Which Greek mathematician is known as the Father of Geometry
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Write in vertex form:y = x2 - 8x + 19
a list has slope -5 and y - intercept (0,3) what is the slope -intercept form of the equation of this line
Rays of light incident on a lens and parallel to the principal axis of the lens converge
Five eighths added to Q number is 4. Determine the number.
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Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
The equation of the line is y = m x + b, where
- m is the slope of the line
- b is the y-intercept
The rule of the slope of the line is m = , where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (3, 4) and (-4, -3)
∴ x1 = 3 and y1 = 4
∴ x2 = -4 and y = -3
→ Substitute them in the rule of the slope above to find it
∵ m = =
= 1
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = 1(x) + b
∴ y = x + b
→ To find b substitute x by 3 and y by 4 in the equation
∵ 4 = 3 + b
→ Subtract 3 from both sides
∵ 4 - 3 = 3 - 3 + b
∴ 1 = b
→ Substitute it in the equation
∴ y = x + 1
∴ The equation of the line is y = x + 1
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The area of a circle is π (Pi) times the Radius squared, which is written:
A = π × r2
Or, when you know the Diameter:
A = (π/4) × D2
Or, when you know the Circumference:
A = C2 / 4π
Answer:
Area of a circle = Aπr²
*You multiply the area by pi and then by the square of the radius.
**If you are given the diameter instead of the area then just divide it by 2 and substitute it in the expression.
***If you are given the circumference then: A = C²/ 4π
A:12
B:-2
C:2
D:-12
E:10
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Answer:
C
Step-by-step explanation:
to evaluate f(- 1) , substitute x = - 1 into f(x)
f(x) = - 5x² - 3x + 4 , then
f(- 1) = - 5(- 1)² - 3(- 1) + 4 = - 5(1) + 3 + 4 = - 5 + 7 = 2
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The next number in the sequence is 1595.
Here, given that, the sequence of numbers is: 2,7,26,101,400....
The relationship between the successive numbers in the sequence:
Now, applying it to the given sequence:
As we can see, the formula holds true for each term in the sequence, and it gives us the correct values for the subsequent terms.
Now, to find the next number in the sequence,
we use the formula with n = 5:
So, the next number in the sequence is 1595.
learn more on sequence:
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There are 5 row and 8 tiles in each row calculated using two equation.
What are System of equation?
Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.
Given I am an array made with 40 tiles I have an odd number of rows and an even number of tiles in each of my rows the number of my rows plus the number of tiles in each of my rows equals 13
Let "r" be the number of row and "t" be the number of tiles in each row.
Since, array has total 40 tiles
Thus,
r * t = 40
Also given
r +t = 13
From comparing these equation
r = 5 or 8
Since row is odd given
thus, r = 5
and t = 8
therefore, Two equations are used to determine the five rows and eight tiles in each row.
Learn more about System of equation here:
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Answers
Answer:
x = -1
y = -2
Step-by-step explanation:
To get y by itself:
3x - y = -1
-y = -1 - 3x
y = 1 + 3x
Solve for x with substitution:
2x = 4(1 + 3x) + 6
2x = 4 + 12x + 6
2x = 10 + 12x
-10x = 10
x = -1
Plug the x value into 3x - y = -1
3(-1) - y = -1
-3 - y = -1
-y = 2
y = -2
Answer:
x = -1 and y = -2
Step-by-step explanation:
2x = 4y +6
x = 2y + 3
3(2y+3) - y = -1
6y+9 - y = -1
6y - y = -10
5y = -10
y = -2
2x = 4(-2) + 6
2x = -8 + 6
x = -4 + 3
x = -1
I hope this helps!