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SpyIntel [72]
3 years ago
8

Write x2-8+13=0 in the form (x-a)2=b

Mathematics
1 answer:
egoroff_w [7]3 years ago
7 0

Answer:

(x-4)2=-13

Step-by-step explanation:

2x+13=8

2x-8=-13

2(x-4)=-13

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Order these objects from heaviest to lightest. (Note: 1 pound = 16 ounces, 1 kilogram ≈ 2.2 pounds ,and 1 Tom = 2,000 pounds) it
Leya [2.2K]

Answer:

Ordering of objects from heaviest to lightest are  ⇒ <u> school bus weight 9 tons, elephant 5,500 kilograms, horse 1,100 pounds and grand piano 15,840 ounces.</u>

Step-by-step explanation:

Given:

School bus weight = 9 tons.

Horse = 1,100 pounds.

Elephant = 5,500 kilograms.

Grand piano = 15,840 ounces.

Now, order these objects from heaviest to lightest.

So, we need to take a common unit to order the items:

Thus, we take pounds as a common unit.

16 ounces = 1 pound.

1 kilogram = 2.2 pounds.

1 ton = 2,000 pounds.

Then, we calculate the weight of all items in pounds:

School bus 9 tons  =9\times 2000=18000\ pounds.

Horse 1100 pounds  =1100\ pounds.

Elephant 5500 kilograms  =5500\times 2.2=12100\ pounds.

Grand piano 15840 ounces  =15840\div 16=990\ pounds

According to question:

Ordering from heaviest to lightest:

<em>School bus = 18000 pounds, elephant = 12100 pounds, horse = 1100 pounds and grand piano = 990 pounds.</em>

Therefore, ordering of objects from heaviest to lightest are  ⇒  school bus weight 9 tons, elephant 5,500 kilograms, horse 1,100 pounds and grand piano 15,840 ounces.

7 0
3 years ago
Use the distributive property to write an equivalent expression for -1/2 (4 minus 6x)
Softa [21]

Answer:

<h2>3x - 2</h2>

Step-by-step explanation:

<em>The distributive property</em>:

<em>a(b + c) = ab + ac</em>

-\dfrac{1}{2}(4-6x)=\left(-\dfrac{1}{2}\right)(4)+\left(-\dfrac{1}{2}\right)(-6x)=-2+3x

3 0
3 years ago
Jika garis 4x+ay = 8 dan ay=9x + 5 saling tegak lurus,maka nilai a
barxatty [35]

We are given equations as

4x+ay=8

Firstly, we will write in slope intercept form of line

y=mx+b

4x+ay=8

Subtract both sides by 4x

4x+ay-4x=-4x+8

ay=-4x+8

now, we can divide both sides by a

y=-\frac{4}{a} x+\frac{8}{a}

we can find slope

so, we get

m_1=-\frac{4}{a}

we are given second equation as

ay=9x+5

Firstly, we will write in slope intercept form of line

y=mx+b

divide both sides by a

y=\frac{9}{a} +\frac{5}{a}

we can find slope

m_2=\frac{9}{a}

we are given both lines are perpendicular

so, the multiplication of their slopes must  be -1

m_1\times m_2=-1

we can plug values

-\frac{4}{a}\times \frac{9}{a}=-1

now, we can solve for a

\frac{36}{a^2}=-1

Multiply both sides by a

\frac{36}{a^2}\times a^2=1\times a^2

36= a^2

now, we can solve for a

we get

a=-6,a=6...............Answer

4 0
4 years ago
9 of 12
Deffense [45]

Answer:

40 flapjacks

Step-by-step explanation:

Given the recipe :

Recipe: Makes 10 flapjacks

120 g margarine

100 g sugar

150 mL syrup

225 g oats

40 g sultanas

Given that all other ingredients are kept Constant.

225g of oats produces 10 flapjacks

0.9 kg of oat = 0.9 * 1000 = 900g oat

If :

225 g = 10 flapjacks

900 g = x

Cross multiply :

225x = 900 * 10

225x = 9000

x = 9000 / 225

x = 40

40 flapjacks

7 0
3 years ago
Find the length and width of a rectangle whose perimeter is 22ft and area of 30sq ft
Debora [2.8K]
L=5
W=6
2L+2W=22
L x W =30

8 0
4 years ago
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