Answer:
[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]
y-intercept: (0, 32), b = 32
[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Step-by-step explanation:
Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.
SlopeUse these points to solve for the slope of their line.
Let (x₁, y₁) = (0, 32)
(x₂, y₂) = (100, 212)
Substitute these points into the following formula for the slope:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]
[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]
Therefore, the slope of the line is [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].
Y-intercept:Next, the given problem asks for the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.
To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]
212 = 180 + b
Subtract 180 from both sides to isolate b:
212 - 180 = 180 - 180 + b
32 = b
The y-intercept is (0, 32), where b = 32.
Slope-intercept form:Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and the y-intercept, b = 32:
The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Simplify the expression: 5+2a - (9+a)
Answer:
a - 4
Step-by-step explanation:
[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]
а
Find the length of side x in simplest radical form with a rational denominator.
\30
X
60°
3
Answer:3√3
Step-by-step explanation:
tanx=opp/adj
tan60=x/3
make x the subject: 3 × tan60= x
x= 3√3 or 5.196 in decimals
Please help me with this homework
Answer:
Option D: [tex]y= -\frac34x+14[/tex]
Step-by-step explanation:
In order for two lines to be perpendicular, the product of the slopes has to be [tex]-1[/tex]. That allows you to rule out A and C. Let's plug the coordinate of the point in B. If the equality holds, we found or line. Else, it's D.
[tex]11 =-\frac34(4) +8 \rightarrow 11 = -3+8 \rightarrow 11=5[/tex] Which is obviously impossible. Our line has to be D
the sum of three consecutive integers is forty -two. find the three numbers
Answer:
13, 14, 15 right?
Step-by-step explanation:
(a) 35.8 + 10 need answer
In \triangle HIJ,△HIJ, \overline{HI}\cong \overline{JH} HI ≅ JH and \text{m}\angle J = 13^{\circ}.m∠J=13 ∘ . Find \text{m}\angle I.m∠I.
Answer:
13
Step-by-step explanation:
two angles are congrunet
The measurement of angle I in the given triangle HIJ is 83.5°.
Given is a triangle HIJ, where HI ≅ JH, and m ∠J = 13°, we need to find m ∠I.
Since HI ≅ JH (given) and ∠J = 13° (given), then ∠HJI ≅ ∠HIJ (by the isosceles triangle property).
In an isosceles triangle, the angles opposite the congruent sides are also congruent. Therefore, ∠HJI = ∠HIJ.
Now, let's denote ∠I as x (which is what we're trying to find). Since ∠HJI = ∠HIJ, we can set up an equation:
x + 13° + x = 180° (sum of angles in a triangle)
Solving for x:
2x + 13° = 180°
2x = 180° - 13°
2x = 167°
x = 167° / 2
x = 83.5°
So, m ∠I is 83.5°.
Learn more about isosceles triangle click;
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Complete question is given below:
In △HIJ, HI ≅ JH and m∠J = 13°. Find m ∠I.
suppose that a flu virus spreads according to the
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a magnitude of StartRoot 61 EndRoot.Complete the statements describing the vector. The y-coordinate of the vector to the nearest tenth is . The direction angle to the nearest whole number is °.
a.
The y-coordinate of the vector with its terminal point in the second quadrant is 6.
The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.
Since r = √61 and r = √(x² + y²)
Making y subject of the formula, we have
y = √(r² - x²)
Substituting the values of the variables into the equation, we have
y = √((√61)² - (-5)²)
y = √(61 - 25)
y = ±√36
y = ±6
Since r is in the second quadrant, its y-coordinate is positive.
So, y = 6
So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.
b.
The direction angle of the vector with its terminal point in the second quadrant is 130°
The direction angle of the vector is gotten from tanФ = y/x
Subsstituting x and y into the equation, we have
tanФ = y/x
tanФ = 6/-5
tanФ = -1.2
tan(180° - Ф) = 1.2
Taking inverse tan of both sides, we have
180° - Ф = tan⁻¹(1.2)
180° - Ф = 50.2°
Ф = 180° - 50.2°
Ф = 129.8°
Ф ≅ 130° to the neares whole number
The direction angle of the vector with its terminal point in the second quadrant is 130°.
Learn more about vectors here:
https://brainly.com/question/18478651
Answer:
first one is 6.0 and the second is 130
Step-by-step explanation:
A line is defined by the equation 2x + y = 4. Which shows the graph of this line?
Edge
PLEASE HELP i will give brainliest no links
Answer:
y=5x
Step-by-step explanation:
y=ax
use any value of x and y from the table
I chose (2,10)
10=2a
10/2=a
a=5
Consider the ratio of boys to girls of 4:5.
a) What is the total number of parts?
b) What fraction of the total are boys?
c) What fraction of the total are girls?
d)If there were 18 students in total,how many of them are boys?
e)If there were 18 students in total, how many of them are girls?
Step-by-step explanation:
[tex]a)[/tex]
[tex]4+5=9 (parts)[/tex]
[tex]b)[/tex] our total is [tex]9[/tex] our boys are [tex]4\\[/tex]
our fraction is [tex]^4/_9[/tex]
[tex]c)[/tex] [tex]^5/_9[/tex]
[tex]d)[/tex] our whole used to be [tex]9[/tex] but we doubled it so it is [tex]18[/tex]
so we double [tex]4[/tex] which equals [tex]8[/tex]
[tex]^8/_{18}[/tex]
[tex]e)[/tex] [tex]^{10}/_{18}[/tex]
Brainliest please
Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
What is the average daily change in the share price from d = 5 to d = 20?
