Write an equation in point slope form for the line through the given point with the given slope (7,-9);m=4/5
Possible answers in pic
Answers
The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We have m = 4/5 and the point (7, -9). Substitute:
[tex]y-(-9)=\dfrac{4}{5}(x-7)\\\\\boxed{y+9=\dfrac{4}{5}(x-7)}[/tex]
Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope. Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,
[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]
Hence, the option 2 is the correct option.
Given Information-The line passes through the point (7,-9).
The slope of the line is 4/5.
Equation of the line-Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope.
The standard form of the equation of the line can be given as,
[tex](y-y_1)=m (x-x_1)[/tex]
Here m is the slope of the line.
Thus, the equation of the line passes through (7,-9) having the slope 4/5 can be given as,
[tex](y-y_1)=m (x-x_1)[/tex]
Put the values,
[tex](y-7)=\dfrac{4}{5} (x-(-9))[/tex]
[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]
Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,
[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]
Thus the option 2 is the correct option.
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Related Questions
equation using the quadratic fromula for 0.05x^2 + 1.1x = 250
Answers
Answer:
x=60.56, x=-82.56
Step-by-step explanation:
Solve using quadratic formula
Formula is
[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
0.05x^2 + 1.1x = 250
Subtract 250 on both sides
0.05x^2 + 1.1x - 250=0
a= 0.05, b=1.1 , c=-250
Plug in the values in the formula
[tex]x=\frac{-1.1+-\sqrt{(1.1)^2-4(0.05)(-250)}}{2(0.05)}[/tex]
[tex]x=\frac{-1.1+-7.156116265}{0.1}[/tex]
Now make two equations , one with + and one with -
then we solve for x
[tex]x=\frac{-1.1+7.156116265}{0.1}[/tex]
x=60.56
[tex]x=\frac{-1.1-7.156116265}{0.1}[/tex]
x=-82.56
The solutions for (x) are approximately [tex]\(x_1 \approx 47.5\) and \(x_2 \approx -549.5\).[/tex]
To solve the equation \(0.05x^2 + 1.1x = 250\) using the quadratic formula, follow these steps:
1. Identify the coefficients in the equation: \(a = 0.05\), \(b = 1.1\), and \(c = -250\).
2. Apply the quadratic formula: \[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]
3. Substitute the coefficients into the formula and calculate the solutions for \(x\).
The final answer will provide the values of \(x\) obtained from the quadratic formula.
1. Identify the coefficients:
- \(a = 0.05\)
- \(b = 1.1\)
- \(c = -250\)
2. Apply the quadratic formula:
[tex]\[x = \frac{-1.1 \pm \sqrt{(1.1)^2 - 4 \cdot 0.05 \cdot (-250)}}{2 \cdot 0.05}\][/tex]
3. Calculate the solutions for \(x\):
[tex]\[x_1 = \frac{-1.1 + \sqrt{1.21 + 500}}{0.1} \approx 47.5\][/tex]
[tex]\[x_2 = \frac{-1.1 - \sqrt{1.21 + 500}}{0.1} \approx -549.5\][/tex]
Need help on both problems.
Answers
use Pythagoras, so that
[tex] {18}^{2} - {10}^{2} = 224[/tex]
the square root if 224 is 14.96662955
so roughly, she needs 15ft for the remaining side.
15+10+18=43
so the answer is c.
2)
first calculate the length through the pond
36^2+49^2=3697
square root of 3697 =60.80296045
36+49=85
85-60.80296045=24.19703955
so he saves about 24.2m
Plz help with question
Answers
Answer:
a. Right triangle b. isosceles triangle c. scalene triangle
Answer:
a. right, scalene
b. isosceles and acute
c. obtuse and scalene
Step-by-step explanation:
A triangle with a 90 degree angle is a right triangle. Since none of the sides are marked as the same length, we can assume they are not equal, and therefore are scalene ( no sides the same length)
A triangle with 2 angles that are equal is an isosceles triangle. In this diagram, none of the angles appear to be larger than 90 degrees. If none of the angles are larger than 90 degrees, than the triangle is acute.
A triangle with with an angle larger than 90 degrees is an obtuse triangle. Since none of the sides are marked as the same length, we can assume they are not equal, and therefor are scalene ( no sides the same length)
Someone please help!!! and show work cause I dont understand this topic!
Answers
Answer:
number 1 is A number 2 i don't know
Step-by-step explanation:
A sales clerk at a car stereo store works for commission only. If 15% of the people purchase an item where the clerk gets a $3 commission, 30% purchase an item where the clerk gets a $5 commission, and if 55% purchase an item where the clerk gets an $8 commission, what is the expected value per customer who enters the store?
Answers
Answer:
The expected value per customer = $6.35.
