Answer:
See Below:
Step-by-step explanation:
So, first of all. to find the equation of the line, the equation has to be in [tex]y=mx+b[/tex] form. In this for the following are:
[tex]m[/tex] is the slope of the line[tex]b[/tex] is the y interceptSolving
So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).
To solve for the slope, we can use rise over run to find the equation.
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Upon inserting our points into the equation, we get a slope of -1.
[tex]\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1[/tex]
Creating The Equation
To create the equation in [tex]y=mx+b[/tex] form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.
[tex]y=-1x-2[/tex]
We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.
We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.
Cheers!
The sum of twice a numbet n, and 14 ls 30 write an equation that models this
statement. Then explain how you might use reasoning to find the value of
Answer:
2n + 14 = 30
n = 8
Step-by-step explanation:
When the question says twice a number n, that means 2 * n = 2n.
Then when it says the sum of 2n and 14, that means 2n + 14.
Then they said that the sum of 2n + 14 = 30
If you want to find the value of n, subtract 14 from both sides:
2n = 16
Then divide by 2 on both sides:
n = 8
I hope this helps!
A 20-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 6 feet from the base of the building. How high up the wall does the ladder reach?
Answer:
19.1 feet
Step-by-step explanation:
This forms a right triangle
use the pythagorean theorem
a^2 + b^2 = c^2
a^2 + 6^2 = 20^2
a^2 + 36 = 400
a^2 = 364
a = 19.0787840283
Rounded
19.1 feet
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Answer:
Zara ate 50 almonds last week
Step-by-step explanation:
part to whole ratio is 50 : 100
150 divided by 2 is 75
100 divided by 50 is equal to 2
Zara ate 50 almonds last week
pls mark brainliest if this helped :)
3 comic books for $6.75
Answer:
1 comic book for $2.25
Step-by-step explanation:
If 3 comic books are for $6.75, then 1 comic book will be $6.75 / 3 = $2.25, and there's your answer.
Tell me if I'm wrong :)
Answer:
$6.75/3= $2.25 per comic book
Step-by-step explanation:
What is a limit in calculation.
Answer:
I think this was what you was looking for; The limit is the value of the function approaches as the input approaches mentioned value. Limits are used as a way of making approximations used in the calculation as close as possible to the actual value of the quantity. Let us understand the limit formula in detail in the following section.
Step-by-step explanation:
30 x 50 x 60 - 100 +150
what is 4xy - 5y² - 3x² from 5x + 3y² - xy ?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex] \boxed{ \sf8 {y}^{2} + 3 {x}^{2} + 5x - 5xy}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]5x² + 3 {y}^{2} - xy - (4xy - 5y {}^{2} - 3 {x}^{2} )[/tex][tex]5x² + 3 {y}^{2} - xy - 4xy +5 {y}^{2} + 3 {x}^{2} [/tex][tex]3 {y}^{2} + 5 {y}^{2} + 3 {x}^{2} + 5x² - xy - 4xy[/tex][tex]8 {y}^{2} + 8 {x}^{2} - 5xy[/tex]Someone please solve and explain part a(i)
Step-by-step explanation:
the way I understand the description :
C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.
then, at B there is an antenna or other firm of mast going straight up.
therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).
but because it goes downhill from B to C the angle is 105 degree.
(a)(i)
now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?
this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.
what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.
(a)(ii)
the extended Pythagoras for not right-angled triangles :
c² = a² + b² - 2ab×cos(B)
B being the angle opposite of the Hypotenuse c.
so, we have
c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =
= 325 - 300×cos(105) = 402.6457135...
c = 20.06603383... ≈ 20 m
Carbon-14 has a half-life of 5730 years. How long will it take for 180 grams to decay to 100 grams?
Answer:
3185
(I'm not sure if it's correct, if it's wrong I apologize in advance.)
Is this a function? I don’t think it is but I’m not sure.
Answer:
no
Step-by-step explanation:
Find the measure of each angle indicated.
Please show your work
2.) Functions or Not a Function? Explain?
Answer:
answer
Step-by-step explanation:
Not a function.
When x repeats, it is automatically not a function. If y repeats, it is still a function.
Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?
Answer:
9Step-by-step explanation:
Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?
if a + 5 = 14 just subtract 5 from 14
a + 5 = 14
a = 14 - 5
a = 9
------------check
9+5=14
14=14
the answer is good
Craig wants to create a right triangle with side lengths 4 centimeters, 6 centimeters, and 8 centimeters. Is this possible? Why or why not?
Answer:
It's not possible
Step-by-step explanation:
In right triangle hipotenuse must be the longest side so it'll be 8 and legs will be 4 and 6.
