Step
Find the slope of the line
we know that
the formula to calculate the slope between two points is equal to
Let
substitute the values
Step
with the slope m and the point find the equation of the line
we know that
the equation of the line in the point-slope form is equal to
substitute the values
therefore
the answer is
The equation of the line which passes through the points and is .
Further explanation:
It is given that the line passes through the points and .
Consider the point as and as .
Two points are given through which the line passes so, in order to determine the equation of the line use the two point form equation.
The general representation of the two point form of a equation is as follows:
(1)
In the above equation the expression is called slope.
Slope of a line is represented as and the expression for is as follows:
(2)
Substitute for in equation (1).
(3)
To calculate the value of slope substitute the value of and in equation (2).
Therefore, the value of slope of the line is .
To obtain the equation of the line substitute the value of and in equation (3).
Therefore, the equation of the line is .
Thus, the equation of the line which passes through the points and is .
Learn more:
1. A problem to complete the square of quadratic function brainly.com/question/12992613
2. A problem to determine the slope intercept form of a line brainly.com/question/1473992
3. Inverse function brainly.com/question/1632445.
Answer details
Grade: High school
Subject: Mathematics
Chapter: Lines
Keywords: Equation, linear equation, slope, intercept, intersect, graph, curve, slope intercept form, line, point slope form, two point form, equation of a line, (-6,7) and (-3,6).
Where is the point of concurrency of the angle bisectors of a triangle? A) outside the triangle
B) inside the triangle
C) on the triangle
Answer:
B) inside the triangle
Step-by-step explanation:
That point of concurrency is called the "incenter" as it is the center of the largest circle that can be inscribed in the triangle. It is always located inside the triangle.
Each angle bisector must be inside the triangle, so their point of intersection must be inside the triangle.
Answer:
Inside the triangle
Step-by-step explanation:
What is the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months? a. $25.47
b. $202.55
c. $611.20
d. $4,861.20
The finance charge is $1281.32
Data;
This is the interest compounded on a facility over a given period of time.
To solve this, we have to use the formula
Let's substitute the values and solve
The finance charge is $1281.32
Learn more on compound interest here;
brainly.com/question/2455673
Answer: Option c. $ 611.20 will be correct.
Explanation:
Since, the total amount of finance charge is
Where P is the principle, r is the rate, n is the times of compound interest (monthly or quarterly etc.) .
Here P=$4250 r=13.25%, and n=24.
So according to the formula So, the finance charge= = $ 611.20
WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS CORRECTLY!!!!!!!!! Tony is baking cakes and loaves of bread for a family reunion. His cake recipe uses 5 cups of flour for each cake, and his bread recipe uses 6 cups of flour for each loaf. He has 90 cups of flour on hand.
Let c represent the number of cakes and b represent the number of loaves of bread that Tony bakes.
Create an inequality that symbolizes this situation, and then answer the question below.
Can Tony bake 8 cakes and 9 loaves of bread without buying more flour?
Factor each expression: 5a-25
WILL GIVE BRAINLIEST TO PERSON THAT IS CORRECT!!!! Hana rented a car for a week for $200 plus $0.25 per mile. After driving for one week, she owed the rental company $362.50.
Which equation represents the amount she paid to the rental company, and how far did Hana drive during the week?
$200 + $0.25m = $362.50; m = 650 miles
$200 + $0.50m = $250; m = 140 miles
$200 - $0.25m = $725; m = 2,250 miles
$200 - $0.25m = $362.50; m = 1,450 miles
Keshawn is constructing the inscribed circle for △PQR . He has already used his compass and straightedge to complete the part of the construction shown in the figure. Which construction could be his next step? Construct the angle bisector of ∠XQR . Construct the line through points P and X. Construct the perpendicular bisector of PQ¯¯¯¯¯ . Construct the perpendicular to QR¯¯¯¯¯ that passes through point X.
Answer:
Construct the perpendicular to QR¯¯¯¯¯ that passes through point X.
Step-by-step explanation:
Answer:
Construct the perpendicular to QR¯¯¯¯¯ that passes through point X.
Step-by-step explanation:
Verified correct with test results.
John bought a house. He decided to reduce his square backyard by 40 inches along its width. The area of the new backyard is given by the function below, where z represents the length in inches. A(z)=z^2-40z
Which statement best describes the term 40z?
* The area of the playground after expansion
* The width of the backyard
* The area of the backyard before reduction
* The area reduced from the backyard
Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x? x = 52
x + 52 = 180
x + 52 = 90
52 + 38 = x
Answer: The answer is x= 52°
Step-by-step explanation: These are vertical angles so that means both sides would equal the same. One side is 52° So the other side would also be 52°.
Would you measure the length of a bench in centimeters or in meters .explain your choice
Let x = price of a standard ticket, y = price of a matinee ticket, and z = price of a senior ticket. 150x + 80y + 12z = 2,466 380x + 95y + 48z = 5,419 210x + 130y + 60z = 3,960 220x + 225y = 4,445 540x + 270y = 8,370 → y = −2x + 31 x = 11 Finish solving the system using. What are y and z?
Answer: y = 9, z = 8
Step-by-step explanation:
Here, the given equations are,
150x + 80y + 12z = 2,466 ---------(1)
380x + 95y + 48z = 5,419 ---------(2)
210x + 130y + 60z = 3,960 --------(3)
4 × equation (1) - Equation (2),
220x + 225y = 4,445 ------------(4)
5 × equation (1) - equation (3),
540x + 270y = 8,370
⇒ 270 y = 8370 - 540 x
⇒ y = 31 - 2 x
Substituting the value in equation (4),
220 x + 225 ( 31 - 2 x ) = 4445
220 x + 6975 - 450 x = 4445
- 230 x = - 2530
x = 11
By putting this value in equation (5),
we get, y = 31 - 22
y = 9
By putting the value of x and y in equation (1),
1650 + 720 + 12 z = 2466
2370 + 12 z = 2466
12 z = 96
z = 8
Answer:
Y=9
Z=8
For the next one, the solution can be expressed as 11,9, and 8
Step-by-step explanation:
Just did it on edg!
Find the area of a parallelogram with base b and height h. B= 74cm H=14.8 cm
General Idea:
The formula to find the area of parallelogram is given below:
Applying the concept:
Given,
In order to survive, organisms must maintain stable conditions in their bodies, even though their external environments are always changing. For example, humans need to maintain an internal temperature around 37°C. Blood needs to have a pH around 7.4 and an oxygen saturation close to 100%.
What needs to happen in order to maintain these conditions?
A) Organ systems must interact with one another.
B) Organisms must be at rest.
C) Genes must be altered each time cells replicate.
D) All of these.
Organ systems must interact with one another.
Solve the equation x2 = 10.
The solution of the equation is x = ±3. 162.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Parts of an Equation
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.
An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.
Given:
x² = 10
Now to solve the above equation we have to take the square root on both side, we get
√x² = √10
x= ±√10
x= ±3. 162 ( because root provides two values one is positive and other is negative)
Hence, the value of x is ±3. 162.
Learn more about equation here:
brainly.com/question/10413253
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Answer:
Step-by-step explanation:
Choose the correct simplification of the expression the quantity a to the 4th power over b to the 2nd power all raised to the 3rd power. a to the 7th power over b to the 5th power
a to the 12th power over b to the 6th power
ab9
a12b6
Choose the correct product of (3x − 8)2. 9x2 − 64
9x2 + 64
9x2 − 48x + 64
9x2 + 48x + 64
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π3 radians. What is the length of the arc? 2π ft
3π ft
6π ft
9π ft
Answer:
The correct answer is 2π ft.
Step-by-step explanation:
Verified by correct test results.
The equation of a circle whose center is at (4, 0) and radius is length 2√(3) is (x - 4)² + y² = 2√3 (x - 4)² + y² = 12 (x + 4)² + y² = 12
Answer:
Equation of the circle is
Step-by-step explanation:
We have been given that
center of the circle = (4,0)
Radius of the circle =
The standard form of a circle is given by
Here, (h,k) is the center and r is the radius. Thus, we have
h = 4, k = 0, r = 2√(3)
Substituting these values in the above equation, we get
Simplifying, we get
Therefore, equation of the circle is
What is the quotient? n+3/2n-6 divide n+3 /3n-9
Complete the factorization of 3x2 – 5x + 2. Which two factors can be multiplied together to make this trinomial?
(x – 2)
(x – 1)
(x + 1)
(3x – 2)
(3x + 2)
the answers are (x-1) and (3x-2)
In the figure below, triangle ABC is similar to triangle PQR, as shown below: What is the length of side PQ? A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.
Answer:
Line PQ is 24