Given:
A line passes through the points (2,0) and (-2,2).
To find:
The equation of the line.
Solution:
If a line passes through the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through the points (2,0) and (-2,2). So, the equation of the line is:
[tex]y-0=\dfrac{2-0}{-2-2}(x-2)[/tex]
[tex]y=\dfrac{2}{-4}(x-2)[/tex]
[tex]y=-\dfrac{1}{2}(x-2)[/tex]
[tex]y=-\dfrac{1}{2}(x)-\dfrac{1}{2}(-2)[/tex]
[tex]y=-\dfrac{1}{2}x+1[/tex]
Therefore, the required equation is [tex]y=-\dfrac{1}{2}x+1[/tex].
Note: In the options, the variables are missing.
A pocket contains 2 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime two times in a row, if the first coin drawn is not replaced?
Answer:
1/6
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability of choosing dimes twice = total number of dimes / total number of coins
At first pick = 4/9
because there is no replacement, dimes and total coins reduce by 1 and
second pick = 3/8
4/9 x 3/8 = 1/6
Fran and Lamar are walking they walk 5 kilometers frans starts walking at 45 meter per minute Lamar starts 5 minutes later at 50 meters per minute how many minutes will lamar catch up to fran how far will they have walk
Answer:
The time Lamar will catch up to Fran is 50.26 mins and they would have walked 2.5 km each.
Step-by-step explanation:
Given;
total distance walked by both Fran and Lamar, d = 5 km = 5,000 m
speed of Fran, = 45 m/min
speed of Lamar, = 50 m/min
Let the time Lamar catch up to Fran = t (mins)
At the time "t" Lamar would have walked a distance of 50(t),
At the time "t" Fran would have walked a distance of 45(t + 5)
The total distance they walked; d = 50t + 45(t + 5)
5000 = 50t + 45(t + 5)
5000 = 50t + 45t + 225
5000 - 225 = 95t
4775 = 95t
t = 4775/95
t = 50.26 mins
The distance walked by Frans: = 45 (50.26 + 5)
= 2487 m
The distance walked by Lamar: = 50 (50.26)
= 2513 m
“7a - 17 = 4a +1”
Step by step pls
Answer:
a = 6
Step-by-step explanation:
7a-17 = 4a +1 ; Subtract 4a from both sides
3a - 17 = 1 ; Add 17 to both sides
3a = 18 ; Divide both sides by 3
a = 6
7a-17=4a+1
7a-4a=1+17
3a=18
a=6
How does the graph of f(x) = 3jx+2 +4 relate to its parent function?
A. The parent function has been translated to the left.
B. The parent function has been translated up.
C. The parent function has been compressed.
D. The parent function has been stretched.
Answer:
A,B,C
Step-by-step explanation:
The +2 in the absolute values means that it's translated to the left
The +4 on the outside means that it's translated up
The 3 means that it's compressed
Help plz :)no links plz
12/13
sin = opposite / hypotenuse
Some one plzzzz helpppp meeee
Answer: download photo math
Step-by-step explanation:
Quadrilaterals ABCD and WXY Z are congruent.
B
A
X
Z
Which of the following sequences of transformations maps WXY Z onto ABCD
A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bottom left corner into the top right back corner how long is the straw?
Answer: [tex]10.2"[/tex]
Step-by-step explanation:
Given
The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]
If the Straw fits exactly into the box diagonally
So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.
[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]
Find the surface area of the ball shown. Use 3.14 for pie.
Radius is 17cm
The ball has a surface area of about ? Cm^2
Answer:
[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]
Step-by-step explanation:
we are given a ball
remember that,a ball is a Sphere
thus,
[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]
given that, redious is 17 cm
substitute:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]
simplify square:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]
substitute the approximate value of π:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]
simplify multiplication:
[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]
hence, the surface area of the sphere is 3629.84 cm²
The K.C. Juice Company plans to reduce the size of its original juice box, shown below. The new juice box will be 1 centimeter
shorter in height than the original box.
10 cm
KC
Apple
Juice
3 cm
7 cm
What is the difference between the volumes of the original and new juice boxes?
Answer: The difference is 21
Step-by-step explanation:
first find the volume of the first rectangler prism and write that number down. secound use the same equation but first change the height by 1 and then lastly subtract those two volumes to get your answer.
