Write an equation for the line in point-slope and slope-intercept forms.
Passes through (3, 5) and has a slope of 5/3.
Answers
point-slope form: y-y₁ = m(x-x₁)
=============
[tex]\rightarrow \sf y - 5 = \dfrac{5}{3} (x-3)[/tex]
slope-intercept form: y = mx + b
============
[tex]\rightarrow \sf y - 5 = \dfrac{5}{3}(x)+ \dfrac{5}{3}(-3)[/tex]
[tex]\rightarrow \sf y - 5 = \dfrac{5}{3}(x)-5[/tex]
[tex]\rightarrow \sf y = \dfrac{5}{3}(x)-5+5[/tex]
[tex]\rightarrow \sf y = \dfrac{5}{3}(x)[/tex]
point slope form:-
y-y_1=m(x-x_1)y-5=5/3(x-3)3(y-5)=5(x-3)3y-15=5x-15Slope intercept form
y=mx+b
3y=5xy=5/3x+0Related Questions
A portion of the graph of f(x) = −x2 − 10x − 21 is shown. Which of the following describes all solutions for f(x)? a partial parabola opening down and passing through negative 7 comma 0 and negative 3 comma zero with endpoints at negative 8 comma negative 5 and negative 2 comma negative 5 (x, −x2 − 10x − 21), where −7 ≤ x ≤ −3 (x, y), where −7 ≤ x ≤ −3 (x, −x2 − 10x − 21), where −8 ≤ x ≤ −2 (x, y) for all real numbers
Answers
Let's solve for solutions i e zeros
-x²-10x-21=0x²+10x+21=0x²+7x+3x+21=0(x+7)(x+3)=0x=-7 OR -3Answer:
(x, −x2 − 10x − 21), where −8 ≤ x ≤ −2
Step-by-step explanation:
because x is greater then it.
What is the center of a circle represented by the equation (x 9)2 (y−6)2=102? (−9,6) (−6,9) (6,−9) (9,−6)
Answers
The center of the circle (x + 9)² + (y − 6)² = 10² is at (-9, 6) and the radius of the circle is 10 units.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
(x + 9)² + (y − 6)² = 10²
Then the center of the circle is at (-9, 6) and the radius of the circle is 10 units.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
A. (-9, 6)
Step-by-step explanation:
i did it B)
ABC ~ DEF. What sequence of transformations will move ABC onto DEF?
Answers
The transformation that is implemented is clockwise rotation by 270° about the origin and dilation by a scale factor of 1/2 .
The process of transformation an existing graph or equation into a new graph is known as graph transformation . The alteration of algebraic equations is a typical form of algebraic challenge.
A transformation modifies the graph of a parent function. Dilations, reflections, and translations are the three distinct types of transformation . The y-values of a function can be changed vertically, or the x-values can be changed horizontally (affects the x-values).
In the given figure we can see that the length of the side BC of the figure is 4 units, where as the length of the corresponding side in the image is
2 units . Hence the image is dilated buy a scale factor of 1/2 .
And from the transformation figure it is clear that the image has rotated either 270° clockwise or 90 ° counterclockwise.
Hence the second option on transformation is correct.
To learn more about transformation visit:
https://brainly.com/question/11709244
#SPJ1
Answer:
D). A dilation by scale factor of 1.2, centered at the origin, followed by a 270 clockwise rotation about the origin
Step-by-step explanation:
Sin p and cos p please with steps
Answers
Answer:
sin(P) = (√11)/6cos(P) = 5/6Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between side lengths and trig functions in a right triangle. It tells you ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
QR is the side opposite angle P. PR is the side adjacent to angle P. PQ is the hypotenuse of this triangle. Translated to the given triangle, the trig functions are ...
sin(P) = (4√11)/24 = (√11)/6
cos(P) = 20/24 = 5/6
Which of the following choices is the y-intercept of the equation -3x − 2y = 10?
Answers
y
=
m
x
+
c
--------------(1)
we have, 3x+2y=10
⇒
2y=10-3x
y=(10-3x)/2
y
=
5
−
(
3
2
)
x
on comparing the above equation with (1)
m=-3/2
c=5
Find the product of (–d e)(4e d). which statements are true? check all that apply. there are 2 terms in the product. there are 3 terms in the product. there are 4 terms in the product. the product is degree 1. the product is degree 2. the product is degree 4.
Answers
The product of the given expression is -3ed + 3e^2 showing that they contain two terms and the product has a degree of 2.
How to find the product of expressions?
Equations are expressions separated by an equal sign.
Given the following expression
(–d + e)(4e + d).
We are to take the product of both expressions.
Expand to have:
(–d + e)(4e + d) = -4ed - d^2 + 4e^2 + de
(–d + e)(4e + d) = -3ed + 3e^2
Hence, there are two terms in the solution and the product is degree 2.
Learn more on the product of expression here: brainly.com/question/1852123
Answer:
B and E
Step-by-step explanation:
Complete the table of values below so that it represents a line with a constant rate of change of `-\frac{3}{4}.`
Use the empty sketch area for any figuring you do.
Then, explain how you know your table values are correct.
