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3 years ago

6(n+4) use this distributive property to rewrite each algebraic expression

Mathematics

1 answer:

Natali [406]3 years ago

5 0

Answer:

6*n+6*4 which simplifies to 6n+24

Step-by-step explanation:

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Skye ran r laps today at soccer practice. Nadine ran five fewer laps than Skye. If Nadine ran eight laps at practice, which of t

jeka94

Answer: r - 5 = 8

Step-by-step explanation:

From the question, we are informed that Skye ran r laps today at soccer practice while Nadine ran five fewer laps than Skye.

If Nadine ran eight laps at practice, the equation that can be used to find how many laps Skye ran will be:

r - 5 = 8

This means Skye ran 13 laps

6 0

3 years ago

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yequals25minusxsquared. What are

Karolina [17]

Answer:

The answer is " $\bold{\frac{32}{3}}\\$ "

Step-by-step explanation:

The rectangle should also be symmetrical to it because of the symmetry to the y-axis The pole of the y-axis. Its lower two vertices are (-x,0). it means that

and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:

The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).

The area of the rectangle:

$A(x)=(2x)(16-x^2)\\\\A(x)=32x-2x^3$

The local extremes of this function are where the first derivative is 0:

$A'(x)=32-6x^2\\\\32-6x^2=0\\\\x= \pm\sqrt{\frac{32}{6}}\\\\x= \pm\frac{4\sqrt{3}}{3}\\\\$

Simply ignore the negative root because we need a positive length calculation

It wants a maximum, this we want to see if the second derivative's profit at the end is negative.

$A''\frac{4\sqrt{3}}{3} = -12\frac{4\sqrt{3}}{3}$

8 0

3 years ago

Use the drop-down menus to completel the statements about the triangle shown.

kondaur [170]

Answer:

The legs are a and b, the hypotenuse is c

Step-by-step explanation:

The legs of a right triangle are the two smaller sides. The hypotenuse is the longest side it is also always opposite of the 90-degree angle. If you need to find the lengths of sides remember the Pythagorean theorem, .

5 0

3 years ago

Read 2 more answers

Round 78,879 to the nearest ten

Inessa [10]

The answer is 78,880

4 0

3 years ago

Read 2 more answers

if cot theta = -24/7 and cos theta < 0, name the quad in which theta lies, then find the exact value of csc theta

NemiM [27]

Cot θ = -24/7 and cos θ < 0

"cos θ < 0" means cosine is negative

Remember osmething like "ALL students Take Calculus"?

all is positive in quadrant 1
sine/cosecant is positive only in quadrant 2
tangent/cotangent is positive only in quadrant 3
cosine/secant is positive only in quadrant 4

since cot(angent) is the reciprocal of tangent, tangent must also be negative.

tangent is negative in quadrants II and IV
cosine is negative in quadrants II and III

therefore, θ must lie in quadrant II.

remember the tan θ = y / x. it is the y-coordinate divided by the x-coodinate. the y-coordinate would be the height of this 90 degree triangle that forms. the x-coordinate would be the bottom leg of the 90 degree triangle

then cot θ = x / y. therefore, cot θ = -24 / 7 means x = -24 and y = 7. we draw a triangle with these dimensions.

csc θ = r / y = hypotenuse over opposite (when you view the reference angle labeled as the one to base the hypotenuse/oppoiste on) because it is the reciprocal of sine

the hypotenuse can be found w/ pythagorean theorem

hypotenuse = √[(-24)² + 7²] = 25

therefore,
cot θ = 25/7

4 0

3 years ago