210-189=21
189+21=210
round 11.475 to the nearest percent plz
Answer:
11.5 I think??
Step-by-step explanation:
11.475 rounded to the nearest percent would be 11. Rounded to the nearest tenth would be 11.5
PLEASE HELP ME ANSWER NEEDS TO HAVE AN EXPLANATION STEP BY STEP.
Step-by-step explanation:
As side of a square is a², so it will be
[tex]\tt{(\sqrt{2} - 3 \sqrt{5})^2}[/tex]
Refer to attachment, the answer is provided.
Hope it helps :)
Are the following triangles similar? Explain.
Answer:
yes
the sides bear a similar proportion to each other
CE = 1.67BC
CD = 1.67AC
Step-by-step explanation:
Two triangles are similar if the corresponding angels are congruent to each other and if the sides of the triangle are in proportion to each other
to determine if the triangles are similar, determine if the sides are in proportion to each other
CE = 10
BC = 6
10 / 6 = 1.67
DC = 15
AC = 9
15/9 = 1.67
The sides of the triangle are in proportion to each other, thus they are similar
Please help! I will give brainliest!
Answer:
it's going to be c
Step-by-step explanation:
set a is an exponential function and the values increase at a faster rate than set B
please help and show work
Answer:
?
Step-by-step explanation:
Is a trapezoid always a quadrilateral?
yes
no
Answer:
The correct answer is that all trapezoids are quadrilaterals. ... Trapezoids are four-sided polygons, so they are all quadrilaterals.
Step-by-step explanation:
hope it helped ( ◜‿◝ )♡
what is 50/277 decimal to the nearest hundredth?
Answer:
50/277 is also the same as 50 ÷ 277, so just divide those two numbers.
50 ÷ 277 = 0.181
Now we find out 0.181 to the nearest hundredth
To the nearest hundredth when rounding the answer will be 0.18
So your answer is 0.18
Hope I helped! :)
2. The pitcher had 1 quarts of water. After Lena poured some of the water into
a bowl, the pitcher had') quart of water left How much water was poured in
the bowl?
!!!!!I NEED HELP ASAP!!!!!
1
What is the product оf (9)(-9. (-1)
-81
-1
1
81
Answer:
81
Step-by-step explanation:
(-81)(-1) = 81
keyonna and rachel hand out pencils for the class. there are 10 pencils. they only need 3/5 out of the pencils. how many pencils do they need?
Answer:
About 6 pencils
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
in order to solve this, you need to multiply 3/5 and 10: [tex]\frac{3}{5}[/tex] × 10
to do this, first multiply 3 and 10: 3 x 10 = 30
now divide 30 by 5: 30 ÷ 5 = 6
can we eliminate all fat people from the earth? they're useless individuals.
Answer:
No
Step-by-step explanation:
Dude, I'm not joking.
I started writing stuff as a joke, than developed it, and I think I'll write a book. You just gave me an incredible idea (not about fat people, about society itself and our future).
Thank you very much.
If you see any book written by a Racciatti in 10 years, contact me.
Hope this works, holy man so much ideas in my head. Thank you again.
Find the missing dimension of the prism (Pic Provided)
can anyone help?? I’ll give brainliest! :)
Answer:
I believe the answer is C
What is the value of y-x?
A. 20
B. 30
C. 45
A set of symbols that expresses a mathematical rule is called a ___________.
Answer:
Formula! Have a nice day!
Answer:
yo bro it formula
Step-by-step explanation:
can i get brainiest if im right
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
(-2.5, 1) and (0.5, 5)
Step-by-step explanation:
The main idea is to divide the line into four segments.
so you find the midpoint between (-4, -1) and (2, 7), which is (-1, 3).
then you find the midpoint again between (-4, -1) (-1, 3) and (2, 7) (-1, 3), which is (-2.5, 1) and (0.5, 5).
find the mean of the following numbers 14,17,28,49
Answer:
27
Step-by-step explanation:
14 + 17 + 28 + 49 = 108
108 / 4 = 27
What is the r value of the following data to three decimal places x y 4 23 5 12 8 10 9 9 13 2
Answer: -0.903
Step-by-step explanation:
what is the value of x WILL GIVE BRAINLIEST ANSWER
Answer:
x = 116°
Step-by-step explanation:
number of degrees in a pentagon is (5-2)180° = 540°
x + 121 + 90 + 115 + 98 = 540
x + 424 = 540
x = 116°
Solve the following quadratic function
by utilizing the square root method.
y = 16 – x2