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3 years ago

Express the product of M and N algebraically

Mathematics

1 answer:

tatuchka [14]3 years ago

5 0

How do you express the product if there is no numbers?

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Solve this system of linear equations. separate x and y values with a comma. 7x=-67-11y 5x=-73-11y

Aleks [24]

Answer:

3, -8

(x is equal to 3 and y is equal to -8)

Step-by-step explanation:

The system:

{ 7x=-67-11y

{ 5x=-73-11y

Finding a value for x:

7x=-67-11y -> x = $-\frac{67}{7}$ - $\frac{11y}{7}$

Solving for y by plugging in our x:

[Equation] 5x = -73 -11y

[Plug-in] 5( $-\frac{67}{7}$ - $\frac{11y}{7}$ ) = -73 -11y

[Distribute the 5] $-\frac{335}{7}$ - $\frac{55y}{7}$ = -73 -11y

[Multiply by 7] 7 ( $-\frac{335}{7}$ - $\frac{55y}{7}$ ) = (-73 -11y) 7

[Simplify] -335 - 55y = -511 - 77y

[Add 335 and 77y to both sides] 22y = -176

[Divide by 22] y = -8

Plug in our y to solve for x:

5x = -73 -11y

5x = -73 -11(-8)

5x = -73 + 88

5x = 15

x = 3

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5 0

3 years ago

What is p+1 +8 = 8p+16

padilas [110]

Answer:

Step-by-step explanation:

p+1 +8 = 8p+16

p+9 = 8p+16

9-16 = 8p-p

-7=7p

-7/7 =p

-1=p

5 0

3 years ago

Solve for y x=y^2+4y

Lorico [155]

$x=y^2+4y\\ y^2+4y-x=0\\\Delta=4^2-4\cdot1\cdot(-x)=16+4x\\\\
1.\ \Delta0\\
\sqrt{\Delta}=\sqrt{16+4x}=\sqrt{4(4+x)}=2\sqrt{x+4}\\
y_1=\frac{-4-2\sqrt{x+4}}{2\cdot1}=-2-\sqrt{x+4}\\
y_2=\frac{-4+2\sqrt{x+4}}{2\cdot1}=-2+\sqrt{x+4}\\$

-----------------------------------------------------

$x=y^2+4y\\ y^2+4y-x=0\\
y^2+4y+4-4-x=0\\
(y+2)^2=x+4\\
y+2=\sqrt{x+4} \vee y+2=-\sqrt{x+4}\\
y=-2+\sqrt{x+4} \vee y=-2-\sqrt{x+4}\\$

4 0

4 years ago

On a map, the distance from Akron to Cleveland measures 2 centimeters. What is the actual distance if the scale of the map shows

WINSTONCH [101]

To answer this question you will set up the proportion shown in the attached picture.

There are 2 ways to solve this.

1. You can create an equivalent ratio by determining the factor that will take you from 1 cm to 2 cm and apply his factor to the 19 miles.

The answer would be 19 x 2= 38 miles for 2 centimeters.

2. The second strategy is to use cross products to get an answer. You multiply the number diagonal from each other. See picture for this work.

4 0

4 years ago

Help me please !!!! (:

riadik2000 [5.3K]

3x=x+40
Subtract x from both sides
2x=40
Divide both sides by 2nto get x by itself
x=2
Plug 2 in for x
m∠4 = (3x)
m∠4 = 3(2)
Solve
m∠4 = 6

8 0

3 years ago