243/15
11
-15/243
33
From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.
The average rate of change of a function p(x) over an interval [a,b] is given by:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].
The values of the function are [tex]p(5) = 39, p(20) = 204[/tex].
Hence:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
[tex]A = \frac{204 - 39}{20 - 5}[/tex]
[tex]A = 11[/tex]
The average daily change in the share price from d = 5 to d = 20 is of 11.
A similar problem is given at https://brainly.com/question/20732437
i will mark brainliest!!!!!!
Answer:
k=10x+6
Step-by-step explanation:
64 is equal to 2^6, so we just have 2^6*4^5k
4^5x is equal to 2^10x and we have 2^6*2^10x=2^k
Apply exponent multiplication rule : a^m*a^n=a^m+n
We get 2^10x+6, so 10x+6 is our answer
whats bigger? -6 or -5????? PLZ HELP
Answer:
-5 is more positive than -6. SO bigger, I think means less negative, so -5.
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
On a number scale, -5 is bigger than -6 because it is less negative than -6. You can also think about it in context: if the temperature was -5 degrees it would be warmer than -6 degrees so is therefore bigger!
Hope this helps!
x-4-2=-11
i need help on this asap
Answer:
X = -5
Step-by-step explanation:
X-4-2=-11
X-6=-11
X=-11+6
X=-5
Hope it helped youuuuu
(4/x–3) + (2/x+2) = 0
please I need answers asap
Answer:
X= 6
Step-by-step explanation:
Answer:
X = 6
Step-by-step explanation:
(4/x - 3) + (2/x + 2) = 0
--> Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
4+x(−3)+2+x×2=0
--> Add 4 and 2 to get 6.
6+x(−3)+x×2=0
--> Combine x(−3) and x×2 to get −x.
6−x=0
--> Subtract 6 from both sides. Anything subtracted from zero gives its negation.
−x=−6
--> Multiply both sides by −1.
Thus, the answer is X =6
Hope this helps you!
anyone ?????????????
Answer:
g(4) = 8
g(6) = 12
Step-by-step explanation:
come on dude, easier than that?
Find the perimeter. Simplify your answer.
Answer:
hi
Step-by-step explanation:
Joshua needs to join the text in two cells together. which of the following would perform this function?
a. ="good" "morning"
b. ="good"&"morning"
c. =good "&" morning
d. ="good"&&"morning"
When you graph a linear equation, it will
form a:
Select one:
a.
curve
O b. square
С.
line
d. all of the above.
Help.
Answer:
straight line, C
Step-by-step explanation:
The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.
I hope this helps.
4x+5y=20 need help solving x and y intercept plotting
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x To find the y-intercept, substitute in 0 for x and solve for y.
Slope: [tex]m=-\frac{4}{5}[/tex]
x-intercept(s): ( 5 , 0 )
y-intercept(s): ( 0 , 4 )
If a box has a volume of 456 cubic inches, with the length of 1 foot and a height of 4 inches, what is the width of the box?
Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.
Answer:
it's simple it means
2×b-8=5
Answer:
b = 10.5
Step-by-step explanation:
The difference of b and 8 is b - 8 and twice this difference is
2(b - 8) = 5 ← distribute parenthesis on left side
2b - 16 = 5 ( add 16 to both sides )
2b = 21 ( divide both sides by 2 )
b = 10.5
The unknown number b is 10.5
(REPOST) STATION 3 ! 40 POINTS
Answer:
Great valley
Mercury
Liberty
Delta
International
Step-by-step explanation:
Liberty Express: 128.333
Mercury speed: 130
International speed: 122.666666
Delta Eagle speed: 125
Great Vally speed: 130.5
distance/time=speed
Order:
Great valley
Mercury
Liberty
Delta
International
Pleeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaase help
Answer:IT IS 170
Step-by-step explanation:
If ; gallon of paint covers ; of a wall, then how many
quarts of paint are needed for the entire wall?
Answer:
how many of a wall a galloon of paint cover?
Step-by-step explanation:
8b–9b–5b+7b
Simplify the expression:
Answer:
b, or 1b
Step-by-step explanation:
First of all, you have to combine like terms. In this situation though, they are all b. So start at the beginning. 8-9 is -1. -1 - 5 is -6. -6+7 is 1. So you say, b, because it is the same thing as 1 b.
Evaluate 36 = (x + 9) when x
=
3.
o
A. 3
B. 12
C. 4.
D. 21
SUB
Answer:
3
Step-by-step explanation:
36 ÷ (x + 9)
=> 36 ÷ (3 + 9)
=> 36 ÷ 12
=> 3
Therefore, 3 is the answer.
A hardware store owner placed an advertisement for Sylvania LED bulbs in the local newspaper. Sylvania provided the storeowner with several high-quality, camera-ready sample advertisements. In addition to supplying the advertising formats, Sylvania also paid 50 percent of the cost to place the ad in the paper. Sylvania was using ________ to promote its products. manufacturer incentive advertising strategic channel partnership reseller consumer promotion retail publicity cooperative advertising
Answer: Cooperative advertising
Step-by-step explanation:
Solve the slope for the table.
Answer:
Slope = -3
Step-by-step explanation:
8-17/0+3=-9/3=-3 : Slope Formula
The principal is equally distributing 6
4
5
cakes on 2 tables for a school party. How many cakes are on each table?
645/2=322.5 cakes on each table
hope this helps!