Answers
To find values of the table, plug in the given corresponding values of x or y, and constant rate of change (m) = -3/4 into y = mx.
What is the Constant Rate of Change?Constant rate of change of any table or function is a comparison of how two variables are changing, which can be determined using the formula, m = change in y/change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
Where x and y are the coordinates of a table or functions, and m is the constant rate of change, the equation that models the relationship would be, y = mx.
The image of the table is missing, however, to complete the given table, plug in any of the given values of x or y, and constant rate of change (m) = -3/4 into y = mx.
Learn more about constant rate of change on:
https://brainly.com/question/10866779
Consider a population of students, where 55% of them are good students. If were were to take a sample of 40 students, what is the probability of greater than 21 of the students being good?
Answers
Answer:
11/20.I am not so sure but guessed it
Why did the 1979 iran hostage crisis happen?
Answers
yes it is uses in1979 there ie big tsunami
Answer:
the American Embassy in Tehran was overrun and its employees taken captive.
Step-by-step explanation:
What is the quotient?
5^-6/5^3
Answers
Heyo!
SaddySokka is here to help!!
Let's do this step-by-step explanation!
[tex]=\frac{5^-^6}{5^3}[/tex]
[tex]=5^-^6^-^3[/tex]
[tex]=5^-^9[/tex]
[tex]=\frac{1}{5^9}[/tex]
Answer:
A. [tex]\frac{1}{5^9}[/tex]
Hopefully, this helps you!!
Have a great day!!
SaddySokka~
Delta Math
(Brainlist if right :)
Answers
Answer:
123°Step-by-step explanation:
It is assumed GE and DA are parallel
EFH and FCA are same side interior angles and therefore supplementary
m∠EFH + m∠FCA = 180On the other hand, ∠HBA is exterior angle of triangle CHB, so it is
m∠HBA = m∠FCA + m∠CFB143 = m∠FCA + 90m∠FCA = 147 - 90m∠FCA = 57Now, find the value of m∠EFH
m∠EFH + 57 = 180m∠EFH = 180 - 57m∠EFH = 123<C
147-90[Sum of interiors=Exterior]57°Now
<C+<EFH=180
<EFH
180-57123°Triangle LMN is similar to triangle OPQ. Find the measure of side PQ. Round your answer to the nearest tenth if necessary.
Answers
The measure of PQ if the triangle LMN is similar to triangle OPQ is 69.4
What are similar triangles?Similar triangles are triangles that have equal sides and angles. The ratio of the similar sides is a constant.
According to the triangle given:
PQ/17 = OQ/LM
PQ/17 = 49/12
12PQ = 833
PQ = 69.4
Hence the measure of PQ if the triangle LMN is similar to triangle OPQ is 69.4
Learn more on similar triangles here: https://brainly.com/question/2644832
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
x= 26°
Step-by-step explanation:
it's a 90 degree angle as a whole so just subtract 64° from 90° to get the other angle.
Answer:
x=26
A line is 180 degrees
the square at the bottom left means 90 degrees
90+64=154
180-154=26 degrees
Kendra wants to crochet a blanket for her new baby cousin. Her pattern calls for 900 yards of thick, soft wool. She already has 200 feet of wool left from another project. At the craft store, she notices that each ball has 500 feet of wool. How many balls of wool should she buy?
balls of wool
Answers
1 yard = 3 feet
900 yards x 3 = 2,700 feet needed
subtract what she has:
2700-200 = 2,500 feet more needed
2,500 / 500 = 5 balls needed
answer: 5
HELP PLEASE!!!!
Why is the statement incorrect that probability can be used to predict the result of an activity?
Answers
Answer:
I'm going to need a picture of more explanation
5/6 × 9/10 =
A. 14/16
B. 15/30
C. 45/60
D. 50/54
Answers
Answer:
i believe the answer is c
Step-by-step explanation:
Answer:
c) 45/60
Step-by-step explanation:
Given problem,
→ 5/6 × 9/10
Let's solve the problem,
→ 5/6 × 9/10
→ (5 × 9)/(6 × 10)
→ 45/60
Hence, option (c) is correct.
Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.
Answers
30.28 Square Units
[tex]\bold{EXPLANATIONS:}[/tex]
HELP I'll GIVE BRAINLIEST Tim was 27 years old 9 years ago. Which equation will tell you how old he is now? A) x + 9 = 27 B) x − 9 = 27 C) x + 9 = −27 D) x − 9 = −27
Answers
Answer: B
Step-by-step explanation:
x -9 will get you 27 (36 is the answer), but you can try every answer and see which one makes sense, as B is the only one that makes sense (D would have been the answer if it was the absolute value which is B)
The total length of a road trip was 18. 2 hours. If highway signs are posted every 0. 07 hours, including one at the end of the road trip, how many highway signs will there be on the road trip? HELPPPPPPP ME!
