All categories

2 years ago

Use the FOIL pattern to find the product.

Mathematics

1 answer:

blsea [12.9K]2 years ago

7 0

Answer:

Step-by-step explanation:

First

Outer

Inner

Last

3x*3x=9x^2

3x*-8=-24x

6*3x=18x

6*-8=-48

9x^2-24x+18x-48

9x^2-6x-48

You might be interested in

Eight times a number plus five another number is -13. The sum of the two numbers is 1. What are the numbers?

Pani-rosa [81]

Eight *(a number) plus 5*(another number) is -13.

translates to:

8(x) + 5(y) = -13

The sum of (the number) and (the other number) is 1.

translates to:

(x) + (y) = 1

We have a system of two equations involving two unknowns: x and y.

$\rm 8x+5y=-13\\
~~x+~~y=~~~~1$

We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.

We'll multiply the second equation by -8 so that the x's match up.

$\rm ~~~8x+5y=-13\\ -8x-8y=-8$

When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.

$\rm -3y=-21$

Divide by -3,

$\rm y=7$

Plug back into one of your original equations to find the value of x,

$\rm x+y=1\\
x+7=1$

Subtract 7,

$\rm x=-6$

8 0

2 years ago

what is an equation for the line that passes through (-1,-4) and (1,4)? Write the equation in slope-intercept form.

hichkok12 [17]

To find the slope use the formula Y2-Y1 --------- X2-X1 (-1,-4) (1,4) 4- -4 = 8 ------------- 1- -1 = 2 8/2=4 This will be your slope Y=4x Now we must figure out the y-intercept using the formula Y-y1=slope(x-x1) Y- -4= 4(x- -1) Y+4= 4x + 4 The 4 distributes to the x and -1 Y=4x +4 -4 Y= 4x This is your answer in slope intercept form. P.S if you have a number minus a negative number it makes it a positive number

7 0

3 years ago

A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

5 0

2 years ago

HI I NEED HELP WITH THIS!!! SOMEONE ANSWER ASAP PLS

padilas [110]

10
the hypotenuse is the largest side
so out of 6,8,10
10 is the largest

5 0

2 years ago

Solve by completing the square.

enot [183]

Answer:

x^2 -8x -5 = -3

x^2 -8x -2 = 0

We complete the square by:

1) Moving the "non X" term to the right:

x^2 -8x = 2

2) Dividing the equation by the coefficient of X²

The coefficient of x is 1 so we don't do anything

3) Now here's the "completing the square" stage in which we:

• take the coefficient of X

that is -8

• divide it by 2

-8 ÷ 2 = -4

• square that number

-4*-4 = 16

• then add it to both sides of the equation.

x^2 -8x +16 = 2 +16

That becomes

(x -4)^2 = 18

we take the square root of both sides:

(x -4) = sqr root (18)

x1 = sqr root (18) +4

AND

(x+4) = sqr root (18) -4

x1 = sqr root (18) +4 = 4.2426406871 + 4 = 8.2426406871

x2 = sqr root (18) -4 = = 4.2426406871 - 4 = .2426406871

Step-by-step explanation:

8 0

2 years ago