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ololo11 [35]
3 years ago
6

Which equation is y= 2x ^2 - 8x +9 rewritten in vertex form.

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0
<span>y= 2x ^2 - 8x +9

</span>y = a(x - h)2 + k, where (h, k) is the vertex<span> of the parabola
</span>so
y= 2x ^2 - 8x + 9
y= 2x ^2 - 8x + 8 + 1
y = 2(x^2 - 4x - 4) + 1
y = 2(x - 2)^2 + 1 ....<---------<span>vertex form</span>
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If x=9 and y=−2, evaluate the following expression : 6x−8y
Mazyrski [523]

6(9)-8(-2)

6*9=54

8*(-2)=-16

54-16=38

38<-----

4 0
3 years ago
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the greatest volcanic eruption in recorded history took place in 1815 on the indonesian island of sumbawa, when the volcano tamb
algol [13]

Answer:

166\frac{2}{3}\ m

Step-by-step explanation:

Let

x ----> the average depth of the resulting layers of ash and rock

we know that

To find out the average depth, divide the cubic kilometers of molten rock by the area where all the ejected material fell.

so

\frac{100\ km^3}{600\ km^2}=\frac{1}{6}\ km

Convert to meters

Remember that

1\ km=1,000\ m

so

\frac{1}{6}\ km=\frac{1}{6}(1,000)=\frac{1,000}{6}=\frac{500}{3}\ m

Convert to mixed number

\frac{500}{3}\ m=\frac{498}{3}+\frac{2}{3}=166\frac{2}{3}\ m

7 0
3 years ago
2. Are these ratios equal? 6:10 and 5:20
Step2247 [10]

Answer:

No

Step-by-step explanation:

Think of it like this. 6/10 is 60% and 5/20 is 25%. These two values aren't the same.

3 0
3 years ago
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An isosceles triangle has a base of 4 and a height of x+3. If the area is 10, what is the value of x?
kicyunya [14]
The area of a <span>isosceles triangle:
S=(bh)/2, where b is for base (=4) and h is for height (=x+3)
We get the equation:
10=(4*(x+3))/2
10=(4x+12)/2
4x+12=20
4x=8
x=2
</span>
5 0
3 years ago
Joe's lunch at a restaurant costs $13.00 without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. W
choli [55]

Answer: $15.21

Step-by-step explanation:

Given

Joe's lunch cost $13.00 without tax

He tipped the waiter with 17% of bill without tax

So, the amount of tip is

\Rightarrow 13\times 17\%\\\Rightarrow 13\times 0.17\\\Rightarrow \$2.21

Total amount that food costs without tax is

\Rightarrow 13+2.21\\\Rightarrow \$15.21

7 0
3 years ago
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