So
[tex]4 {}^{2} + 6 {}^{2} [/tex]
Doesn't equal to
[tex]8 {}^{2} [/tex]
16+36=52 not 64
Find the perimeter. Simplify your answer.
Answer:
32a-18
Step-by-step explanation:
add together the side lengths:
10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18
Answer:
32a-18
Step-by-step explanation:
you just sum it all together
please someone solve this please asap
Answer:
Step-by-step explanation:
12-b
13-c
14-a
15-d
16-b
17-c
18-d]
Step-by-step explanation:
wow,1st time u have asked important questionhelp me free brainleist if you help
Answer:
4th one
Step-by-step explanation:
Evaluate [tex]\frac{15}{k}[/tex] when k =3
SOMEONE, PLEASE HELP!!! I'll mark brainliest for the fastest, correct answer. I'm giving 15pts!
Evaluate P(6, 2).
Answer: Permutation is 30
Step-by-step explanation:
-4 1/2 + 2 3/4
Guys help me Im having trouble on this EEEEEEEEEE
On August 19, 2002, the ratio of stocks gaining value on the New York Stock
Exchange to stocks losing value was about 43 to 20. If 869 stocks lost value, how
many gained?
A)892
B)1953
C)1797
D)1868
Answer:
D: 1868
Step-by-step explanation:
43:20 ratio
43/20 = 2.15
869 * 2.15 = 1,868.35
round down to nearest whole number
1,868
please help
y∝1/√x If y=5
when x=36 find,
x when y=3
Answer:
x = 100.
Step-by-step explanation:
y ∝ 1/√x
y = k /√x where k is a constant.
When x = 36 y = 5 so we have:
5 = k / √36
5 = k / 6
k = 30
So we have the relation:
y = 30 /√x
When y = 3
3 = 30/ √x
√x = 30/3 = 10
x= 100.
In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?
Answer:
20 by 36
divide and you get answer.
Answer:
1 r8
Step-by-step explanation:
20 ÷ 36 and then u get up answer
If there are 1000 grams in a kg and 455 grabs in a pound, how many pounds are there per kg
Answer:
The answer is 0.45359237.
Step-by-step explanation:
I assume you are converting between kilogram and pound.
Answer:
2.20462
Step-by-step explanation:
1000 / 455 = 2.20462
The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?
Answer:
7 and 1 / 2
Step-by-step explanation:
xy = 9
( 1 / x ) = 4 ( 1 / y )
y = 4x
x ( 4x ) = 9
4x^2 = 9
x = 3 / 2
( 3 / 2 ) y = 9
y = 6
6 + ( 3 / 2 ) = 7 and 1 / 2
The two numbers are 3/2 and 6.
What are reciprocal numbers?The reciprocal of a number is this fraction flipped upside down.
Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.
Let the numbers be a and b.
ab = 9.......(i)
1/a = 4/b
a = 4b..........(ii)
Using (i) in (ii)
4b×b = 9
b² = 9/4
b = 3/2
a×3/2 = 9
a = 6
Hence, The two numbers are 3/2 and 6.
For more references on reciprocal numbers, click;
https://brainly.com/question/15590281
#SPJ5
A vertical parabola has its vertex in the second quadrant and y=ax2+bx is the equation of this parabola. Sketch the line that has equation y=ax+b.
The vertex of a parabola is the minimum or the maximum point of the parabola.
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
The equation of the parabola is given as:
[tex]\mathbf{y = ax^2 + bx}[/tex]
For the vertex of the parabola to be in the second quadrant, then the following must be true:
a > 0 and b > 0
Take for instance:
a = 2, and b = 1
So, we have:
[tex]\mathbf{y = 2x^2 + 1x}[/tex]
Rewrite as:
[tex]\mathbf{y = 2x^2 + x}[/tex]
Factor out x
[tex]\mathbf{y = x(2x + 1)}[/tex]
So, the line equation is:
[tex]\mathbf{y = 2x + 1}[/tex]
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
Read more about parabolas at:
https://brainly.com/question/20333425
in the diagram below M is the midpoint of KL
A car travels 60 miles per hour. What is the total distance the car will travel in 60 minutes?
Answer:
The car will drive 60 miles in 60 minutes (an hour)
Step-by-step explanation:
For every hour driven (60 minutes) the person will drive 60 miles, therefore it will travel a distance of 60 miles in 60 minutes
I need help with this and thought if any of you guys can help
Answer:
not enough info .
Step-by-step explanation:
sorry it needs more info
A fish is at 12.85m below sea level and a turtle is at 3.5m right above the fish. State the position of the turtle.
Answer:
9.35
Step-by-step explanation:
because you take 3.5 away from 12.85
Answer:
9.35
Step-by-step explanation:
SAME EXPLANATION PO