -54 = 36
Sin 36 = Sin (90 - 54)
= Cos 54 --------->(I)
Now, Sin (36) - Cos (54) = Cos 54 - Cos 54 {From 1}
= 0
2) tan (90-∅) = Cot ∅
Tan 80 = Tan (90 - 10)
= Cot 10 ----------(II)
Tan 80 - Cot 10 = Cot 10 - cot 10 -----------(from (II)}
= 0
Are you korean?
≧∇≦
ฅ'ω'ฅ
Ken said that he is going to reduce the number of calories that he eats during the day. Ken's trainer asked him to start off small and reduce the number of calories by no more than 7%.
Answer:
Ok, this question seems incomplete, so i will answer it in a general way.
Suppose that regularly, Ken eats A calories during the day. (A is a positive number)
Now, Ken wants to reduce this number, but his nutritionist tells him to reduce no more than 7% (So the max reduction possible is a reduction of the 7%).
So after the reduction, Ken eats C calories per day.
First, the maximum reduction that Ken can do is when he reduces exactly 7% of the calories.
So if he regularly consumes A calories, the reduction will be of
(7%/100%)*A = 0.07*A
So after the reduction, the amount of calories that he consumes per day is:
C = A - 0.07*A = A*(1 - 0.07) = A*0.93
But this is the minimum amount of calories that he can consume, the actual range of possible options will be:
A < C ≤ A*0.97.
C is strictly smaller than A because we must have a reduction in the number of calories.
Those values of C is all the posible amounts of calories that Ken eats per day after the initial reduction in the number of calories per day.
write an equation for a line that is perpendicular to y=1/2x+6
Answer:
y= -2x+6
Step-by-step explanation:
General formula :
y=mx+c
m is the gradient
when finding when finding the perpendicular line of another line is will be the negative inverse of the gradient
The perpendicular line will have a gradient of -2 (the negative inverse of 1/2)
so
the line perpendicular to the equation y=1/2x+6
is y= -2x+6
Which of the following describes a change in a shape's position or size?
A. reflection symmetry
B. image
O C. transformation
D. rotational symmetry
Answer:
The correct option is;
C. Transformation
Step-by-step explanation:
In mathematics, transformation refers to the relocation of an object called the pre-image from initial position to another new location at which point the object will be known as the image whereby there is a one to one mapping from each point on the pre-image to the image
The types of transformation includes reflection, rotation, and translation which involve changes in position and dilation, which involves changes in the size of the pre-image.
can you solve;
3/7+5/21
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\frac{3}{7}+\frac{5}{21}[/tex]
[tex]= \frac{3}{7}+\frac{5}{21}[/tex]
[tex]= \frac{9}{21}+\frac{5}{21}[/tex]
[tex]= \frac{9 + 5}{21}[/tex]
[tex]= \frac{14}{21}[/tex]
[tex]= \frac{2}{3}[/tex] (Decimal: 0.666667)
Answer : [tex]\boxed{\frac{2}{3} }[/tex] (Decimal: 0.666667)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
factorise 9a^2-b^2??
━━━━━━━☆☆━━━━━━━
▹ Answer
3² * a² - b²
▹ Step-by-Step Explanation
9a² - b²
Break down each coefficient and variable:
9 = 3²
a² = a²
b² = b²
Combine everything together:
3² * a² - b²
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=[a+b][a-b] where a=3a and b=b
Tuesday 8 hours and 18 hours minutes Wednesday 7 hours and 54 minutes how many hours did Brett work in total this week
Answer:
(if you just add them together), it is 16 hours and 12 minutes
Step-by-step explanation:
8 hours plus 7 hours is 15 hours. 54 minutes plus 6 minutes is another hour. We then have 12 minutes left over. This could also be 16 1/5 hrs.
Complete the square to solve 4x2 + 24x = 4.
Answer:
x = - 3 ± [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Given
4x² + 24x = 4 ( divide through by 4 )
x² + 6x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 1 + 9
(x + 3)² = 10 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{10}[/tex] ( subtract 3 from both sides )
x = - 3 ± [tex]\sqrt{10}[/tex]
Answer:
X=1/8
Step-by-step explanation:
Calculate the product 4x×2 + 24x = 4
Collect like terms 8x + 24x = 4
Divide both sides of the equation by "32" 32x = 4
Solution x = 1/8
Ms. Canton has a book case. On three of the shelves there are the same amount of books. On another shelf there are four of her favorite books. Write an expression to represent all of the books in Ms. Canton's book case. Explain your answer
Answer:
y = 3x + 4
Step-by-step explanation:
According to the given question, the expression to represent all the books in Ms. Canton's bookcase is shown below:-
y indicates the total amount of books
x indicates the equal cost of books on 3 bookshelves
while
+4 indicates 4 other books on the fourth bookshelf
So, the expression will be
y = 3x + 4
Therefore the correct answer is y = 3x + 4
Figure A is a scale image of Figure B. What is the value of x?
please answer asap!
Answer:
[tex]\huge \boxed{x=30}[/tex]
Step-by-step explanation:
[tex]\sf We \ can \ use \ ratios \ to \ solve.[/tex]
[tex]\displaystyle \frac{45}{27} =\frac{x}{18}[/tex]
[tex]\sf Multiply \ both \ sides \ by \ 18.[/tex]
[tex]\displaystyle \frac{45}{27}(18) =\frac{x}{18}(18)[/tex]
[tex]\sf Simplify \ the \ equation.[/tex]
[tex]\displaystyle \frac{810}{27} =x[/tex]
[tex]30=x[/tex]
$108.75 for working 15 hours as a holiday helper wrapping gifts. At this rate, how much money will she earn if she works 18 hours the next week. Explain.
Which of the following is a solution of this equation?
A.
(5,0)
B.
(-1, 1)
C.
(3,-1)
D.
(-2,-3)
Answer:
D. (-2,-3)
Step-by-step explanation:
substitute the point values of [tex]x[/tex] and [tex]y[/tex] into the equation [tex]y=\frac{1}{2}x-2[/tex]
A. [tex]0=\frac{1}{2}(5)-2[/tex]
[tex]0=2.5-2[/tex]
[tex]0[/tex] ≠ [tex]0.5[/tex]
B. [tex]1=\frac{1}{2}(-1)-2[/tex]
[tex]1=-.5-2[/tex]
[tex]1[/tex] ≠ [tex]-2.5[/tex]
C. [tex]-1=\frac{1}{2}(3)-2[/tex]
[tex]-1=1.5-2[/tex]
[tex]-1[/tex] ≠ [tex]-0.5[/tex]
D. [tex]-3=\frac{1}{2}(-2)-2[/tex]
[tex]-3=-1-2[/tex]
[tex]-3=-3[/tex]
Let f and g be inverse functions. Find f(g(8)).
Answer:
8
Step-by-step explanation:
If f and g are inverse functions , they undo each other
f(g(8))= 8 when f and g are inverses
Answer:
8
Step-by-step explanation:
I have no further information so this is the only answer.
The tax rate in a certain city is 10.25% Arnold makes a $310.50 purchase there. How much will Arnold pay in tax? How much will he pay in all?
Tax: $______
Total: $_____
Answer:
tax=31.83 and total=278.67
Step-by-step explanation:
310.50×10.25/100
Tax=31.83
Total=310.50-31.83
=278.67