Answer:
y = 2x - 13
Step-by-step explanation:
Equation of a line is y = mx + c, m is the gradient and c is the intercept
The line passes through points 4 and -5, x is 4 and y is -5
-5 = 4m + c
When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1
x + 2y = 5
2y = -x + 5
y = (-1/2 * x) + 5
therefore m = -1/2
m1 * m2 = -1
m * -1/2 = -1
-m = -2 , therefore m = 2
-5 = 4 * 2 + c
c = -5 - 8, which is -13
Therefore the equation for the line is
y = 2x - 13
Answer:
Fatima should shade 3 groups of 8 small squares or 24 small squares.
Step-by-step explanation:
Consider the provided information.
Fatima is shading this model to show 0.08 × 3. Shade the correct amount of boxes that will show the product.
Here 3 represents the number of groups and 8 represents the small square.
Multiplication is repeated addition.
We can rewrite the above multiplication as: 0.08 + 0.08 + 0.08
Therefore 0.08 × 3 = 0.24
Here 0.24 represents 24 small squares.
The required model is shown below:
Hence, Fatima should shade 3 groups of 8 small squares or 24 small squares.
Answer:
They are on their simplified form.
Step-by-step explanation:
Since these numbers are prime numbers we can't simplify them. But we can change them to decimal.
1/2=0.5
1/3=0.3 (in which 3 repeats itself)
Hope this helps ;) ❤❤❤
Answer:
volume = pi x r^2 ×h
where r is radius and h is height.
h= 6 in
r= 1
V=(22/7)×1^2 ×6
V=18.857in^3
Step-by-step explanation: Since the glass cup is cylindrical in shape, we use the formula for find volume of a cylinder iff the glass cup is to be filled full.
The volume of water will be equal to the volume of the cup. Across the widest point means diameter, hence half diameter gives radius.
Answer: ($3.055, $3.205)
Step-by-step explanation:
Given : Significance level : 
Critical value : 
Sample size : n= 36
Sample mean : 
Standard deviation : 
The confidence interval for population mean is given by :_


Hence, the 95% confidence interval to estimate the population mean = ($3.055, $3.205)