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3 years ago

A number to the 9th power divided by the same number to the 6th power equals 64. What is the number?

1 answer:

5 0

Use an equation:
x^9/x^6=64
x^(9-6)=64
x^3=64
x=4

note that x^9 means "x to the power of 9", same with other ones

the number is 4.

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REY [17]

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2 years ago

-4.2x 31.5=165.1 solve

Ymorist [56]

Answer:

x = −1.24

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−132.3x=165.1

Step 2: Divide both sides by -132.3.

$\frac{-132.3x}{-132.3} = \frac{165.1}{-132.3} \\$

x= -1.247921

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2 years ago

In 3/4 pound of spice mix, there are 5/6 cups of cinnamon.

earnstyle [38]

Answer:

$9\div 10$

Step-by-step explanation:

$5\div 8$

to get cinnamon qty in the spice we do $5\div 6\div 3\div 4$

5 0

2 years ago

12. For angle A it is known that sin(A)>0 and tan (A) <0. If A is drawn in standard position, in which quadrant

Dafna11 [192]

Answer:

Quadrant 2

Step-by-step explanation:

Sin = opp/hyp and opp is positive in quadrants 1 & 2.

Tan = opp/adj - we need one of these values to be positive and the other negative. adj is negative in quadrants 2 & 3.

Quadrant 2 is found in both of the scenarios that we need to occur.

8 0

3 years ago

Write an equation of a circle that has the center at the origin and goes through (-3,-6)

dexar [7]

Answer:

$x^{2} +y^{2} = 45$

Step-by-step explanation:

General Equation of circle is

$(x-x_1)^{2} +(y-y_1)^{2} = r^{2}$ ----------- (1)

Here

$(x_1, y_1)= (0, 0)$

Radius r is distance from origin (x1, y1) to point (x2, y2)=(-3, -6)

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

$r= \sqrt{(-3-0)^{2} + (-6-0)^{2} }$

$r= \sqrt{9+36}$

$r=\sqrt{45}$

Substituting values in equation (1)

$(x-0)^{2} +(y-0)^{2} =( \sqrt{45})^{2}$

$x^{2} +y^{2} = 45$

6 0

2 years ago