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4 years ago

12

Which statement is true ?

1 answer:

salantis [7]4 years ago

5 0

That would be DF is congruent to DE ( first choice)

( they are both = sqrt(2^2 + 3^2)

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What is the simplified form of each expression?

White raven [17]

<h2>~<u>Solution</u> :-</h2>

According to the given question, we have to find the simplified form of the given expressions. Here, we have been given;

<h3>★ <u>Equation</u> 1 :-</h3>

$\sf{(6 + 3)2 - 4}$

$\leadsto \sf{(9)2 - 4}$

$\leadsto \sf{18 - 4}$

$\leadsto \bf \red{14}$

Hence, (6 + 3)2 - 4 is equals to 14.

$\\$

<h3>★ <u>Equation</u> 2 :-</h3>

$\sf{23 + (14 - 4) \div 2}$

$\leadsto \sf{23 + (10) \div 2}$

$\leadsto \sf{23 + 5}$

$\leadsto \bf \red{28}$

Hence, 23 + (14 - 4) ÷ 2 is equals to 28.

$\\ \\ \\$

#LemmieFeel

6 0

3 years ago

Read 2 more answers

Learning Task 3:

padilas [110]

Answer:

$Area = x^2- 25$

$Area =9x^2 +24x + 16$

$Length = (3x -2)$

$Speed = \left(y^2-3y+1\right)$

$Product = 3m^3 + 6m^2 - 6m$

Step-by-step explanation:

Solving (1):

$Length = (x + 5)$

$Width = (x - 5)$

Required

Calculate Area

$Area = Length * Width$

$Area = (x + 5) * (x - 5)$

$Area = x^2 + 5x - 5x - 25$

$Area = x^2- 25$

Solving (2):

Given

$Length = (3x + 4)$

Required: Calculate Area

$Area =Length * Length$

$Area =(3x + 4) * (3x + 4)$

$Area =9x^2 + 12x + 12x + 16$

$Area =9x^2 +24x + 16$

Solving (3):

$Area = 3x^2 + 7x - 6$

$Width = x + 3$

Required: Calculate Length

$Area = Length * Width$

$Length = \frac{Area}{Width}$

$Length = \frac{3x^2 + 7x - 6}{x + 3}$

Factorize the numerator

$Length = \frac{3x^2 + 9x -2x - 6}{x + 3}$

$Length = \frac{3x(x + 3) -2(x + 3)}{x + 3}$

$Length = \frac{(3x -2) (x + 3)}{x + 3}$

Divide by x + 3

$Length = (3x -2)$

Solving (4):

$Distance = (2y^3 - 7y^2 + 5y -1)$

$Time = 2y - 1$

Required: Determine the average speed

This is calculated as:

$Speed = \frac{Distance}{Time}$

$Speed = \frac{2y^3 - 7y^2 + 5y -1}{2y - 1}$

Factorize the numerator

$Speed = \frac{\left(2y-1\right)\left(y^2-3y+1\right)}{2y - 1}$

$Speed = \left(y^2-3y+1\right)$

Solving (5):

Multiply $(m^2 + 2m - 2)$ by sum of $(m + 3)$ and $(2m - 3)$

First, calculate the sum:

$Sum = m + 3 + 2m - 3$

$Sum = m + 2m+3 - 3$

$Sum = 3m$

Then, the product

$Product = (m^2 + 2m - 2)(3m)$

$Product = 3m^3 + 6m^2 - 6m$

6 0

3 years ago

Read 2 more answers

HELLLPPP MEEEE HURRRY FIND THE AREA

Lelechka [254]

Answer:

49 millimeters

Step-by-step explanation:

area is length times width

7×7=49

8 0

3 years ago

Read 2 more answers

Murljashka [212]

Answer:

$-\frac{2}{5}$

Step-by-step explanation:

Given expression:

2x + 5y = -10

The equation of a straight line is;

y = mx + c

y and x are the coordinates

m is the slope

c is the intercept

Now;

let us write the given expression in slope intercept format;

2x + 5y = -10

5y = -2x - 10

y = $-\frac{2x}{5}$ - 2

So, the slope of the line is $-\frac{2}{5}$

8 0

3 years ago

One and six tenths as a decimal

Brums [2.3K]

Answer:

1.6

Step-by-step explanation:

1 and 6/10 = 1.6 as a decimal

8 0

3 years ago

Read 2 more answers