Answer:
3/4
Step-by-step explanation:
The larger the number the greater the rate of change
3/4 > 1/4 so 3/4 has a greater rate of change
Answer:
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
Step-by-step explanation:
From the figure, it is clear that:
m∠KIH = m∠HIJ + m∠KIJ
Given
now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation
m∠KIH = m∠HIJ + m∠KIJ
68° = (2x + 6)° + (9x - 4)°
switch sides

Group like terms


Subtract 2 from both sides

Simplify

Divide both sides by 11

Simplify

Hence, the value of x = 6
Therefore,
m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°
m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
Let x be the first digit.
Let y be the second digit.
Let z be the third digit.
x+y+z=18
y= (-2)(-4)
y= 8
x= 3^2
x= 9
Therefore z=1.
The number is
= 100x+10y+z
= 100(9)+10(8)+(1)
= 981
Just remember the syllables PEMDAS which stand for Parentheses, Exponents, Multiplication, Division, Addition and Subtraction. If you can’t remember it, just write it on the side of your paper. But make sure to use it in that order.
Answer:
Part 1) The exact solutions are
and
Part 2) (1.79, 8.58)
Step-by-step explanation:
we have
----> equation A
----> equation B
we know that
When solving the system of equations by graphing, the solution of the system is the intersection points both graphs
<em>Find the exact solutions of the system</em>
equate equation A and equation B

The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
so
The solutions are
<em>Find the values of y</em>
<em>First solution</em>
For 


The first solution is the point
<em>Second solution</em>
For 


The second solution is the point
Round to the nearest hundredth
<em>First solution </em>
-----> 
-----> 
see the attached figure to better understand the problem