Answers
Answer:
A. (1, 2) and (4, 3)
B. Slope (m) = ⅓
C. y - 2 = ⅓(x - 1)
D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]
Step-by-step explanation:
A. Two points on the line from the graph are: (1, 2) and (4, 3)
B. The slope can be calculated using two points, (1, 2) and (4, 3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]
Slope (m) = ⅓
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).
Thus:
y - 2 = ⅓(x - 1)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 2 = ⅓(x - 1)
3(y - 2) = x - 1
3y - 6 = x - 1
3y = x - 1 + 6
3y = x + 5
[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
E. Convert the equation in (D) to standard form:
[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]
Related Questions
which equation shows that the pythagorean identity is true for Ø=pi? select the equation that is the form sin^2(pi)+cos^2(pi)=1
a.0^2 +1^2=1
b.0^2 +(-1)^2=1
c. 1^2+0^2=1
d.(-1)^2+0^2=1
Answers
Answer: For This Specific Question it is B, But there is a question very similar that doesn't have the pi's in the equation and the answer to that one is A.
Step-by-step explanation: Very sorry if this is confusing :)
Pythagorean identities are three basic identities for trigonometric ratios. The equation that is of the form [tex]\sin^2(\pi) + \cos^2(\pi) =1[/tex] is given by: Option B: [tex]0^2 + (-1)^2 = 1[/tex]
Equations which shows that the Pythagorean identities are true will be verifying them for some specific angles. For that we need to know about Pythagorean identities.
What are Pythagorean identities?[tex]sin^2(\theta) + cos^2(\theta) = 1\\\\1 + tan^2(\theta) = sec^2(\theta)\\\\1 + cot^2(\theta) = csc^2(\theta)[/tex]
Using the first Pythagorean Identity to get one of its special case
For angle being [tex]\pi[/tex] radians(or equal to 180 degrees), we have:
[tex]sin(\pi) = 0\\cos(\pi) = -1[/tex]
Thus, for the first Pythagorean identity at angle [tex]\pi[/tex] radians, we get:
[tex]sin^2(\pi) + cos^2(\pi) = 1\\\\0^2 + (-1)^2 = 1[/tex]
Thus, the equation that is of the form [tex]\sin^2(\pi) + \cos^2(\pi) =1[/tex] is given by: Option B: [tex]0^2 + (-1)^2 = 1[/tex]
Learn more about Pythagorean identities here:
https://brainly.com/question/24287773
which graph represents the solution to this inequality
Answers
Answer:
C
Step-by-step explanation:
Answer
it is: C
Step-by-step explanation:
Help me please solve this
Answers
9514 1404 393
Answer:
a) no
b) yes
Step-by-step explanation:
a) You cannot draw the graph around x=0 without lifting your pencil. The function is not continuous at x=0.
__
b) You can draw the graph around x=1 without lifting your pencil. The function is continuous at x=1.
_____
Additional comment
In technical terms, the limit from the left at x=0 is 2; the limit from the right is 3. These are different, so the function is not continuous there.
On the other hand, the left and right limits at x=1 are the same (both 2), and are equal to the value of the function at that point (f(1)=2). Hence, the function is continuous at x=1.
Select the correct answer. Find the quotient of (5+4i)/(6+8i) , and express it in the simplest.
Answers
Answer:
[tex]\frac{31}{50}-\frac{4i}{25}[/tex]
Step-by-step explanation:
4a.
An iron bar is heated. Its length, L, in millimetres can be modelled by a linear function, L=mT+c, where T is the temperature measured in degrees Celsius (°C).
At 150°C the length of the iron bar is 180 mm.
Write down an equation that shows this information.
4b.
At 210°C the length of the iron bar is 181.5 mm.
Write down an equation that shows this second piece of information.
4c.
At 210°C the length of the iron bar is 181.5 mm.
Hence, find the length of the iron bar at 40°C.
(really need most help on last one)
Answers
Answer and Step-by-step explanation:
1) A person can pay $16 for a membership to the science museum and then go to the
museum for just $3 per visit. What is the maximum number of visits a member of the
science museum can make for a total cost of $37?
visits
Please hurry
Answers
7 visits
Step-by-step explanation:
All I did was minus 16 from 37 to get 21, then divided that by 3.
two equations in standard for equivalent to x+y=-10
Answers
Find f(−5) if f(x)=|x+1|. Type a numerical answer in the space provided. Do not type spaces in your answer.
Answers
===============================================
Work Shown:
f(x) = |x+1|
f(-5) = |-5+1| .... x is replaced with -5
f(-5) = |-4|
f(-5) = 4
1) Given: H is the midpoint of EG
mZE = mZG
G
D
Prove: ADEH - AFGH
H.
E
F
Answers
It is E
Duhhhhhhhhhhhhh
What subfield of mathematics requires the most spatial reasoning?
No answer needed, just need to get rid of all my points.
Answers
Answer:
brainlest?
Step-by-step explanation:
......
Answer: I looked it up and got a couple of answers of spatial reasoning. Don’t know if that helps but yeah thats what I got lol
Step-by-step explanation:
Need help asap please. solve for x 2/5x = 6/5
Answers
Answer: You need to divide the numbers.
Step-by-step explanation:
Answer:
The answer is X=3
Step-by-step explanation:
2/5x=6/5
x=6/5*5/2=3
So your answer is 3
Hope this helps
also can I plz have brainliest :)
A waiter earned a 7% tip. What decimal is equivalent to 7%?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
Answers
Help please! I’ll give brainliest too!
