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2 years ago

7 less than the square of a number.

Mathematics

1 answer:

Assoli18 [71]2 years ago

3 0

Answer:

Step-by-step explanation:

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12-9+c=12 what value makes the equation true?

ElenaW [278]

Answer: c = 9

Step-by-step explanation:

12-9=3+9=12

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3 years ago

Simplify each expression.<br>- 13 x 12

Paraphin [41]

Answer:

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Step-by-step explanation:

You have to multiply both figures and then choose the symbol on the largest number, its that symbol. Hope u choose the correct one :p

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2 years ago

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kirill115 [55]

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2 years ago

Rachel bought 7 cookies and 5 muffins. The equation 7c+5m=10.45 represents the amount of money she spent. Jack bought 3 cookies

malfutka [58]

M=1.25
c=0.6
I got this by creating a systems of equations and I used the substitution method

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2 years ago

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.

konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

$BC^2=BD\cdot AB.$

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

$x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.$

Take positive value x. You get

$AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.$

2. According to the previous theorem,

$AC^2=AD\cdot AB.$

Then

$AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

Answer: $AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

$CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D$

This means that you cannot find solutions of this equation. Then CD≠2 cm.

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3 years ago

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