Answer:
36cm(squared)
Step-by-step explanation:
The top rectangle is 8*(6-4)2=16cm
the bottom is the square which is 4*5=20cm
16+20=36cm(squared)
5 and 4/5 =
5 * /5 (the five as a denominator) = 25.
The 25 is added to the numerator. 25 + 4 = 29. The answer over the denominator (it stays the same) is 29/4
1.
<span>(x-4)^2 -28 = 8
</span>(x-4)^2 = 8 + 28 = 36
<span>(x-4) = +/-6
x = 6 + 4 or -6 + 4
x = 10 or -2
2.
Mistake in </span><span>Step 5: x – 3 = 16
</span><span>Step 4: (x – 3)² = 16
</span><span>Step 5: (x – 3) = +/-4
Step 6: x = 4 + 3 or -4 + 3
Step 7: x = 7 or -1
3.
</span><span>x^2 - 4x + 3 = 0
</span><span>quadratic eqn x = [-b +/- sqrt(b^2-4ac)]/2a
where in this case
a = 1, b = -4, c = 3
x = </span> [-(-4) +/- sqrt((-4)^2-4*1*3)]/2*1
= [4 +/- sqrt(16 - 12)]/2
<span>= [4 +/- sqrt(4)]/2
= [4 +/- 2]/2
= 6/2 or 2/2
= 3 or 1
</span>
Product: when you have the same base, the bases stay the same and you add the exponents together
Quotient: <span>When dividing terms that also contain coefficients, divide the coefficients and then divide variable </span>powers with the same base<span> by subtracting the </span><span>exponents (exponents from the denominator from numerator)</span>
Here, we need to set up the ratios.
height / width = 3 / 4
So, what is the width if the height is 4.5?
4.5 / width = 3/ 4
Cross multiply
18 = 3 width
6 = width