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galben [10]
3 years ago
14

Solving quadratic equation using the completing the square (a).9k²+5k=2​

Mathematics
1 answer:
Margarita [4]3 years ago
6 0

Answer:

,

Step-by-step explanation:

everything can be found in the picture

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What is the slope of the line passing through the points (5,7) and (−1,19)?
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The slope is -2..........
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A recipe to make 12 cupcakes includes: ¼ cup of butter, 1¼ cups of flour, and 2/3 cup of sugar. What amount of each ingredient i
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5 0
3 years ago
Help me pleaseeeeeeeee<br>​
natka813 [3]

Answer:

20 m

Step-by-step explanation:

Here, we will take,

The distance from top of the building to the tip of the shadow = Hypotenuse = 37 m

The length of shadow of the building = base = 32 m

let, height of the building = perpendicular = p

According to the Pythagoras Theorem,

(Hypotenuse)² = (Base)² + (Perpendicular)²

<em>h</em><em>²</em><em> </em><em>=</em><em> </em><em>b²</em><em> </em><em>+</em><em> </em><em>p²</em>

<em>p²</em><em> </em><em>=</em><em> </em><em>h²</em><em> </em><em>-</em><em> </em><em>b</em><em>²</em>

<em>p²</em><em> </em><em>=</em><em> </em><em>37</em><em>²</em><em> </em><em>-</em><em> </em><em>32</em><em>²</em><em> </em>

<em>p²</em><em> </em><em>=</em><em> </em><em>1</em><em>3</em><em>6</em><em>9</em><em> </em><em>-</em><em> </em><em>1</em><em>0</em><em>2</em><em>4</em>

<em>p²</em><em> </em><em>=</em><em> </em><em>34</em><em>5</em>

<em>p </em><em>=</em><em> </em><em>1</em><em>8</em><em>.</em><em>5</em><em>7</em>

and if we round the solution to nearest tenth it will be 20.

<u>Hence,</u><u> </u><u>height </u><u>of </u><u>the </u><u>building </u><u>is </u><u>2</u><u>0</u><u> </u><u>m.</u>

7 0
3 years ago
The amount of sales tax varies directly with the cost of the purchase. If the sales tax is $3.80 on a purchase of $76 what would
polet [3.4K]

Answer:

The sales tax is equal to \$2.3

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Let

y-----> the cost of the purchase

x ----> the sales tax

step 1

Find the value of k

For y=76, x=3.80

substitute

k=y/x

k=76/3.8

k=20

The linear equation is equal to

y=20x

step 2

what would be the sales tax on a purchase of $46

For y=46, x=?

substitute in the equation

46=20x

x=46/20

x=\$2.3

7 0
3 years ago
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