Simplify the expression by adding or subtracting the linear expressions. 7x + 9x + 8 + 4x + 5 *

Help this is due today!

Luda [366]

Answer:

A

Step-by-step explanation:

Automatically if you use the intercept (where it cuts the line) which would be 3.

8 0

3 years ago

Match the equation with the step needed to solve it.

Harman [31]

1 subtract 1 2m - 1 = 3m
2 subtract 2 2m = 1 + m 
3 subtract m m - 1 = 2 
4 add 2 + m = 3 
5 subtract 2m -2 + m = 1 
6 add 1 3 = 1 + m
1.5.
2.4
3.1
42
56
63

3 0

3 years ago

PLSSSSSS HELPPPP!!!!!Determine the area of the composite figure shown.

katrin2010 [14]

Answer: 26.13yards^2

Step-by-step explanation:

To find the area of the bottom part we can use the diameter.

6 yards. Divide it by half to have the Radius.

Now we use the formula to find the area of a circle which is

A = 3.14*R^2 Pie times radius squared.

A = 3.14*3^2

A = 3.14*9

A = 28.26 Now that we have the area of the circle divide it by 2.

14.13

Now to find the area of an isosceles triangle we use the formula

A = Base * Height Divided by 2.

A = 6*4/2

A = 24/2

A = 12

12 + 14.13 = 26.13

7 0

3 years ago

The hypotenuse of a right angled triangle is 2√13 cm . If the smaller side is increased by 2 cm and the larger side is increased

White raven [17]

Statement:

The hypotenuse of a right angled triangle is 2√13 cm. If the smaller side is increased by 2 cm and the larger side is increased by 3 cm, the new hypotenuse will be √117 cm.

To find out:

The length of the larger side of the right angled triangle.

Solution:

Let us consider x as the smaller side and y as the larger side.

Then, in the right angled triangle,

x² + y² = (2√13)² ...(I) [By Pythagoras Theorem]

Now, if the smaller side is increased by 2 cm, then the smaller side will be (x + 2).

And if the larger side is increased by 3 cm, then the larger side will be (y + 3).

Then, in the new right angled triangle,

(x + 2)² + (y + 3)² = (√117)² [By Pythagoras Theorem]

or, x² + 2 × 2 × x + 2² + y² + 2 × 3 × y + 3² = (√117)²

or, x² + 4x + 4 + y² + 6y + 9 = (√117)²

or, x² + y² + 4x + 6y + 13 = (√117)²

Now, put the value of x² + y² from equation (I),

or, (2√13)² + 4x + 6y + 13 = (√117)²

or, (2 × 2 × √13 × √13) + 4x + 6y + 13 = (√117 × √117)

or, 52 + 4x + 6y + 13 = 117

or, 4x + 6y = 117 - 52 - 13

or, 4x + 6y = 52

or, 4x = 52 - 6y

or, x = $\frac {(52 - 6y)}{4}$ ...(II)

Now, put the value of x of equation (II) in (I),

x² + y² = (2√13)²

or, $\frac {(2704-624y +36y²)}{16}$ + y² = 52

or, $\frac {(2704-624y +36y² + 16y²)}{16}$ = 52

or, 52y²-624y + 2704 = 52 × 16

or, 52y² - 624y + 2704 - 832 = 0

or, 52y² - 624y + 1872 = 0

or, 52(y² - 12y + 36) = 0

or, y²-12y +36 = 0 ÷ 52

or, y²-12y +36 = 0

or, (y)² - 2 × 6 × y + (6)² = 0

or, (y - 6)² = 0

or, y - 6=0

or, y = 6

We have taken y as the length of the larger side of the right angled triangle.

So, the length of the larger side is 6 cm.

Answer:

6 cm

Hope you could understand.

If you have any query, feel free to ask.

6 0

3 years ago

Please help me with this

pantera1 [17]

Answer:

8 3/4
2, 3
4 1/2, 11 1/4
9 3/4, 16 1/4
Y/B = 2/3

Step-by-step explanation:

The first line is simply the sum of the two given numbers.

3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4

__

To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...

Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3

Then ...

Y : B : total = 2 : 3 : 5

This tells you the numbers on the second line are ...

Y = 2; B = 3

__

The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...

Y = 2(2 1/4) = 4 1/2

total = 5(2 1/4) = 11 1/4

__

The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...

B = 3(3 1/4) = 9 3/4

total = 5(3 1/4) = 16 1/4

_____

The equation is the one we used to find the values on the second line:

Y/B = 2/3

7 0

2 years ago