Answers
Answer:
260
Step-by-step explanation:
18.2 hours / sign every 0.07 hours = 260 signs passed
What is Limit of (x cubed + 3 x squared + 4 x minus 12) as x approaches negative 3? –78 –24 30 54
Answers
All polynomials are continuous, so the limit can be evaluated by direct substitution:
[tex]\displaystyle \lim_{x\to-3} (x^3+3x^2+4x-12) = (-3)^3+3(-3)^2+4(-3)-12 = \boxed{-24}[/tex]
The Limit of (x cubed + 3 x squared + 4 x minus 12) as x approaches negative 3 is -24.
What are polynomials?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
All polynomials are continuous, so the limit can be evaluated by direct substitution:
[tex]\lim_{x \to {-3}} x^3 + 3 x ^2+ 4 x - 12\\\\= (-3)^3 + 3 (-3)^2+ 4 (-3)- 12\\\\= -24[/tex]
Learn more about prime polynomials here:
https://brainly.com/question/10717989
#SPJ2
Help!! I need to pass this class by the end of this week!!!!
Answers
Answer:
It's not clear can you show clearly
Answer: c
Step-by-step explanation:
Hey everybody how are you doing do you have any plans for Easter? What is your favorite holiday or book? What is your favorite subject in school do you like school?
Answers
Answer:
hey i am doing god how are you and i dont know what i am doing for easter. My favorite holiday is christmas and easter. My favorite subjects in school are math and reading. I love school.
Step-by-step explanation:
Find the Area of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
Answers
Step-by-step explanation:
The area of rectangle is given by
Ar=lw
Area of semi circle is given by
Since there are two semi-circles then the area will be
I keep trying but it won't accept my answers for some reason I think I'm doing it wrong
Answers
Answer
In the box, put "12" shots attempted.
Step-by-step explanation:
I learned this already and I am 100%it is correct. btw i love basketball.
Please help me with this problem! Also, please stop posting scam links under my questions.
Answers
Answer:
the second option is correct, the one that you picked
Step-by-step explanation:
this make no sense:
find the distance between the pair of points.
(2, 0) and (-1, 1)
A. 0
B. 2
C. 1.4
D. 3.2
Answers
Answer:
D is correct.
Step-by-step explanation:
Hoped this helped!
Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!
Answer:
3.2
Step-by-step explanation:
Distance forumla
[tex]y = \sqrt{(x1 - x2)^2 + (y1-y2)^2}[/tex]
[tex]y = \sqrt{(2 - (-1))^2 +(0-1)^2} \\ y = \sqrt{10} \\y = 3.2[/tex]
5. If your father earns Rs. 40,000/-, mother earns Rs. 35,000/- and your brother earns Rs. 25,000/- per month and your friend's father earns Rs. 45,000/-, mother Rs.30,000/- and brother earns Rs. 15,000/- then whose monthly income is more and by what percent.
Answers
Answer:
✏The correct option is B Rs 73,333
Per capita income is the sum of all income sources, divided by the total number of people. Here the gross income of the family is = Rs (1,80,000+ 40,000) = Rs 2,20,000, the pocket money won't be added as it is an expense for the family. Then the per capita income of the family= Gross income / 3 (as the family has three members) = Rs 73,333.
Step-by-step explanation:
Percent is a relative quantity. Earning of our family is more than our friend's family (on monthly basis), by 11.11% approximately. (compared to friend's family's monthly income)
How to find how much percent 'a' is of 'b'?Percent is a relative quantity, as it is the measure of one quantity per 100 units of other quantity.
Suppose a number is 'a'Suppose another number is 'b'We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
For this case, we're specified that:
For our family:
Income of father = ₹ 40,000Income of mother = ₹ 35,000Income of brother = ₹ 25,000Total monthly income = ₹(40000 + 35000 + 25000) = ₹100,000
For friend's family:
Income of father = ₹ 45,000Income of mother = ₹ 30,000Income of brother = ₹ 15,000Total monthly income = ₹(45000 + 30000 + 15000) = ₹90,000
Thus, we see that friend's family's monthly is monthly ₹10,000 less than our family's monthly income.
We need to find how much percent this ₹10,000 is of their family because we need to find by how much percent our family's income is more than the friend's family's monthly income (so comparison is with respect to the monthly income of friend's family).
Let P be the percent the ₹10,000 is of the amount ₹90,000
Then, we get:
[tex]P = \dfrac{10000}{90000} \times 100 = \dfrac{100}{9} \approx 11.11 \%[/tex]
Thus, earning of our family is more than our friend's family (on monthly basis), by 11.11% approximately. (compared to friend's family's monthly income)
Learn more about percent here:
https://brainly.com/question/11549320
Check your solution t-7=2
Answers
t-7+7=9
t=9
The answer is 9 hope that helps in some way
Please help me on this!!
Answers
Answer:
Pretty sure it's "only i"
Step-by-step explanation:
A constant rate of change means that something changes by the same amount during equal intervals.
$30 is the same amount whereas 10% could vary.
Hope this helps.
The ratio of rides to games at the fair is 3 to 4. If there are 27 rides at the fair, how many games are there?
Answers
Answer: 36
Step-by-step explanation: Ratio 27:36 is also 3:4
Answer:
36 games
Step-by-step explanation:
since the ratio is 3:4 we must get what the original is.
27/3=9
27+9=36
27:36