Use the given conditions to write an equation for the line in point-slope form and general form.
Passing through (7,−9) and perpendicular to the line whose equation is
The equation of the line in point-slope form is
The equation of the line in general form is
Answers
The equation of the line in point-slope form is y = -1/3 x + 20/3 and 3y + x = 20
Equation of a lineThe equation of line perpendicular to another line in point slope form is expressed as;
y-y₁ = -1/m(x-x₁)
Given the equation of a line x -3y - 8 = 0
x - 3y = 8
-3y = -x + 8
y = 1/3x - 8/3
Slope m = 1/3
Substitute the point (-7, 9) and slope 1/3 into the equation
y-9 = -1/3(x-(-7))
y-9 = -1/3(x+7)
3(y-9) = -(x+7)
3y-27 = -x -7
3y = -x + 20
y = -1/3 x + 20/3
Write in general form.
3y = -x + 20
3y + x = 20
Hence the equation of the line in point-slope form is y = -1/3 x + 20/3 and 3y + x = 20
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Related Questions
In this problem, you will investigate the relationship between same-side exterior angles.
c. Make a conjecture about the relationship between the pair of angles formed on the exterior of parallel lines and on the same side of the transversal.
Answers
The relationship between the angles formed on the exterior of parallel lines on the same side is Co-Exterior Angles
In the picture mentioned, there are two lines m and n parallel to each other and a transversal t. It forms exterior angles on the same side of the transversal as highlighted. According to the property of Co-exterior angles,
=> ∠1 ≅ ∠8
=> ∠2 ≅ ∠7
When a transversal is constructed on parallel lines, there are angles formed on both interior and exterior sides of the parallel lines. The pair of angles formed on the exterior side of parallel lines which are on the same side of the transversal dropped on the parallel lines are called Co-exterior angles. These angles formed are congruent to each other.
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m/ABC = 17x+8, mZABK = 42°,
and m/KBC = 12x - 4. Find m2ABC.
A
B
K
C
Answers
For a store to make a profit, they often price the items well over the cost to make the item. A new cell phone sold for $200, which was 200% of the actual cost. What is the actual price of the cell phone?
A. $400
B. $150
C. $250
D. $300
E. $100
Answers
Distance between (0,0) to (2,5)
Answers
The distance between (0,0) and (2,5) is √29.
Given,
(0,0) to (2,5)
We need to find the distance between (0,0) and (2,5).
What is the distance formula between two points?It is given as:
If two points are (a,b) and (c,d)
d = √ ( c - a )²+ (d - b )²
Find the distance between (0,0) and (2,5).
We have,
d = √ ( 2 - 0 )² + ( 5 - 0 )²
d = √ 2² + 5²
d = √ 4 + 25
d = √ 29
Thus the distance between (0,0) and (2,5) is √29.
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Write an equation of each line.slope =3 ; through (1,5)
Answers
The equation of the line in point-slope form, with slope equal to 3 and passing through the point located at (1 , 5), is (y - 5) = 3(x - 1).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Using the point slope form, plug in the values to set up the equation.
(y - y1) = m(x - x1)
where m = 3 and (x1 , y1) = (1 , 5)
(y - 5) = 3(x - 1)
In slope-intercept form, the equation of the line is:
(y - 5) = 3(x - 1)
y - 5 = 3x - 3
y = 3x + 2
In standard form, the equation of the line is:
y = 3x + 2
3x - y = -2
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Solve for h.
11h > -2(-5h + 19)
Write your answer with h first, followed by an inequality symbol.
Answers
Answer: [tex]h > -38[/tex]
Step-by-step explanation:
11h > -2(-5h +19)
Expand = [tex]-2\left(-5h\right)+\left(-2\right)\cdot \:19[/tex] = [tex]2\cdot \:5h-2\cdot \:19[/tex]
Simplify 2 times 5h-2 times 19: 10h-38
[tex]11h-10h > 10h-38-10h[/tex]
Simplify=[tex]h > -38[/tex]
Make a table of values for f(x) after the given translation. 4 units up.
Answers
Using equations of the form y=f(x), you may be able to modify the graph in various ways. For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.
X F(X) F(X)+4
-2 -2 2
-1 -1 3
0 0 4
1 1 5
2 2 6
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how is it that if owidnnskhdksdowhdowhdowhdowhdowdhwhdowhodhdowhowdhwohdowdw
Answers
Answer:
because shjnanavanakab abakagavajamannsjsvvee. eshjana
Need asap
What is the product of 11/12 and 240/121
Answers
Answer:
20/11
Step-by-step explanation:
Recall that the word "product" means multiplication.
We're asked to multiply 11/12 by 240/121
Once multiplied, we get:
20/11 or 1.81 (in decimal form)
Answer:
c) 20/11
Step-by-step explanation:
Given problem,
→ (11/12) × (240/121)
Then required product will be,
→ (11/12) × (240/121)
→ (11 × 240)/(12 × 121)
→ 2640/1452
→ 20/11
Hence, option (c) is correct.
