Find the Equation of the line that goes through (2,7) and (-1.1)
*Graphically and Algebraically
Answers
Answer:
y=2x+3
Step-by-step explanation:
See attached worksheet.
Guidelines are presented on how to both graphically and mathematically solve for the equation.
Graphing: Mark the the two given points and connect them with a ruler to form the line. These same two points may be used to determine the slope, as is shown. The slope is 2. The line intersects the y axis at 3, so the y-intercept is 3. Using the standard form of an equation, the line is y = 2x + 3, as is outlined in the attachment.
The same line is determined mathematically by using the same technique for calculating slope. The value of the y-intercept may be found by using one of the two given points in the equation that has the slope of 2:
y= 2x +b
Enter pont (-1,1), for example, and calculate the value of b. b = 3, (since 1 = 2*(-1)+ b, so b=3).
The equation of this line is y=2x+3
Related Questions
What are the coordinates of the image after a dilation
with the center at the origin and a scale factor of 2?
(0, 0) (10, 0) (10,4) (0, 4)
(-2.2) (8, 2) (8.-2) (-2,-2)
(1, 1) (6, 1) (6, 3) (1, 3)
(0, 0) (0, 2) (5.0) (5,2)
Answers
Explanation:
The scale factor 2 means we multiply the coordinates of every original point by 2. A point like (-1,1) moves to (-2,2) after doing so
As another example, (4,1) moves to (8,2) after multiplying both coordinates by 2.
Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.
Answers
Answer:
76
2 real solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0
Discriminant: b² - 4ac
Positive - 2 solutions Equal to 0 - 1 solution Negative - No solutions/ImaginaryStep-by-step explanation:
Step 1: Define
x² - 6x - 10 = 0
Step 2: Identify Variables
Compare quadratic.
x² - 6x - 10 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = -10
Step 3: Find Discriminant
Substitute in variables [Discriminant]: (-6)² - 4(1)(-10)[Discriminant] Evaluate exponents: 36 - 4(1)(-10)[Discriminant] Multiply: 36 + 40[Discriminant] Add: 76This tells us that our quadratic has 2 real solutions.
Whats 8 2.5% of 75?Write your answer as a decimal.
Answers
7
8
Decimal =
0.875
Explanation:
The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won't stagger when you see these type of questions in exams (like the SAT).
Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.
What
=
Any variable like
x
Percent / Percentage / %
=
Divide by 100
of
=
Multiply
is
=
Put an equal to (
=
) sign
I'll give you an example through a question.
What percent of 200 is 5?
Ans: Replace English words by mathematical tools according to the rules I told you.
x
( What) /100 ( percent)
×
( of) 200
=
( is) 5
In a refined form,
x
100
×
200
=
5
Calculate x. On calculating, x comes out to be
2.5
So, 2.5 percent of 200 is 5.
Now your question is actually very simple if you follow my rules.
You want 87.5%. By the rules, % means divided by 100. So
87.5
%
=
87.5
100
and now using the same strategy, Ans:
875
1000
Disregard the next section if you know how to convert a decimal to a fraction
Section Starts
First, I'll write the decimal form. Whenever you divide by a number that is in form of 1 followed by
n
number of zeroes. (here 1 is followed by 2 zeroes), you should shift the decimal point to the left side by n places.
In this case, shift decimal point in 87.5 to the left by 2 places. So this becomes 0.875.
This is the answer in decimal point.
Now simultaneously, I'll teach you how to convert a decimal into a fraction.
Here, you see 2 types of "numbers". One to the left side of the decimal point and one to the right side of the decimal point.
Here, left side of decimal point is 0 and right side of decimal point is 875.
Count the number of digits in the number to the right side of the decimal point (Here, the number of digits is 3)
Remove the decimal point and divide the number by a number formed by 1 followed by the "digits" we obtained (i.e. 3).
So, 875/1000. Simplify this, and you get your answer.
Which of the following are properties of the circumcenter of a triangle? Check
all that apply.
A. The circumcenter is at the intersection of the perpendicular
bisectors of the triangle's sides.
B. The circumcenter of an obtuse triangle is always outside it.
M C. The circumcenter is equidistant from each vertex of the triangle.
D. The circumcenter is equidistant from each side of the triangle.
Answers
Answer: A. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.
C. The circumcenter is equidistant fromeach vertex of the triangle.
D. The circumcenter is equidistant from each side of the triangle.
Step-by-step explanation:
The properties of the circumcenter of a triangle from the options given include:
• The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.
• The circumcenter is equidistant fromeach vertex of the triangle.
• The circumcenter is equidistant from each side of the triangle.
Option B is wrong as the circumcenter of an obtuse triangle is not always outside it. For the circumcenter, there is intersection of all the three lines and it's not important that they should always be outside.
In ΔTUV, t = 410 cm, ∠U=27° and ∠V=78°. Find the length of v, to the nearest 10th of a centimeter.=
Answers
Answer: 415.2
Step-by-step explanation:
Given the following parallelogram: Solve for x.
7x + 70
16x - 20
Answers
Answer:
x=10
Step-by-step explanation:
7x+70=16x-20
70=9x-20
9x=90
x=10
Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks.
He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
How much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.
15 1/3, 5 1/4, 5 2/3, x, =, and +.
The equation that represents the problem is
a. 15 1/3 = x - 5 1/4 - 5 2/3
b. x = 15 1/3 + 5 1/4 + 5 2/3
c. x + 15 1/3 = 5 1/4 + 5 2/3
d. 15 1/3 = 5 1/4 + 5 2/3 + x
Answers
Answer: d. 15 1/3 = 5 1/4 + 5 2/3 + x
Step-by-step explanation:
15 1/3 (total) = 5 1/4 (first week) +5 2/3 (second week) +x (third week)
When you add the amount of time Rodrigo practiced each week, you get the total amount of time he practiced
what's [2+(2x3)]x5.
Answers
x * 5 * 25 * 4 ÷ 5, if x = 813 simplified form please
Answers
Answer:
81,300
Step-by-step explanation:
These two figures are the image and pre-image of a
dilation.
Find the value of x.
4 m
6 m
4 m
6 m
8 m
9 m
6 m
Answers
Answer:
4m i think it sounds about right
Answer: the answer is 9m or D
Step-by-step explanation:
The diagram shows two right-angled triangles. PQR and QST are straight lines. It is given that sin x = [tex]\frac{15}{17}[/tex] . Find the value of cos y.
Answers
Step-by-step explanation:
[tex] \sin(x) = \frac{15}{17} = \frac{23 + c}{34} \\ 34 \times 15 = 17(23 + c) \\ 510 = 391 + 17c \\ 17c = 119 \\ c = 7[/tex]
[tex] \sin (y) = \frac{7}{25} \\ y = 16.26 \\ \cos(16.26) = \frac{ \alpha }{25} \\ 0.96 = \frac{ \alpha }{25} \\ \alpha = 24 [/tex]
[tex] \cos(y) = \frac{24}{25} [/tex]
???
[tex]( \frac{ {2x}^{3} }{ {8y}^{ - 4} }) ^{ - 3} [/tex]
Answers
Answer:
I'm not sure
Step-by-step explanation:
Sorry
help please
4 − ( −12) + ( −7) =
Answers
............................................9
2/3n+1/2=3/4 I need this fast pls
Answers
Answer:
n = ⅜
Step-by-step explanation:
Answer: n = 1/6
Step-by-step explanation:
2/3n + 1/2 = 3/4
-1/2 -1/2
2/3n = 1/4
multiply both sides by 2/3
n = 1/4 *2/3
n = 2/12
reduce
n = 1/6
(2, 0); y > x – 5
y < 2x + 1
Y <-X + 3
tell whether the ordered pair is a solution of the system of linear inequalities
Answers
Answer:
ang hirap pag aralan mo po muna
convert 5.70 lbs to grams and explain please help
Answers
Answer:
2585.48.
Step-by-step explanation:
The formula to convert pounds to grams is to approximately multiply 5.70 by 454, which is equal to 2585.48.
James has 838 feet of rope. There are 17 teams of hikers. If James gives an equal amount of rope to each team, how much rope will each team receive?
Answers
Answer:
838 ÷ 17 = 49.29 feet each
Step-by-step explanation:
divide the total rope by number of hikers equals amount of rope each hiker will receive.
help please I cant figure this put
Answers
Answer:
C
Step-by-step explanation:
Because the circle is not shaded in, it doesn't count the number it's on:
So it would be a < or >.
