Can someone help me

Identity the coefficient of -24x⁷y³

Andrei [34K]

Answer:

-24

Step-by-step explanation:

Coefficient is the number used to multiply a variable, so -24 is the coefficient and x^7y^3 are the variables.

6 0

3 years ago

How do you simplify this expression?

alisha [4.7K]

Solve the terms in parentheses first. We'll start on the denominator.

The denominator has an exponent for a fraction that also includes exponents. To multiply exponents within parentheses that are raised to a power, use this rule:

$(x^a)^b = x^{a \cdot b}$

Simplify the denominator:

$(\frac{3^4}{7^3} )^2 = \frac{3^8}{7^6}$

Solve the fractions in the numerator:

$(\frac{3}{5})^5 = \frac{3^5}{5^5}$

$(\frac{9}{7})^2} = \frac{9^2}{7^2}$

The problem should now read:

$\frac{\frac{3^5}{5^5} \cdot \frac{9^2}{7^2}}{\frac{3^8}{7^6}}$

There is a denominator in a denominator. We can bring that to the numerator of the overall fraction:

$\frac{\frac{3^5}{5^5} \cdot \frac{9^2}{7^2}}{\frac{3^8}{7^6}} = \frac{\frac{3^5}{5^5} \cdot \frac{9^2}{7^2} \cdot {7^6}}{3^8}}$

Using a calculator, simplify the numerator:

$\frac{3^5}{5^5} \cdot \frac{9^2}{7^2} \cdot {7^6} = \frac{19683}{7}$

The fraction should now read:

$\frac{\frac{19683}{7}}{3^8}$

There is a denominator in the numerator. This can be brought down to the overall denominator:

$\frac{\frac{19683}{7}}{3^8} = \frac{19683}{3^8 \cdot 7}$

Factor 19683:

$19683 = 3 \cdot3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 = 3^9$

$\frac{19683}{3^8 \cdot 7} = \frac{3^9}{3^8 \cdot 7}$

Simplify the exponents:

$\frac{3^9}{3^8} = 3$

The following fraction will be your answer:

$\boxed{\frac{3}{7}}$

8 0

4 years ago

Read 2 more answers

If x^2 + y^2 = 25, find the equation of the line tangent to the circle when x = -4

bekas [8.4K]

Answer:

In the point (-4,3) tangent is : y=4/3x+25/3 i.e, y=1.33x+8.33

In the point (-4,-3) tangent is: y=-4/3x-25/3 i.e, y=-1.33x-8.33

Step-by-step explanation:

The center of the circle is in (0,0), because x^2+y^2=(x-0)^2+(y-0)^2=25. And the radius is 5, because 5^2=25.

We have first center: (x1,y1)=(0,0)

The point of the tangent is in x=-4, so x^2+y^2=25 is 16+y^2=25,i.e y=3 and y=-3. Like you can see we have 2 tangents to the circle when x=-4. the point (-4,3) and (-4,-3).

We will do for the first point:

The point of tangent is (x2,y2)=(-4,3)

The gradient of the radius

mr=(y2-y1)/(x2-x1)=(3-0)/(-4-0)=-3/4

The gradient of the tangent mt is:

mr*mt=-1 (they are ortogon)

mt=-1/mr=-1/(-3/4)=4/3

the equation of the line trought one point is:

y-y2=k(x-x2), where k is mt,i.e. k=4/3

y-3=4/3(x-(-4))

y=4/3x+16/3+3

y=4/3x+25/3

y=1.33x+8.33

Now for the 2nd point (-4,-3),

mr=-3/-4=3/4

mt=-4/3

y+3=-4/3(x-(-4))

y=-4/3x-16/3-3

y=-4/3x-25/3

y=-1.33x-8.33

7 0

3 years ago

Writing is not that easy...but grammarly can help! this sentence is grammatically correct, but it's wordy and hard to read :0

Alla [95]

Answer:

wow 1555

Step-by-step explanation:

no no dont touch me there this is y uhbeyufbeb

4 0

3 years ago

Simplify. mn^0 A. 0 B. 1 C. m D. mn

bazaltina [42]

That Would End Up Being B. 1 , Because Every/Any Number That Is To The Power Of Zero (0) , Is Equal To 1.

8 0

4 years ago

Read 2 more answers