Find the value of x so that the function has the given value.
1 answer:
For h(x) = -7x + 10, x =1
For r(x) = 4/5x+ 7 , x = -15
Step-by-step explanation:
in order to find the value of x on which the functions will have given values, we will put the functions equal to the given values
So,
<u>h(x) = -7x + 10; h(x) = 3</u>
Dividing both sides by -7
<u>r(x) = 4/5x+7; r(x) = -5</u>
<u></u>
Keywords: Functions
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Answer:
The period, in seconds to two decimal places is, 2.84 sec
Step-by-step explanation:
Using formula:
......[1]
where
T represents the Time period in second
l represents the length of the pendulum/
As per the statement:
Use the gravitational constant g = 9.8 m/s^2 , length of the simple pendulum(l) = 2 meters and
Substitute the given values we have;
⇒
Therefore, the period, in seconds to two decimal places is, 2.84 sec
Answer:
4x + 6
Step-by-step explanation:
To determine what the numerator would be, after simplifying both fractions, take the following steps:
Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.
Thus,
x² + 2x + x + 2
(x² + 2x) + (x + 2)
x(x + 2) +1(x + 2)
(x + 1)(x + 2)
We would now have the following as our new fractions to add together and simplify:
Step 2: find the highest common factor of the denominator of both fractions.
Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)
Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.
Thus,
Therefore, the numerator of the simplified form sum of both fractions = 4x + 6
Answer:
Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral
Step-by-step explanation:
All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.
DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.
Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.
Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.