Because this is on a number line and the shaded part goes to the left, it will be < because it points to the left.
The non-shaded circle is on 4, so your answer, x, will be:
x < 4
But the answer choices don't have this, meaning you have to simplify all of them.
The first one is:
x + 9 < 5
x < -4
x - 5 < 9
x < 14
x + 5 < 9
x < 4
x - 9 < 5
x < 14
So it would be C.
Solve for x and show work need help just stuck on this one ☝
Answers
Answer:
X=11
Step-by-step explanation:
6 x 11 is 66, after adding 2 its 68. They are equal because they are vertical angles :)
Answer:
11
Step-by-step explanation:
I did:
68 - 2= 66
66 divided by 11= 6
To check my work I did:
6 * 11= 66
66 + 2= 68
Hope this helps!
Which of the following correctly describes the product below?
A.
irrational
B.
rational
C.
a combination of both rational and irrational
D.
neither rational nor irrational
Answers
Answer:
C is the answer your looking for
Mr. Alvarez makes a walkway of 3 cement slabs.He uses 14 cubic feet of cement to make the walkway.Each square slab has a volume of 4 cubic feet
Answers
Answer:
I suppose that you want to see how we can find the volume of each individual slab with the given information, the procedure is as follows.
The walkway has 3 cement slabs,
He uses a total amount of 14 cubic feet to make the complete walkway.
This means that the 3 cement slabs together have a total volume of 14 ft^3
To find the volume of each slab, we need to find the quotient between the total volume and the total number of slabs, then we get:
Volume of each slab = (14 ft^3)/3 = 4 ft^3
This means that each cement slab has a volume of 4 ft^3.
Answer:
6 ft^3
Step-by-step explanation:
Question 6 (2 points)
The parabola is in intercept form.
y=(x+1)(x+7)
The vertex is
Blank 1:
Blank 2:
Answers
Answer:
Blank 1: (-7,0)
Blank 2: (-1,0)
Step-by-step explanation:
Plug x=0 into the equation and solve the resulting equation y=7 for y
Plug y=0 into the equation and solve the resulting equation 0=(x+1)(x+7) for x
Sara says, "If you subtract 17 from my number and multiply the difference by - 2,
the result is - 22." What is Sara's number?
Answers
Answer: 28
28 - 17 = 11
11 * -2 = -22
(x-17)/2=-22
Multiply 2 by both sides
x-17=-44
Add 17 to both sides
x=-27
PLZZ HELP ME IM DOING A TEST RNNNN.
Answers
Answer:
5(x)+5(y)=10
10(x)+2(y)=12
Step-by-step explanation:
i just got done with that same thing
3.
Which equation best describes the graph?
A. y = 2x + 3
B. y = 1/2x + 3
C. y = 1/2x – 3
D. y = 2x – 3
Answers
Answer:
Its C
Step-by-step explanation:
The y starts at negative 3 and it is going up by 1 and over 2
Hope this Helped
Answer:
C. y = 1/2x - 3
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
2
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
6
0
please help me with this
Answers
Answer: B
Step-by-step explanation:
The width A rectangle is 3 cm less then its length. The perimeter of the rectangle is 30 CM. Find The length and width of the rectangle
Answers
w = l - 3
w = 9 - 3
w = 6
//
l = 9
w = 6
//
p = 2(9) + 2(6)
p = 30
The slope is 2.92, which shows a positive relationship because it is a positive number. The
longer a person’s hair, the more it will cost to get the hair highlighted. This makes sense, as
more product is required to highlight more hair.
Answers
You buy 5 candy bars for $2.00. Find the cost of 18 candy bars? First
write a proportion to find the unit rate(price per one candy bar). Then use
the unit rate to to find the cost of 18 candy bars?
Answers
Answer- $7.50
Step-by-step explanation: edg
Consider the polynomial function h(x) = x^6 - 3x^5 - 17x^3
What is the end behavior of the graph of h?
Choose 1 answer:
PLEASE HELP
Answers
Answer: As x -> positive infinity, h(x) -> positive infinity, and as x -> negative infinity, h(x) -> positive infinity
Step-by-step explanation:
Khan Academy!! Hope this helps :)