Answers
Answer:
y-intercept: -5
Slope: 4
Equation: y = 4x - 5
Step-by-step explanation:
✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:
y-intercept (b) = -5
✔️using two pairs from the table, (1, -1) and (2, 3):
[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 -(-1)}{2 - 1} = \frac{4}{1} = 4 [/tex]
Slope = 4
✔️To write an equation for the function, substitute m = 4, and b = -5 into y = mx + b.
Thus:
y = 4x +(-5)
y = 4x - 5
Find the 70th term of the following arithmetic sequence 4,12,20,28
Answers
Answer:
556
Step-by-step explanation:
formula
L = a + (n - 1)*d
Givens
n = 70
a = 4
d = 8
Solution
t = 4 + (70 - 1)*8
t = 4 + 69*8
t = 4 + 552
t = 556
Jada sells ground paprika.
Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed.
What is Jada's profit if she sells 60 kilograms of paprika?
Answers
Answer:
200
Step-by-step explanation:
Find 60 kilos then just follow the line up till you reach the blue line
750 is 150 percent of what?
Answers
Answer:
500
Step-by-step explanation:
you welcome!! can have brainliest?
Answer:
500
Step-by-step explanation:
HELP ASAP PLZ NEED IR SNDWWRED AS PAST AS POSSIBLE
Answers
Answer:
I would say, 2.5
Step-by-step explanation:
Because the calculator said 2.67
Please help me:):):)
Answers
Answer:
c - 8 ≥ 25
Step-by-step explanation:
Several large bowls are containing various amounts of tangerines on a table. When 12 of the bowls each had 8 more tangerines added to them, the mean (average) number of tangerines per bowl increased by 6. How many bowls of tangerines are on the table?
Answers
Answer:
4
Step-by-step explanation:
C(x) = 5x^2 + x + 7 and
d(x) = x^2 – 10
d(c(3))
Answers
Answer:
d(c(3))=30I5
Step-by-step explanation:
C(3)=5×9+3 +7=55
d(c(3))= ( 55)^2-10= 3O 15
help asap Its distributive property so 6x55 i need the second part how to write it out like
(and then) a number + some other number and then what it equals 5th grade math
Answers
Answer:
I don't know exactly what you need but I have two ways.
Step-by-step explanation:
if you need to make an example: 6x55+ 6(3f-12)= or something along those lines.
or if you just need that answer then 330
I'm sorry if that's not what you were wondering
A carnival sold 450 tickets on Saturday. The ticket sales showed that 126 of the ticket sales were adult tickets. What percent of the tickets sold on Saturday were adult tickets?!PLEASE ANSWER!!!
Answers
Answer:
28%
Step-by-step explanation:
hope this helps, have a good day
Help people help!!!!
Answers
Answer:
I think that it is
C
Please let me know if it is not correct!!!!
Answer:
A would most likly be the answer
Step-by-step explanation:
because in the equation sinse A = -5 1/4 which is whe he was at the end hopefully you understand
Need help on this one.
I JUST DONT WHAT TO DO IT
Answers
Answer: Bottom Left
Step-by-step explanation:
Answer:
bottom left
Step-by-step explanation:
cuz it makes sense
need help!!!!!!!!!!!!!!!!!!!
Answers
Answer:
-6x=64
Step-by-step explanation:
Answer:
64 -- 6 = x
( x equals 58 btw )
<3 Enjoy,
Dea
please help!! it’s due soon:(
Answers
Answer:
Step-by-step explanation:
AC ≅ AD ; BC≅ BD Given
AB ≅ AB Reflexive property of congruence
ΔACB ≅ ΔADB Side Side Side Postulate
ples halp ples tysm....
Answers
Edge 2020-2021 how is everyone’s day
Don’t worry about the one at the bottom BUT HELP MEEEEE
Answers
Answer:
e. 79/30 f. 18.2
Step-by-step explanation:
x-10x+1< 20+ 5x for x = -2
Help me please
Answers
Answer:
As the x=-2 does not satisfy the inequality.
Therefore, the solution is False!
Step-by-step explanation:
Given the expression
[tex]x-10x+1<\:20+\:5x\:[/tex]
substituting the value x = -2
[tex]\left(-2\right)-10\left(-2\right)+1<20+5\left(-2\right)[/tex]
[tex]-2+20+1 < 20-10[/tex]
[tex]19 < 10[/tex]
As the x=-2 does not satisfy the inequality.
Therefore, the solution is False!
The length of a picture frame is 1cm less than twice the width(frame is NOT a square). The area is 28cm^2. Find the length and width of the picture frame.
Answers
Answer:
length is 7cm, and the width is 4cm
Step-by-step explanation:
The length of a picture frame is 1cm less than twice the width(frame is NOT a square). The area is 28cm^2. Find the length and width of the picture frame.
The area of the frame = Length * Width
A = LW
If the length of a picture frame is 1cm less than twice the width, then;
L = 2W - 1
Substitute into the formula;
A = (2W-1)W
A = 2W^2 - W
28 = 2W^2 - W
2W^2 - W - 28 = 0
2W^2 - 8W +7W- 28 = 0
2W(W-4)+7(W-4) = 0
2W+7 = 0 and W - 4 = 0
W =- -7/2 and W = 4
Width cannot be negative
W = 4cm
Since A = LW
L = A/W
L = 28/4
L = 7cm
Hence the length is 7cm, and the width is 4cm