Does (10, 9) make the inequality 10x + 13y > 10 true?
yes
no.
Answers
Answer:
Yes (10,9) does make the inequality 10x + 13y > 10 true
Step-by-step explanation:
Substitute (10,9) in place of x and y 10(10) + 13(9) > 10Multiply the variables 10•10=100 and 13•9=117 100 + 117 > 10Add like terms 100 + 117= 217 Compare the answer to see if your variable is true since 217 > 10 a true statement then that means yes coordinates (10,9) make the inequality 10x + 13y > 10 truehow to Share $490 in the ratio of 4:3.
Answers
two parts are $280 and $210 when divided $490 in the ratio of 4:3.
WHAT IS RATIO?In mathematics, a ratio illustrates how many times one number is present in another. For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons. Oranges make up 8:14 of the total fruit, whereas lemons make up 6:8 of the total fruit.
CALCULATIONdividing $ 490 in the ratio 4:3
490 * (4/(4+3)) = 280 _______________(1)
490 *(3/(4+3)) = 210________________(2)
so the two parts are $280 and $210
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Select all the statements that describe graph E
Answers
The graph represents a function that is non-linear, decreasing and continuous.
What are the features of curve seen in a graph?
In this problem we look at the graph carefully and must infer the most important features of the curve. The following features are listed and explained below:
The graph is non-linear, y is not changing at constant rate when x changes. The graph is decreasing, the slope of the curve become more horizontal inasmusch as x is increased. The graph is continuous, the curve itself represents an "infinite" set of points, a continuum of points.In a nutshell, the graph represents a function that is non-linear, decreasing and continuous.
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Find the percent of the given number. 10 % of 180
Answers
Answer:
18
Step-by-step explanation:
To find 10% of 180:
multiply 180 with 10 then divide it by 100
180×10÷100 = 18
A delicatessen delivers a gigantic sandwich for the members of a jury who have been unable to
reach a verdict. The sandwich of bread, meat and cheese costs 50, 60 per pound for the bread, $3 per
pound for the meat, and $1.50 per pound for the cheese. A pound of bread supplies 10g of prote
pound of meat supplies 50g of protein, and a pound of cheese supplies 40g of protein. If each member
of the jury eats a pound of sandwich, receives 30g of protein, and pays $1.50 ($18 total), how much
each ingredient went into the sandwich?
Answers
21790 hello brodi you ok
5. An arithmetic sequence is defined by:
a₁ = -8
an = an-1+4
What is the 7th term of the sequence?
Answers
Answer: 16
Step-by-step explanation:
an = an-1+4 ==> change in every term is +4
1=1st term
7=7th term
-8+4*(7-1)=
-8+4*6=
-8+24=16
Solve each system by elimination.
3u+3v = 15 , -2u+3v = -5
Answers
By elimination, the solution of the system of equations, 3u + 3v = 15 and -2u + 3v = -5, is (u , v) = (4 , 1).
A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.
There are three methods that can be used to solve system of equations.
1. Elimination
2. Substitution
3. Graphing
Using the elimination method, given two equations in u and v, a variable should be eliminated by adding/subtracting the two equations.
Subtracting the two equations will eliminate the variable v.
3u + 3v = 15 (equation 1)
-2u + 3v = -5 (equation 2)
5u = 20
u = 4
Substitute the value of u to any of the two equations and solve for v.
3u + 3v = 15 (equation 1)
3(4) + 3v = 15
3v = 15 -12
3v = 3
v = 1
Hence, the solution of the system of equations is (u , v) = (4 , 1).
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Identify the property that justifies the statement.
Δ ΧΥΖ ~Δ ΑBC and Δ ABC ~Δ PQR, so Δ XYZ ~Δ PQR.
Answers
Answer:
sym. prop of . now mark me as brainliest
if 3/4 of the 42 states in that country must approve the ammendment If 41 states approve an amendment, will the constitution be amended?
Answers
Answer: Yes
Step-by-step explanation:
3/4 of 42 is (3/4)(42)=31.5, and 41 is greater than 31.5.
y varies directly with x .
If y=4 when x=-2 , find x when y=6 .
Answers
Using direct variation, As y varies directly with x, for y=6 the value of x will be -3.
What is direct variation?Direct variation is the change in one quantity as a result of the change in another. This suggests that if one quantity rises or falls, the other must rise or fall correspondingly as well.
As y varies directly with x,
Using direct variation,
⇒ y = kx
⇒ 4 = k (-2)
⇒ k = -2
⇒ For y = 6,
⇒ x = y / k
⇒ x = 6 / -2
⇒ x = -3
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Find the median of each data set. 11 23 15 17 21 18 21
Answers
Are the two lines parallel and why?
Answers
The graph has two lines and the lines are parallel lines.
Given that,
There is graph in the picture with 2 lines and 4 points.
The points are A=(0,6) and B=(8,0) of line 1.
The points are C=(-3,4) and D=(0,2) of line 2.
From the line 1 points A and B we can find the equation by using the slope equation formula.
Let take A=(0,6)=[tex](x_{1} ,y_{1} )[/tex] and B=(8,0)=[tex](x_{2} ,y_{2} )[/tex]
slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{0-6}{8-0}=\frac{-6}{8}=\frac{-3}{4}[/tex]
Now, To find the equation of the line the formula is
[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -6}{0 -6 } =\frac{x -0 }{8 -0 }\\\frac{y-6}{-6}=\frac{x}{8}\\ 8(y-6)=x(-6)\\ 8y-48=-6x\\6x+8y-48=0[/tex]
Therefore, the 1st line equation is [tex]6x+8y-48=0[/tex]
Let take C=(-3,4)=[tex](x_{1} ,y_{1} )[/tex] and D=(0,2)=[tex](x_{2} ,y_{2} )[/tex]
slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{2-4}{0-(-3)}=\frac{-2}{3}[/tex]
Now, To find the equation of the line the formula is
[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -4}{2 -4 } =\frac{x -0 }{-3 -0 }\\\frac{y-4}{-2}=\frac{x}{-3}\\ -3(y-4)=x(-2)\\ -3y+12=-2x\\2x-3y+12=0[/tex]
Therefore, the 2st line equation is [tex]2x-3y+12=0[/tex].
So, from the 2 equation we have
6x+8y-48=0 and 2x-3y+12=0.
[tex]a_{1} =6,b_{1} =8,c_{1} =48[/tex]
[tex]a_{2} =2,b_{2} =-3,c_{2} =12[/tex]
We have to check weather it satisfy the condition or not.
[tex]\frac{6}{2}\neq\frac{8}{-3} \\\frac{a_{1} }{a_{2} }\neq\frac{b_{1} }{b_{2} }[/tex]
Therefore, it satisfy the condition so the lines are parallel lines.
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HELP ASAP!!! WILL MARK BRAINLIEST!! What are the coordinates of G after it is reflected over the x-axis?
Answers
Answer:
G'( -4 , -3 )
Step-by-step explanation:
Use the rule ( x, y ) changes to ( x , -y )
The original point of G is ( -4, 3 )
The x value stays the same, -4
The y value is multiplied by (-1), (3)(-1) = -3
help please will give brainliest
Answers
Answer:
Step-by-step explanation:
[-6, ∞)
-6 with bracket because open circle means not equal to.
positive ∞ because arrow shows x going forever.
Find the value of x
Answers
Answer:
x=43 degrees
Step-by-step explanation:
If PL=10 and PK=8, find the length KN.
Answers
Answer:
4.5
Step-by-step explanation:
To answer the problem:
PK * PN = PL^2
Let PN = x
8x = 10^2
8x = 100
x = 100/8
x = 12.5
KN = PN - PK
12.5 - 8 = 4.5 would be the length of segment KN.
Mr. Forrest has 18 pepper plants and 24 green bean plants to put in adjacent sections of his garden. He wants the same number of plants in each row in both sections. What is the greatest number of plants he can have in one row?
Answers
Answer:
Henry's garden:
Divide 24 and 18 by 6: you get a 4:3 ratio of tomato: green bean
Simon's garden:
divide both 30 and 25 by 5: you get a 6:5 ratio of tomato: to green bean.
Step-by-step explanation:
Hope this helps!
Make up two different equations that equal 8.4 x 10^-5
Answers
Answer:
assuming that "x" is a multiplication symbol
(4.2*2)10^-5
0.00001 * 8.4
a coin is flipped 10 times with the following results: {T,T,H,T,T,T,H,T} where H is heads and T is tails. what is the experimental probability that the coin will be heads when it is flipped?
a. 0.5
b. 0.3
c. 0.7
d. 1.0
Answers
Answer:
c
Step-by-step explanation:
im pretty sure it is c because of the 50 50 shoot anically
Answer: T 0.5 H 0.3
Step-by-step explanation:
dont actually do this im a 5th grader who guessed
What WHOLE number is [tex]\sqrt40[/tex] between?
Answers
Answer:
3) 21
4) between 6 and 7
5) 14
6) 7
7) 5
Step-by-step explanation:
3) √441 = 21
4) We write √40 to be the square root of 40, and can investigate between which two whole numbers it lies. The number 40 lies between 36 and 49 hence √40 lies between 6 and 7.
5) √184 to whole number
= 13.6 = 14
∴ √184 is equal to 14 round to a whole number
6) √45 to whole number is 7
=6.7 = 7
7) √27 to whole number is 5
=5.2 = 5
prove that:tan²0-cot²0=sec²0(1-cot²0)
Answers
Answer:
Step-by-step explanation:
