Answer:
-4
Step-by-step explanation:
The direction of the parabola depends on the sign of the leading coefficient i.e. sign of the coefficient with the squared term.
Remember these two points for vertical parabola:
We are given that the parabola opens down. This means that the leading coefficient must be negative. Among the given options only one option contains a negative number i.e. -4.
Therefore, the missing coefficient could be -4
Answer:162
Step-by-step explanation:
(X+7)/13=13/1
Cross product
X+7=169
X=169-7
X=162
b) find the equation of the line which is parallel to β and passes through the point (6,9)
Answer:
a) 2/3
b)
Step-by-step explanation:
b) From my previous answer...
Since parallel lines have the same gradient,
the gradient of the line is 2/3 too.
Thus, m= 2/3.
y= 2/3x +c
Now substitute a coordinate into the equation to find c, the y-intercept.
When x=6, y=9,
9= (2/3)(6) +c
9= 4 +c
c= 9 -4
c= 5
Thus the equation of the line is y= 2/3x +5.
Pedro should buy of the shelving.
Further explanation:
Procedure used:
The following steps are involved to find the value of where is any real number.
1) If one unit is then multiply with .
2) The resultant number is .
Given:
Pedro is building a spice rack with and length of each rack is . He can only buy whole number of lengths.
Calculation:
Step 1:
The length of the shelf is .
Multiply by to calculate the length of shelves.
Here, represents the length of the shelves.
Step 2:
Pedro can only buy whole number lengths.
In the we can see the length of the shelf is not appropriate as he can by only whole numbers.
Pedro needs exactly of shelving.
Therefore, the number lies between and .
The number is not correct as the length should be at least .
Therefore, Pedro should buy of the shelving.
Thus, the required length of the shelf is .
Learn more:
1. Learn more about the representation of the graph brainly.com/question/2491745
2. Learn more about the graph of the quadratic function brainly.com/question/2334270
3. Learn more about graphed below of the function brainly.com/question/9590016
Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Units and measurement
Keywords: Pedro, spice rack, meters, building rack, shelf, lengths, measurement, unit, decimal, fractions, numbers, numbering system, rational number, whole numbers.