Step-by-step explanation:
The probability for a $3 commission = 15% = 0.15.
The probability for a $5 commission = 30% = 0.30.
The probability for a $8 commission = 55% = 0.55.
So, the expected value per customer = 3(0.15) + 5(0.30) + 8(0.55)
= 0.45 + 1.50 + 4.40
= 6.35.
Hence, the expected value per customer = $6.35.
bring the fraction a/a−4 to a denominator of 16−a^2
really do appreciate this thx
Answers
Answer:
-a(a+4)/(16 - a²)
Step-by-step explanation:
a/(a - 4) Multiply by (a + 4)/(a + 4)
= a(a + 4)/[(a – 4)(a + 4)] Multiply the denominatorator terms
= a(a + 4)/(a² - 16) Multiply by -1/(-1)
= -a(a+4)/(-a² + 16) Reorder terms in denominator
= -a(a+4)/(16 - a²)
at the beginning of the month,Jim's bank alance was $275.38. during the month he wrote the following checks :$174.89,$68and $57.76. he made deposite of $ 250 and 350. find his bank balance at the end of the month.
Answers
Answer:
275.38 - 174.89 - 57.76 = -25.27
-25.27 + 250.00 + 350 = 574.73
Jim's Bank Balance at the end of the month is $574.73
Answer:
Jim's Bank Balance at the end of the month is $574.73
Step-by-step explanation:
Jim's Bank Balance at the beginning of the month = $275.38
LESS :- Checks paid during the month
(-) 1st Check = $174.89
(-) 2nd Check = $68
(-) 3rd Check = $57.76
ADD :- Deposits made in bank
(+) 1st Deposit = $250
(+) 2nd Deposit = $350
TOTAL = $574.73
Jim's Bank Balance at the end of the month is $574.73
Enrique collected 7 more than 2 times as many recyclable bottles,b, as Natasha collected.Write an expression for the number of bottles Enrique collected in all
Answers
Answer:
an expression for the # of bottles enrique collected in all would be 2b+7
Step-by-step explanation:
3(x - 5) + 2 (3x + 1) = 45 solve for x
Answers
Answer:
6.444.... or 6&4/9
Step-by-step explanation:
3(x-5)+2(3x+1)=45<------distributive property
3x-15+6x+2=45 <------combine like terms
9x-13=45 <------addition property of equality
9x=58 <------division property of equality
x=6.444...
Use the figure below to answer the questions
Please help!!
a. Name two pairs of alternate interior angles.
b. Name four pairs of corresponding angles..
Answers
Answer:
Two pairs of alternate interior angles are→1) ∠3 , ∠5 and ∠4 , ∠6
and 2) ∠7 , ∠9 and ∠8 , ∠10
Four pairs of corresponding angles are → 1) ∠1 , ∠5 and ∠2 , ∠6
2) ∠4 , ∠8 and ∠3 , ∠7
3) ∠5 , ∠9 and ∠6 , ∠10
and 4) ∠8 , ∠12 and ∠7 , ∠11
Step-by-step explanation:
When two parallel line cuts by a another line (transversal).Then,
Alternate interior angles → it is the pair of a angles on the inner side of each of those two lines but on opposite sides of the transversal.
hence in the given figure
1)∠3 , ∠5 and ∠4, ∠6 and 2)∠7 , ∠9 and ∠8 , ∠10 are two pairs of alternate interior angles.
Now,
Corresponding angles → the angles are the ones at the same location at each intersection.
Hence in the given figure
1) ∠1 , ∠5 and ∠2 , ∠6 2) ∠4 , ∠8 and ∠3 , ∠7 3) ∠5 , ∠9 and ∠6 , ∠10 and 4) ∠8 , ∠12 and ∠7 , ∠11 are four pairs of corresponding angles.
What is 9.3x 10^34/ 3.1 x 10^17 in scientific notation? Thanks.
Answers
3*10^17
Answer:
Yee it's the second one I took the edge test don't worry I"m right even tho I have wrong grammar
Step-by-step explanation:
The speed of light is 3x10^5 kilometers per second. What is that in standard form?
Answers
The standard form of speed of light is 300000 kilometers per second
What is standard form?Here the standard form means converting the given expression to the simple expression .
How to find what is the standard form of 3x10^5 ?10^5 can be written as 100000So, 3x10^5 can be written as 3 x 100000
By multiplying we get 300000
So, the standard form of speed of light is 300000 kilometers per second
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Which statement is correct?The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic.
The enthalpy of the reaction is –184.6 kJ, and the reaction is endothermic.
The enthalpy of the reaction is 184.6 kJ, and the reaction is endothermic.
The enthalpy of the reaction is 184.6 kJ, and the reaction is exothermic.
