The question is in the pic

Helppp its due nowwww

Irina-Kira [14]

Answer:

$9 x^4 y^6$

Step-by-step explanation:

Recall the Exponent Law:

$a^m \times a^n = a^{m +n}$

Solution:

$3x^2y^3 \times 3x^2y^3 \\ ( 3 \times 3 )x^{2 +2} y^{3 +3} \\ 9 x^4 y^6$

6 0

2 years ago

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ASAP Which absolute value function, when graphed, will be wider than the graph of the parent function, f(x) = |x|?

Natalija [7]

Is there something missing on the third option? None of the other options are wider

4 0

2 years ago

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If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?

Leni [432]

Answer:

1.6 units

Step-by-step explanation:

Coordinates of A : (-1,1)

Coordinates of B : (3,2)

Coordinates of C :( -1,-1)

Now to find the length of the sides of the triangle we will use distance formula :

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

To find length of AB

A = $(x_1,y_1)=(-1,1)$

B= $(x_2,y_2)=(3,2)$

Now substitute the values in the formula:

$d =\sqrt{(3-(-1))^2+(2-1)^2}$

$d =\sqrt{(4)^2+(1)^2}$

$d =\sqrt{16+1}$

$d =\sqrt{17}$

$d =4.12$

Now to find length of BC

B= $(x_1,y_1)=(3,2)$

C = $(x_2,y_2)=(-1,-1)$

Now substitute the values in the formula:

$d =\sqrt{(-1-3)^2+(-1-2)^2}$

$d =\sqrt{(-4)^2+(-3)^2}$

$d =\sqrt{16+9}$

$d =\sqrt{25}$

$d =5$

Now to find length of AC

A = $(x_1,y_1)=(-1,1)$

C = $(x_2,y_2)=(-1,-1)$

Now substitute the values in the formula:

$d =\sqrt{(-1-(-1))^2+(-1-1)^2}$

$d =\sqrt{(0)^2+(-2)^2}$

$d =\sqrt{4}$

$d =2$

Thus the sides of triangle are of length 4.12, 5 and 2

Now to find area of triangle we will use heron's formula :

To calculate the area of given triangle we will use the heron's formula :

$Area = \sqrt{s(s-a)(s-b)(s-c)}$

Where $s = \frac{a+b+c}{2}$

a,b,c are the side lengths of triangle

a = 4.12

b=5

c=2

Substitute the values

Now substitute the values :

$s = \frac{4.12+5+2}{2}$

$s =5.56$

$Area = \sqrt{5.56(5.56-4.12)(5.56-5)(5.56-2)}$

$Area = 3.99$

Now to find the height of altitude corresponding to side BC

So, formula of area of triangle $=\frac{1}{2} \times Base \times Height$

Since Area = 3.99 square units

So, $3.99 =\frac{1}{2} \times BC \times Height$

So, $3.99 =\frac{1}{2} \times 5\times Height$

$3.99 =2.5 \times Height$

$\frac{3.99}{2.5}=Height$

$1.596=Height$

Thus the altitude corresponding to the BC is of length 1.596 unit ≈ 1.6 units

Thus Option D is correct.

7 0

2 years ago

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Multiply and simplify to lowest terms when appropriate 11/9× 27/55

arsen [322]

11/9 * 27/55
First, you need to transform this expression to one fraction, by multiplying the numerators between each other and put the answer as one numerator, then the denominators and put the answer as one denominator.
11/9 * 27/55 = 297/495.
Now comes the simplifying. You need to divide both numerator and denominator by the same number, till you get an irreducible fraction (a fraction In which numerator and denominator can't be divided by the same number to get another whole number).
In this case, both 297 and 495 are divisible by 99.
297/99 = 3 and 495/99 = 5.
So 297/495 = 3/5.
3 and 5 can't be divided by a same number, so 3/5 represents the irreducible and simplified fraction.

You can re-check your answer (very important):
11/9 * 27/55 = 0.6
297/495 = 0.6
3/5 = 0.6
11/9*22/55 = 297/495 = 3/5
The answer has been approved.

Hope this Helps! :)

5 0

3 years ago

Using Factoring, solve the equation.<br><br> 2x^2 + 10x = (-8)

harkovskaia [24]

Hello there!

We first want to start by setting the equation equal to 0.

We do this by adding/subtracting the costant to the right of the equal sign to both sides, like this:

2x^2+10x(+8) = (-8)(+8)

We now have 2x^2+10x+8=0

Now we find the GCF, which is 2 in this case because 2 goes into 2, 10, and 8. Now divide all terms by 2.

Now we have x^2+5x+4=0

To further factor we now need to take the last term (4) and the middle term (5) and find out what multiplies to be 4 and adds to be 5. The answer to this is 4 and 1.

Now we are left with (x+4) and (x+1). We have no leading coefficient to divide the x by, so now we set each new equation equal to 0 and solve by getting x by itself. It will look like this:

x+4=0, x+4(-4)=-4

x+1=0, x+1(-1)=-1

After factoring, your answers will be x=-4 and x=-1.

Hope this helps!

4 0

2 years ago