What is the equation of the line that passes through the point (2,0) and has a slope of 5/2 ?
Answers
Answer:
y = [tex]\frac{5}{2}[/tex] x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{5}{2}[/tex] , thus
y = [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = 5 + c ⇒ c = 0 - 5
y = [tex]\frac{5}{2}[/tex] x - 5 ← equation of line
The equation of the line is the way of represent the line by the given point in the coordinate plane and the its slope.. Thus the equation of the line with point (2,0) and slope 5/2 is,
[tex]y=\dfrac{5}{2} x-2[/tex]
Given information;
The point of the line through which the line passes are (2,0).
The slope of the line is 5/2.
Equation of the lineThe equation of the line is the way of represent the line by the given point in the coordinate plane and the its slope.
The standard form of the equation of the line for point and slope can be given as,
[tex](y-y_1)=m(x-x_1)[/tex]
Put the values,
[tex](y-0)=\dfrac{5}{2} (x-2)[/tex]
Solve it further;
[tex]y=\dfrac{5}{2} x-2[/tex]
Thus the equation of the line with point (2,0) and slope 5/2 is,
[tex]y=\dfrac{5}{2} x-2[/tex]
learn more about the equation of the line here;
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Related Questions
A football team loses 6 yards on its first play. On the next play, the team gains 3 yards.
Which inequality(ies) compare(s) the yardage values correctly? Select ALL that apply.
0 -6> 3
0 -6<3
0 -6<-3
O 3<6
♡ 3-6
? 3<.6
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help me please, thx
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Answer:
C.
F.
Please mark brainliest hit the crown thanks :)
What is the slope of the line in the graph?
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Answer:
My answer would be y=2x+1
Step-by-step explanation:
What is 8.89 × 1010 in standard notation?
Answers
Answer:
8978.9
Step-by-step explanation:
MULTIPLY THE THE GIVEN AND
8.89 × 1010 = 8978.9
THEN THE RESULT WOUD BE THE STANDARD NOTATION.
3. During a particular year, 42 graduating boys chose to attend a 4-year college,
while 58 boys attended a 2-year college; 84 girls chose a 4-year college, and 16
attended a 2-year college. What conclusion can be drawn about how gender and
choice of college are related?
Answers
Answer:
girls are more likely to choose a 4-year college, while boys are more likely to choose a 2-year college
Step-by-step explanation:
hope this helps :]
Find each unit rate. Determine which is lower. Drag and drop the correct rate or letter into each of the boxes to complete the sentences. Ingredient C: 1/5 cup for 3/4 serving or Ingredient D: 1/4 cup for 4/5 serving.
Answers
Answer:
4/15 < 5/16
Ingredient C < Ingredient D
Hence ingredient C has a lower cup per serving than ingredient D
Step-by-step explanation:
Given the unit rates :
C: 1/5 cup for 3/4 serving or Ingredient
D: 1/4 cup for 4/5 serving
C : 1/5 cup for 3/4 serving
1/5 ÷ 3/4
1/5 * 4/3
= 4 / 15
= 0.2667
D: 1/4 cup for 4/5 serving
1/4 ÷ 4/5
1/4 * 5/4
= 5 / 16
= 0.3125
5/16 > 4/15 ;
Ingredient C < Ingredient D
Hence ingredient C has a lower cup per serving than ingredient D
The speed of a train increases from 650 km/hr to 800 km/hr in 5 hours. What is its acceleration?
Answers
Answer:
\overline{a} = \frac{v - v_0}{t} = \frac{\Delta v}{\Delta t}
Step-by-step explanation
i do not really understand but use this formula
= average acceleration
v = final velocity
v_0 = starting velocity
t = elapsed time
Select the word or number that correctly completes each sentence.
When simplified completely, the product of a monomial and a monomial is
a monomial.
When simplified completely, the product of a monomial and a binomial is
a trinomial.
When simplified completely, the product of a binomial and a binomial is
a monomial.
Before being simplified completely, the product of a binomial and a trinomial has
terms.
what is the answer to the questions?
Answers
1. always
2. never
3. never
4. 6
When simplified completely, the product of a monomial and a monomial will be a monomial. Then the correct option is A.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
Let's check all the options, then we have
A. When simplified completely, the product of a monomial and a monomial is a monomial.
⇒ a × b
⇒ ab
B. When simplified completely, the product of a monomial and a binomial is a trinomial.
⇒ (a)(b + c)
⇒ ab + ac
C. When simplified completely, the product of a binomial and a binomial is a monomial.
⇒ (a + b)(c + d)
⇒ ac + ad + bc + bd
D. Before being simplified completely, the product of a binomial and a trinomial has terms.
⇒ (a + b)(c + d + e)
⇒ ac + ad + ae + bc + bd be
When simplified completely, the product of a monomial and a monomial will be a monomial. Then the correct option is A.
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Write an algebraic equation that models the following statement.
Twice the sum of 'x' and '4' is six less than the quotient of 'q' and '9'.
Answers
The slash represents a division sign.
Brainiest to the first CORRECT answer
Answers
Step-by-step explanation:
(9.16 * -30)= -27.48
(5.5 x 160)° 880
Danica is saving money to buy a used car in six months. She needs to save $1500 for a down payment in order to be able to finance the rest. She gets paid $180 per week at her part-time job. How much money will she need to save out of every weekly paycheck to reach her savings goal of $1500 in six months? Show the calculations:
Answers
Answer:
$62.5Step-by-step explanation:
Step one:
Given data
Danica's goal is to save $1500
her pay is $180 weekly.
the duration is 6months
in a month we have 4 weeks
in 6months there are 6*4= 24 weeks
Step two:
In 24 weeks Danica's earnings will be 24*180= $4320
nevertheless, she only needs $1500 for the 24 weeks to make the down payment
So per week, she will need to save 1500/24= $62.5
3g - 5 = 17
Help plz
Answers
Answer:
g = 7 1/3
Step-by-step explanation:
Add 5 to both sides so it cancels out. 3g = 22Divide both sides by 3. g = 7.333...7.333... and 7 1/3 are equivalent, so just put either one.
A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angle to the bottom left interior angle is (5 k minus 3) degrees.
What is the value of k?
Answers
Answer:
The person above meh
Step-by-step explanation:
Answer:
b. 29
Step-by-step explanation:
CAN SOMEONE HELP ME
Answers
Hope this helped
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.4 gallons in the 14-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.90 per gallon. How much did Irene spend on gas?
Answers
Answer:
$24.96
Step-by-step explanation:
Total number of gallons irede had in his tank = 6.4gallons
Price per gallon is $3.90
To get the cost of 6.4gallons;
If 1 gallon = $3.90
6.4gallons = $x
Cross multiply
1 * x = 3.90 * 6.4
x = 24.96
Hence Irene spent $24.96 on gas
Mia bought 8 copies of the same book. She spent $32.
What was the cost of one book?
Answers
Answer:
rhe cost of one book was $4. 32/8=4
Step-by-step explanation:
32÷8=4 so mia spent 4 dollars
Will give brainliest if correct
A student has grades 84, 91, 78, and 74. He will have one more test. If they are all weighted equally, what must he earn in order to average at least an 83 for the course, so he can earn a B?
Enter his minimum test grade. ___
Answers
Answer:
88
Step-by-step explanation:
Question 2 of 10
A cell membrane is very specific about what it allows across. How does this
help the cell?
A. It helps the cell absorb as many different molecules as possible.
B. The cell works better when it contains fewer proteins.
C. It is better for the cell if most molecules are prevented from
entering
D. Transport proteins allow only enzymes to pass through the
membrane.
SUBMIT
PREVIOUS
Answers
Answer:
I beleive the answer is C
Step-by-step explanation:
Correct me if im wrong, but im pretty sure c is the most logical answer, next to D
How far 75% of 2000 km trip
Answers
Answer:
1,500
Step-by-step explanation:
Hope I helped
Given m|n, find the value of x.
(8x+6) (9x-30)
Answers
Step-by-step explanation:
(8x+6) (9x-30)
=72x²-240x+54x-180
=72x²-186-180
Answer:
(8x+6) (9x-30)
=72x²-240x+54x-180
=72x²-186-180
Step-by-step explanation:
A slug travels 3 centimeters in 3 minutes. A snail travels 6 centimeters in 6 minutes. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai's reasoning
Answers
Answer:
No
Step-by-step explanation:
If you find the rate, they are the same.
3 minutes/3= 1 minute
3cm/3= 1 cm
Slug= 1 cm per minute
6 minutes/6= 1 minute
6cm/6= 1 cm
Snail= 1 cm per minute
can someone please help me
Answers
Answer
7 or 5 or both
Step-by-step explanation:
so first, you know it has to be 7 or 5 because all the other numbers are already on the chart and it M was that then you would get the same output value. now you figure out the equation. thats all I can help you with because I am dumb but hope you can figure out the equation.