Answers
The correct statement is: The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic because in an exothermic reaction, heat is released to the surroundings, leading to a decrease in enthalpy.
Explanation:The correct statement is: The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic. Enthalpy is a measure of the total energy of a thermodynamic system. If the enthalpy decreases during a reaction (negative sign), it implies that heat has been released to the surroundings, which is characteristic of an exothermic reaction. On the other hand, an endothermic reaction absorbs heat from the surroundings, leading to an increase in enthalpy (positive sign).
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The correct statement is 'The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic'. When enthalpy of a reaction is negative, it means the energy is being released to surroundings, indicating an exothermic reaction.
Explanation:The correct statement is 'The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic'. In chemistry, when the enthalpy of a reaction is negative, it indicates that the reaction is exothermic. Exothermic reactions release energy in the form of heat to the surroundings. Thus, if the enthalpy of the reaction is -184.6 kJ, it means the reaction is releasing 184.6 kJ of energy to its surroundings making it an exothermic reaction. In contrast, endothermic reactions absorb heat energy from the surroundings, indicated by a positive enthalpy.
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uppose that y varies inversely with x. Write an equation for the inverse variation. y = 2 when x = 5
Answers
Answer:
An equation for the inverse variation y = 2 when x = 5 is:
y=10/x
Step-by-step explanation:
Suppose that y varies inversely with x:
y=k/x
Write an equation for the inverse variation y = 2 when x = 5
Substituting y by 2 and x by 5 in the formula above:
2=k/5
Solving for k: Multiplying both sides of the equation by 5:
5(2)=5(k/5)
10=k
k=10
Then the equation is:
y=k/x
y=10/x
whats the answer please tell me
Answers
Answer:
2 out of 10 or 2/10
Step-by-step explanation:
1 brown shoes + 7 black shoes = 8
that means there were 2 other students wearing neither so out of the 10 students 2 weren't wearing black or brown shoes making 2/10
Answer:2 student not wearing any of the color
Step-by-step explanation:
1 student wearing brown Brown and black 1+7=8
7student wearing black
And 2 students wearing none of the above
So the answer would be 2 kids not wearing black or brown
Hope this helped
What is the equation of a line with slope −23 and a y-intercept of −4 ?
A. y=−23x−4
B. y=23x+4
C. y=−4x−23
D. y=4x−23
Answers
Answer:
its A
Step-by-step explanation:
the y intercept would be -4 and the slope would be -23, put it in y=mx+b form
Final answer:
The equation of a line with a slope of -23 and a y-intercept of -4 is y = -23x - 4, which corresponds to the option A.
Option A is correct.
Explanation:
The equation of a line is typically written in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. For a line with slope −23 and a y-intercept of −4, we substitute the given values −23 for m and −4 for b to get the equation y = −23x −4. Therefore, the correct option is A. y=−23x−4.
Someone please help me with this question? Thanks if you!
Answers
Answer:
B
Step-by-step explanation:
A secant is a straight line which intersects a circle at 2 points
The only line which does this is XY → B
Can someone help. Please
Answers
Answer:
Answer below Please give brainliest!!
Step-by-step explanation:
Sue Black: 8x5=40 hours 40 x $6.75 = $270
Jerry Atrix: 7.25 + 3 + 6.75 + 8 + 5 = 30 hours
30 x $5.15 = $154.50
Sam Ting: 7.75 x 5 = 38.75 hours
38.75 x $8.75 = 339.0625 = $339.06
need help asap.pls and thanks
Answers
Answer:
your speed is 135 mph
Step-by-step explanation:
Given: y = 3x - 4.
What is the x-intercept?
Answers
Answer:
x- intercept = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
to find the x-intercept, that is where the line crosses the x-axis.
let y = 0 in the equation and solve for x, that is
3x - 4 = 0 ( add 4 to both sides )
3x = 4 ( divide both sides by 3 )
x = [tex]\frac{4}{3}[/tex] or ( [tex]\frac{4}{3}[/tex], 0 )
Answer:
x-intercept is 4/3.
Step-by-step explanation:
We have been given the linear equation [tex]y=3x-4[/tex]
For x-intercept, y = 0
Hence, plugging y=0 in the equation and solve for x
[tex]3x-4=0[/tex]
Add 4 to both sides
[tex]3x=4[/tex]
Divide both sides by 3
[tex]x=\frac{4}{3}[/tex]
Hence, x-intercept is 4/3.
A line of best fit was drawn for 10 data points. What is the maximum number of these data points that may not actually be on the line
Answers
Answer: 10
If the line is a perfect fit, then all 10 points are on the same straight line. On the other side of the spectrum, we could have all 10 points not on the line but close enough to it. If the points are too scattered randomly, or they fit a non-linear curve better, then a linear regression line is a bad idea. You can use a correlation coefficient to determine how best the linear fit is.
