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3 years ago

(Solve the inequality) r + 0.2 < -0.7

Mathematics

1 answer:

Feliz [49]3 years ago

4 0

Answer:

i beleive its 0.5

Step-by-step explanation:

sorry if its wrong

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3. Assume all angles are right angles. What is the area of the figure? 12 m 8 m 10 m 16 m 12 m 12 m 1536 square meters b. 408 sq

Svetach [21]

C. 360 Square meters

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3 years ago

Im giving brainliest<br> FREE

Zinaida [17]

Answer:

HAVE A NICE DAY :)))

Step-by-step explanation:

thank

7 0

3 years ago

What is this question in simplified form

EastWind [94]

Answer: -77 $\sqrt{30}$

Step-by-step explanation:

(-7(3)^1/2)(11(10)^1/2)=

-7*11*(3)^1/2 * (10)^1/2=

-77*(3*10)^1/2=

-77(30)^1/2=-77 $\sqrt{30}$

6 0

2 years ago

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c

natali 33 [55]

Answer: By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are $(\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)$

Coordinate of E are $(\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)$

By the distance formula,

$DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}$

$AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}$

By the slope formula,

Slope of AC = $\frac{4-8}{8-6} = \frac{-4}{2} = -2$

Slope of DE = $\frac{3-5}{5-4} = \frac{-2}{1} = -2$

Statement Reason

1. The coordinate of D are (4,5) and 1. By the midpoint formula

the coordinate of E are (5,3)

2. The length of DE = √5 2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the 3. By the slope formula

slope of AC = -2

4. DE║AC 4. Slopes of parallel lines are equal

7 0

3 years ago

Read 2 more answers

Select True or False for each statement.

mote1985 [20]

<h2>Answer:</h2>

For a real number a, a + 0 = a. TRUE

For a real number a, a + (-a) = 1. FALSE

For a real numbers a and b, | a - b | = | b - a |. TRUE

For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE

For rational numbers a and b when b ≠ 0, is always a rational number. TRUE

<h2>Explanation:</h2>

<u>For a real number a, a + 0 = a. </u><u>TRUE</u>

This comes from the identity property for addition that tells us that<em> zero added to any number is the number itself. </em>So the number in this case is $a$ , so it is true that:

$a+0=a$

For a real number a, a + (-a) = 1. FALSE

This is false, because:

$a+(-a)=a-a=0$

For any number $a$ there exists a number $-a$ such that $a+(-a)=0$

For a real numbers a and b, | a - b | = | b - a |. TRUE

This is a property of absolute value. The absolute value means remove the negative for the number, so it is true that:

$\mid a-b \mid= \mid b-a \mid$

For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE

This is false. By using distributive property we get that:

$(a + b)(a + c)=a^2+ac+ab+bc \\ \\ a^2+ab+ac+bc \neq a+(b.c)$

For rational numbers a and b when b ≠ 0, is always a rational number. TRUE

A rational number is a number made by two integers and written in the form:

$\frac{u}{v} \\ \\ v \neq 0$

Given that $a \ and \ b$ are rational, then the result of dividing them is also a rational number.

7 0

3 years ago

Read 2 more answers