Answer: 1.574 × 10-3
Step-by-step explanation:
To convert 0.001574 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 1.574 × 10-3
Answer:
Width = 3 feet
Length = 7 feet
Step-by-step explanation:
x represents the width of doghouse so,
Width = x
Length is 4 times more than its width
Length = x+4
Area of doghouse = 21 square feet
We know
Area of rectangle = Length * Width
21 = (x+4)*x
21 = x^2+4x
=> x^2+4x-21=0
Solving the above quadratic equation by factorization to find the value of x
x^2+7x-3x-21=0
x(x+7)-3(x+7)=0
(x+7)(x-3)=0
x+7 =0 and x-3=0
x= -7 and x =3
Since the width of rectangle can never be negative so, x=3
Width =x = 3 feet
Length = x+4 = 3+4 = 7 feet
Answer:
c = 8
Step-by-step explanation:
Given the following data;
Slope, m = -2
Points (x, y) = (5, -2)
To find the intercept, c;
Equation of a straight line is given by the formula: y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
-2 = -2(5) + c
-2 = -10 + c
c = 10 - 2
c = 8
Therefore, the y-intercept is 8.
