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2 years ago

Cross product property

Mathematics

1 answer:

Klio2033 [76]2 years ago

8 0

Using the cross product property on this proportion gives us the following equation:

20 (2x - 9) = 10 (9)

Use the distributive property and multiply

40x - 180 = 90

Add 180 to both sides

40x = 270

Divide 40 from both sides

x = 270/40

Simplify fraction

x = 27/4

This should be your answer. Let me know if you need any clarifications, thanks!

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The size of a mumps virus is

ohaa [14]

Answer:

$1.9 \times {10}^{7} meters$

is the right answer

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1 year ago

Please help me how do i solve 0.75a = -9 using a two step equation

Harrizon [31]

You would divide both sides by 0.75, to get a=-12.

I think this is a one- step equation, but that is the only way I think you can solve it.

8 0

2 years ago

Read 2 more answers

Plz help me will give crown.

Contact [7]

Answer:

1/3

Step-by-step explanation:

-4/15+3/5

-4/15+3×3/5×3

-4/15+9/15

-4+9/15

5/15

1/3

Hope this helps!

7 0

3 years ago

Read 2 more answers

The areas of the squares adjacent to two sides of a right triangle are shown below.

UkoKoshka [18]

Answer:

$85\:\mathrm{units^2}$

Step-by-step explanation:

All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.

All right triangles must follow the Pythagorean Theorem $a^2+b^2=c^2$ where $c$ is the hypotenuse of the triangle.

Therefore, let $h$ be the side length of this largest square. Since the area of a square with side length $s$ is given by $s^2$ , $h^2$ will represent the area of the square:

$\sqrt{35}^2+\sqrt{50}^2=h^2=\boxed{85\:\mathrm{units^2}}$

4 0

2 years ago

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago