Answer:
21 % increase
Step-by-step explanation:
Lets imagine the sides of the rectangle are 100 & 200 cms.
The area would be 100 x 200 = 20000cm^2
If we added 10% onto each side, the sides would now be 110 & 220 cms.
The area would be 110 x 220 = 24200cm^2
We can now find percentage change:
= 21/100 = 21% increase.
The reason we can just pick random values of sides to do this question with is because we worked out percentage change, which will be the same no matter the proportion of the sides.
Hope this helped! Let me know if you have any questions :)
Answer:
<em>The slope of the line is </em><em />
Step-by-step explanation:
<u>The Slope of a Line
</u>
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:
It's given the points (1,3) and (-2,2). Let's calculate the slope:
Calculating:
The slope of the line is
First turn any mixed numbers into improper fractions. 1 3/4 would be 7/4. Becuase you multiply the whole number by the denominator and then add the numerator.
So now you have 7/4 divided by 2/5. Whenever you divide, you flip the 2nd fraction upside down... known as the reciprocal. And after that you <em>multiply </em>the first number by the upside down 2nd number.
So now you have 7/4 X 5/2. When multiplying, just multiply the numerators across and the denominators across. As your answer, you get 35/8 or 4 3/8.
<span>For this question you are looking for the value of K. The question is asking what number multiplied with 8 and added with 12 equals 48. So the equation is:
12+8(K)=48
To solve the problem you need to balance the equation by doing the opposite of the equation to the answer until only K remains.
We start with the 12. The equation wants us to add 12 so we subtract it from both sides instead and get the new equation:
12+8(K)=48-12 : 8(K)=36
Now we need to get rid of the 8. The equation wants us to multiply by 8 so we divide it from both sides instead and get the new equation:
K=36/8 : K=4.5
So the answer is K=4.5. Now just to make sure we test the equation with the answer.
12+(8x4.5)=48
12+36=48
48=48
Since the two match we have confirmed that K does indeed equal 4.5.</span>
True because just plug in (1,3) for x and y and solve it out.
Plugging it in gives you 2(1)-3(3)=-7 which simplifies to 2-9=-7, which is true.