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
A. (−2, −8)
B. (−8, −2)
C. (6, −10)
D. (−10, 6)
Thank you if you can help me!
Answers
If y-x=6
Y +X =_10
then y= 6 + x, instead of y insert this no
6+ x+ x =-10
6 + 2x =-10 then collect like terms
2x =-10-6
2x=-16 then multiple both side by 1/2
X=-8
Y=6+x instead of x insert -8
Y=6-8
=-2
Compare data set A and data set B.
Set A: mean = 79.6, standard deviation = 9.8
Set B: mean = 79.6, standard deviation = 2.3
Answers
Answer:
Set A: mean = 79.6, standard deviation = 9.8
Step-by-step explanation:
Set A has a larger spread of data.
If Set A: mean = 79.6, standard deviation = 9.8 and Set B: mean = 79.6, standard deviation = 2.3 then set A has larger spread of data compared to set A.
What is Statistics?Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
Given,
Set A:
mean = 79.6,
standard deviation = 9.8
Set B:
mean = 79.6,
standard deviation = 2.3
As we compare both set A and set B the mean of set A and set B are same whereas set A has more standard deviation than set B.
As Standard deviation is an important measure of spread or dispersion.
if the standard deviation is small, then this tells us that the results are close to the mean, whereas if the standard deviation is large, then the results are more spread out.
Set A has a larger spread of data.
Hence Set A has larger spread of data compared to set A.
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A firefighter needs to lean a ladder against a wall of a building to reach a window. How far away from the base of the building should he/she place the foot of the ladder? Ladder is 25 feet long, window is 23.8 feet high in the building.
Answers
Answer:
7.7 feet
Step-by-step explanation:
Let the distance from the base of the building to the foot of the ladder be represented by x. Ladder is 25 feet long, while window is 23.8 feet high.
The length of the ladder, the height of the window and the distance from base of building to foot of ladder describes a right angled triangle.
Thus, applying the Pythagoras theorem;
[tex](25)^{2}[/tex] = [tex](23.8)^{2}[/tex] + [tex]x^{2}[/tex]
625 = 566.44 + [tex]x^{2}[/tex]
625 - 566.44 = [tex]x^{2}[/tex]
58.56 = [tex]x^{2}[/tex]
⇒ x = [tex]\sqrt{58.56}[/tex]
= 7.653
The foot of the ladder should be placed 7.7 feet away from the base of the building.
what is the answer?
Answers
Answer:
(2/5, 26/5)
Step-by-step explanation:
Help please! Thanks!
Answers
Answer:
50
Step-by-step explanation:
120 +angle1 = 180 angle 1 is 60 70+60+angle2 should be equals 180 so 2 is 50 degree
1 is 60 degree 3 is 80 degree 4 is 100 degree 2 is 50 degree
60+40 +angle3 = 180 angle3 is 80
3+4 should be equal 180 3 is 80 180-80= 100 4 is 100
Write an equivalent multiplication expression. Then, find the quotient in its simplest form. Use a model to support your response. 1 4 ÷ 2 and 2 3 ÷ 6
Answers
Step-by-step explanation:
Let the integers be a, b and c. To model the expression generally;
[tex]\dfrac{a}{b} \div c = \dfrac{a}{b} \times \dfrac{1}{c}\\= \dfrac{a}{bc}[/tex]
Using the model to solve the following expression given
a) [tex]\dfrac{1}{4} \div 2[/tex]
[tex]= \dfrac{1}{4} \times \dfrac{1}{2}\\= \dfrac{1}{4*2}\\= \dfrac{1}{8}[/tex]
b)
[tex]= \frac{2}{3} \div 6 \\= \dfrac{2}{3} \times \dfrac{1}{6}\\= \dfrac{2}{3*6}\\\\= \dfrac{2}{18}\\= \dfrac{2}{9}[/tex]
(x+2/3)=(2x-4/2)
what is x equal to?
Answers
2/3 + 4/2 = 2x - x
2 + 2/3 = x
8/3 = x
I hope this helps!
The lines below are parallel. If the solid line has a slope of 1, what is the
slope of the dashed line?
Answers
Answer:
The lines below are parallel. If the slope of the solid line is –3
Step-by-step explanation: