Can someone help me and explain it
1 answer:
You might be interested in
How the quadratic formula works:
For any quadratic equation ax² + bx + c = 0, the solution is
.
In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0
Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.
Plug these into our quadratic formula and solve.
There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.
For any quadratic equation ax² + bx + c = 0, the solution is
In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0
Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.
Plug these into our quadratic formula and solve.
There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.
Answer:
Step-by-step explanation:
The first triangle is a right triangle and it has one acute angle of 70 degrees.
We can approximate from right triangle 1.
The side adjacent to 70 degrees is WY. The side or hypotenuse is WX.
The side adjacent to 70 degrees in right triangle 1 is 3.4. The side or hypotenuse is 10.
Answer:
A) The equation relating Patrick’s weight to his age is y = 7/2 x + 1
B) The Patrick's age is 10.57 years when he weighed 38 kg
Step-by-step explanation:
* Lets explain how to solve the problem
- The slope of the line whose end points are (x1 , y1) and (x2 , y2) is
- The form of the linear equation is y = mx + c, where m is the slope of
the line and c is the y-intercept
- The y-intercept means the line intersect the y-axis at point (0 , c)
* Lets solve the problem
- At age 12 Patrick weighed 43 kg
- At age 14 he weighed 50 kg
- Represent the age by x and the weight by y
∴ There are two points on the line which represents the relation
between the age and the weight of Patrick
∵ (12 , 43) and (14 , 50) belong to the equation relating Patrick’s
weight to his age
A)
- Lets find the equation
∵ (x1 , y1) is (12 , 43) and (x2 , y2) is (14 , 50)
∴ x1 = 12 , x2 = 14 and y1 = 43 and y2 = 50
∴
∵ y = mx + c
∴ y = 7/2 x + c
- To find c by substitute x and y in the equation by the coordinates
of one of the 2 points
∵ 43 = 7/2 (12) + c
∴ 43 = 42 + c
- Subtract 42 from both sides
∴ c = 1
∴ The equation is y = 7/2 x + 1
* The equation relating Patrick’s weight to his age is y = 7/2 x + 1
B)
∵ The weight of Patrick is 38 kg
- That means y = 38
∵ y = 7/2 x + 1
∴ 38 = 7/2 x + 1
- Subtract 1 from both sides
∴ 37 = 7/2 x
- Divide both sides by 7/2
∴ x = 37 ÷ 7/2 = 10.57
∴ The Patrick's age is 10.57 years when he weighed 38 kg