Answer:
The answer is
<h2>7.61 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
<h3>
</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,-1) and (4, 2).
The distance is
We have the final answer as
<h3>7.61 units to the nearest hundredth</h3>
Hope this helps you
Answer:
157.5
Step-by-step explanation:
when finding a percentage just take the percent in this case 35% and turn it into a decimal. in this case, the decimal would be 0.35. then just multiply the price and the percentage to get your answer. in this case the equation is 0.35x450=157.5
hope this helped.
For every liter of gas there is 1,000 milliliters. If you multiply 50 liters by 1,000 milliliters you will get 50,000mls.
Answer:
j² - 5j²k - 2
Step-by-step explanation:
3j² - j²k - 6 - 4j²k - 2j² + 4
To simplify this polynomial, we can collect like terms. A term is number(s) or variable(s) that are grouped together by multiplication. <u>Like terms have the same variable and exponent</u>.
We have three groups of like terms:
The j-squares (j²), the j-squared k (j²k) and the constants (no variable).
Remember to include the negatives!
The j-squares are: 3j² ; -2j²
The j-squares k are: - j²k ; - 4j²k
The constants are: - 6 ; 4
Simplify:
3j² - j²k - 6 - 4j²k - 2j² + 4
Rearrange the polynomial by like terms
= (- j²k - 4j²k) + (3j² - 2j²) + (- 6 + 4)
Add or subtract the like terms
= (-5j²k) + (j²) + (-2)
Remove brackets and rearrange so the negative is not first
= j² + - 5j²k + - 2
Simplify where two signs are together. Adding a negative is subtraction.
= j² - 5j²k - 2 Simplified
Answer:
<em>y = 3x</em>
Step-by-step explanation:
<u>Equation of a Line</u>
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
We are given the following values of the function: f(-1)=-3 and f(2)=6. The points are (-1,-3) and (2,6). The slope is:
Now find the equation of the line using the second point:
y - 6 = 3 ( x - 2 )
Operating:
y - 6 = 3x - 6
Simplifying:
y = 3x
