Answer:
<h2>The answer is option A</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
From the question the original line is
y = 2/3x - 7
Comparing with the general equation above
Slope = 2/3
Since the lines are parallel their slope are also the same
Slope of parallel line = 2/3
So the equation of the line using point
(12 , 2 ) and slope 2/3 is
We have the final answer as
Hope this helps you
Answer:
<em>Maximum: (-1,9)</em>
Step-by-step explanation:
<u>Vertex form of the quadratic function</u>
If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:
Where a is the leading coefficient.
We are given the following function:
To find the vertex, we need to complete squares. First, factor -2 on the first two terms:
The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:
Taking out the -1:
Factoring the trinomial and operating:
Comparing with the vertex form we have
Vertex (-1,9)
Leading coefficient: -2
Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.
Maximum: (-1,9)
A kite is a <em>quadrilateral</em> which has <u>two</u> equal adjacent sides. Therefore <em>measuring</em> the lengths a<u>ccurately</u> would make the pieces of wood <em>perpendicular</em>. Since the diagonals of a kite are at <em>right angle</em> to each other.
<u>Quadrilaterals</u> are shapes which has four straight sides. Examples are; square, trapezium, kite, rectangle etc.
A <u>kite</u> is a shape which has <em>adjacent</em> sides to have equal lengths. It has two diagonals, and one <em>line of symmetry</em>.
The <em>lengths </em>of the sides of the <u>fabric</u> being exact imply that the pieces of wood would be perpendicular as suggested by Priya when fixed appropriately to the piece of fabric. This is because the diagonals of a <em>kite</em> are always <u>perpendicular</u>. Thus measuring the angles as suggested by Han is <u>not</u> necessary.
Visit: brainly.com/question/21979359
Answer: B. 30
<u>Step-by-step explanation:</u>
When given a secant and a tangent, the formula is:
exterior of secant × secant = tangent²
KM × JK = LK²
10 × (JM + 10) = 20²
10JM + 100 = 400
10JM = 300
JM = 30
Answer:
16.053 inches
Step-by-step explanation:
Many such probability questions are easily answered by a suitable calculator or spreadsheet.
