Answer:
Step-by-step explanation:
There is a specific order to do these kind of problems..
first, we do everything in parenthesis...
(9 + 8) + 6/3 - 7 * 2
17 + 6/3 - 7 * 2
now, starting from the LEFT side, do all multiplication and division in the order it comes
17 + 2 - 14
now, starting from the LEFT side, do all addition and subtraction in the order it comes
19 - 14 = 4
so ur answer is 4
Learn this...order of operations....this is the order u do these problems in..
PEMDAS
P = parenthesis
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
keep in mind, multiplication/division are done from left to right....u do not have to do multiplication before u do division....it just depends on which comes first when starting from the left side.....that also applies to addition/subtraction
★ QUADRATIC RESOLUTION ★
Roots of the given equation will be imaginary because it's discriminant is less than 0 and hence it'll yield imaginary solutions
D < 0
b² - 4ac < 0
4² - 4 ( 5 ) < 0
16 - 20 < 0
-4 < 0
Hence it's character is stated above
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
[3.2] [2.7] [2.9] [4.8]
Since they are all of greatest integer functions i.e.
f(x) = [x]
It is known as greatest integer function whose value is always less than or equal to 'x'.
So, [3.2]=3
[2.7]=2
[2.9]=2
[4.8]=4
so, we can see that [2.7] and [2.9] is a equivalent pair.
Hence, Option 'B' is correct.
Let's simplify step-by-step.<span><span><span><span>8.9x</span>−5</span>−<span>6.8x</span></span>+8</span><span>=<span><span><span><span><span><span>8.9x</span>+</span>−5</span>+</span>−<span>6.8x</span></span>+<span>8
</span></span></span>Combine Like Terms:<span>=<span><span><span><span>8.9x</span>+<span>−5</span></span>+<span>−<span>6.8x</span></span></span>+8</span></span><span>=<span><span>(<span><span>8.9x</span>+<span>−<span>6.8x</span></span></span>)</span>+<span>(<span><span>−5</span>+8</span>)</span></span></span><span>=<span><span>2.1x</span>+<span>3
The simplified answer is </span></span></span><span><span>2.1x</span>+<span>3</span></span>
<h2>Question 9:</h2>
1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12
2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).
3. Simplify: 1/2 (12) (44)=1/2(528)=264
Area of whole figure is 264 square mm.
<h2>Question 10:</h2>
Literally same thing but with trigonometry.
1. Use sine to find out length of dotted line: sin(60°)=x/12
2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)
3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²
4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6
5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)
6: Simplify: 1/2 (10.4) (66) =343.2
7: Area of figure is about 343.2
Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.