Emily is entering a bicycle race for charity. Her mother pledges $0.10 for every 0.25 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answers
Answer:
0.10 for 1/4 of a mile so 8 would be 32 times more. Which would be .1 x 32 or $3.20
Step-by-step explanation:
Plz mark brainliest :3
how to do this
please help me
Answers
Answer:
mmmmm Alright its pretty simple the Answers for the first question is
1.) Exact form: 1/30, and Decimal form: 0.03.......... ? Why
Step 1: Well To write 1/3 as a fraction with a common denominator, multiply by 3/3.Step2: Write each expression with a common denominator by 9, by multiplying each by an appropriate factor of 1. Step 3: Combine the numerators over the common the denominator, simplify the numerator. Step 4: Move the negative in front of the fraction, to write 1/2 as a fraction with a common denominator multiply by 2/2. Step 5: Write each expression with a common denominator of 4, by multiplying by both each y an appropriate factor of 1: (This step is just like step 3 above)
Hope this info helps, and have a nice day :)
Step-by-step explanation:
what is 4.8×10^4 in standard notation
Answers
The answer is short, but so is the question, I hope I helped.
Please help me with #8
Answers
I think the answer might be J 3(-4) since there are 3, -4 jumps.
the population of a town was 47000 in 1950 and 83000 in 2010. assume the rate of population increase is constant. what will the population be in 2015
Answers
Do 83000 minus 47000
To estimate the population of the town in 2015, calculate the annual increase from 1950 to 2010 and use it to project the population. The population was found to be approximately 86,000 in 2015.
To determine the population of the town in 2015, we need to calculate the annual rate of population increase between 1950 and 2010 and use it to project the population for 2015. First, we find the total increase over the 60 years from 1950 to 2010:
Total increase = Population in 2010 - Population in 1950
Total increase = 83000 - 47000 = 36000
Then, we find the annual rate of increase by dividing this total increase by the number of years:
Annual Increase = Total increase / Number of years
Annual Increase = 36000 / 60 = 600
Now that we have the annual rate of increase, we can determine the population in 2015:
Population in 2015 = Population in 2010 + (Annual Increase * Number of years since 2010)
Population in 2015 = 83000 + (600 * 5) = 83000 + 3000 = 86000
The population of the town in 2015 is estimated to be 86000 given the constant rate of population increase.
what is the initial value of the linear function that represents this situation
Answers
Answer:
As per the statement: Hannah already had 44 photos on her camera when she arrived in Rome.Then she took 24 photos each day for 6 days.
Let x represented day and y represents the number of photo
Total number of 24 photo in x days is, 24x
then; as per the given statement our equation becomes;
y = 24x+44 .....[1]
now, to find the total number of photos took by Hannah for 6 days in Rome;
put x = 6 in [1] we get;
y = 24(6) + 44 = 188
Therefore, the total number of photos on Hannah's Camera is, 188 photos.
To, find the initial value for the linear function y =24x +44.
Initial value or y-intercept, is the output value when the input of a linear function is zero i.e, x = 0.
Substitute x =0 in y =24x +44
y= 24(0) + 44
y = 0 + 44
y = 44
Therefore, the initial value for the equation y =24x+44 is 44 photos.
Answer:its 44 photos!
in Mr. whiteners class,7 out 35 students olay middle school basketball .what percent of studwnts in mr. Whitener's class play middle school basketball?
Answers
Answer:
7 out of 35 play basketball. Since you are only asking for 7 you take 7 and divide iy by 35. When you divide you get .2 0r 20%.
Your answer is 20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
It would be 20% because 35/7 is 5 and 5 goes into 100% 20 times.
three students ordered wings that cost $21 and french fries for 6$. If they split the bill equally how much did each student pay
Answers
The total is $21 + $6 or $27.
There are 3 students.
Let p = how much each student will pay
p = $27 ÷ 3 students
p = $9
Each student will pay $9.
The answer is $9 each
A bag contains 10 green marbles and 4 yellow marbles. If two marbles are chosen at random, one at a time and without replacement, what is the probability of getting two green marbles?
Answers
Answer:There is high probability that getting two green marbles.
Step-by-step explanation:
prob of green marble = 10/14 = .71
Then if you are getting 2 green marbles you have to first take out 1 green marble so now there are 9 green marbles and 13 total green marbles
prob of 2nd green marble = 9/13 = .69
So you would then multiply the probabilities of the individual events to get the total probability:
.71 * .69 = .4899 therefore(with rounding):
The probability of getting two green marbles is 49%