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3 years ago

Helpp

Mathematics

1 answer:

vovangra [49]3 years ago

8 0

The answer is c trust

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An expression is shown, where a is a positive number less than 1, b is less than 0, and |a|<|b|.

Ipatiy [6.2K]

Answer:

B and D

Step-by-step explanation:

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4 years ago

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Solve the proportion. Show your work. PLEASE

Dmitrij [34]

$\bf \cfrac{3}{x+1}=\cfrac{5}{11}\implies (11)3=(x+1)5\implies 33=5x+5
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28=5x\implies \cfrac{28}{5}=x\implies 5\frac{3}{5}=x$

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3 years ago

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A fresh cup of coffee is placed on a table to cool. The table below shows the relationship between the temperature of the coffee

Anon25 [30]

y = 200 * (0.75) ^x

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3 years ago

Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

First, we find BD, where B(-1,4) and D(2,4).

$BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3$

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

$AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5$

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

$A=\frac{1}{2}\times {\text{base}}\times {\text{height}}$

$A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5$

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

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3 years ago

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Write an equation for the problem and then solve.

AVprozaik [17]

Answer:

first rectangle: 18 by 9
second rectangle 21 by 6
x = 9

Step-by-step explanation:

The perimeter in each case is double the sum of the side dimensions. Since the perimeters are equal, the sum of side dimensions will be equal:

2x +x = (x +12) +(x -3)

3x = 2x +9 . . . . . . . . collect terms

x = 9 . . . . . . . . . . . . . subtract 2x

Given this value of x, the dimensions of the first rectangle are ...

{2x, x} = {2·9, 9} = {18, 9}

And the dimensions of the second rectangle are ...

{x+12, x-3} = {9+12, 9-3} = {21, 6}

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4 years ago