Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2 1/4 , k). What value of k makes these segments perpendicular?

Answer:

Alvin: 49

Elga: 40

Step-by-step explanation:

Hey there!☺

[tex]Answer:\boxed{40}[/tex]

[tex]Explanation:[/tex]

Elga's age can be represented as "x". If Elga is x years old, then Alvin's age would be represented as "x+9", since Alvin is 9 years older than Elga.

Their combined age is 89. If you were to write that as an equation in terms of "x", you would have the following equation.

[tex]x+x+9=89[/tex]

Since the question is asking for Elga's age, which is x, you're going to be solving the equation for the value of x.

First add like terms: [tex]x+x+9=89 \rightarrow 2x+9=89[/tex]

Subtract both sides by 9 to leave x alone: [tex]2x+9-9=89-9 \rightarrow 2x=80[/tex]

Divide both sides by 2 to find x: [tex]\frac{2x}{2} = \frac{80}{2} \rightarrow x=40[/tex]

Since x is equal to 40, Elga is 40 years old, and Alvin would be 49 years old.

You can also check if the answer is correct by adding their ages.

[tex]40+49=89\ \br \checkmark[/tex]

Elga is 40 years old.

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

Answer: N = 11

Step-by-step explanation:

Add 8 on both sides

-10n = -110

divide -110 by -10

Answer:

n = 11

Step-by-step explanation:

-10n - 8 = -118

Add 8 to each side

-10n - 8+8 = -118+8

-10n = -110

Divide by -10

-10n/-10 = -110/-10

n = 11

Answer:

25.2X + 3.4 centimeters.

Step-by-step explanation:

The formula for the perimeter of a rectangle

= 2L + 2W

= 2(L + W)

From the question:

Width of a rectangle (W) = 9.7 X - 4.7 centimeters

Length of a rectangle (L) = 2.9 X + 6.4 centimeters

Imputing it into the formula

2(L + W)

2( 9.7X - 4.7 + 2.9X + 6.4)

2 (9.7X + 2.9X - 4.7 + 6.4)

2( 12.6X + 1.7)

= 25.2X + 3.4 centimeters.

Therefore, the perimeter of the rectangle = 25.2X + 3.4 centimeters.

4

Step-by-step explanation:

Answer:

Billy has $27.51

Step-by-step explanation:

First let's set up an equation to solve this problem.

Assign a variable to Billy's amount. Let's make it x.

Then we just interpret the problem and solve:

2x - 1.30 = 53.72

     +1.30    +1.30

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

2x = 55.02

(Divide by 2 on both sides)

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

x = $27.51

2x = Billy's amount doubled

2x - 1.30 = Taking away 1.30 from double Billy's amount

53.72 = Sara's amount

Answer:

- 5

Step-by-step explanation:

Step 1:

60 = - 12r

Step 2:

12r = -60

Step 3:

r = - 60 ÷ 12

Answer:

r = - 5

Hope This Helps :)

Answer:

The answer is D). x=2

Step-by-step explanation:

Domain:  

( − ∞ , ∞ ) , { x | x ∈ R }

Range:  

[ 0 , ∞ ) , { y |y ≥ 0 }

Answer:

2/10 or 0.2

i dont know which tenths you wanted so i did both

Answer:

2 2/9

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

4/3÷3/5

Applying the fractions formula for division,

=4×5

3×3

=20/9

Simplifying 20/9, the answer is

=2 2/9

Answer:

[tex]\frac{20}{9}[/tex] or [tex]2\frac{2}{9}[/tex]  or [tex]2\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{3} = \frac{4}{3}[/tex] and [tex]\frac{3}{5}[/tex]

to

[tex]\frac{4}{3}[/tex] divided by [tex]\frac{3}{5}[/tex]

                    ↑

flip the second number

[tex]\frac{4}{3}[/tex] divided by [tex]\frac{5}{3}[/tex]

but instead of divison it becomes multiplication,

[tex]\frac{4}{3}[/tex] × [tex]\frac{5}{3}[/tex]

=

[tex]\frac{20}{9}[/tex]

Mixed number form is:

[tex]2\frac{2}{9}[/tex]

or

Simplify:

[tex]2\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

490 = 70 * 7

560 = 70 * 8

630 = 70  *9

700 = 70 * 10

770

840

910

You can fill in the other 3

So the number can be 630 770 or 910

Answer:

630, 770, 910

Step-by-step explanation:

They are multiples of 70 and the tens place number is odd 630, 770, 910

Answer:60x+28

Step-by-step explanation:

Answer: x=-7

Step-by-step explanation:

1) The angles of a triangle are equal to 180

2) Add your angles together and set them equal to 180 like this:

x+59+x+51+84=180

3) Combine like terms:

2x+ 194 =180

4) Subtract 195 from both sides:

2x+ 194 =180

    - 194   -194

2x = -14

5) Divide by 2 on both sides

2x= -14

/2     /2

x= -7

Step-by-step explanation:

2x+4 +3x = 2x +2 +1

4+x= 2x+3

4-3=2x-x

1=x

x=1

Answer:

17. -1 (y2-y1/x2-x1)

18. x/8= -6-4, x= -10*8 = -80

Step-by-step explanation:

this is your answer..........

Answer:

See SBS Explanation

Step-by-step explanation:

1. Produces a number that can be classified as an Irrational number.

A:  Square root of 2.

2. Produces a number that an be classified as a Rational number.

A: Square root of 4.

3. Rational number that can be classified as an integer.

A: Negative 2/1 (-2/1)

4. Rational number that produces a repeating decimal.

A: 5/9 (Decimal is 0.5 repeating or 0.555....)

5. Rational number that produces a terminating decimal.

A: 1/4 (Decimal is 0.25)

Answer:

(a) [tex]x \leq 2.5[/tex]

(b) [tex]x \geq 2[/tex]

Step-by-step explanation:

Solving (a):

[tex]0.4x - 1 \leq 0[/tex]

Add 1 to both sides

[tex]0.4x - 1 + 1\leq 0 + 1[/tex]

[tex]0.4x \leq 1[/tex]

Solve for x

[tex]x \leq 1/0.4[/tex]

[tex]x \leq 2.5[/tex]

Solving (b):

[tex]2.3x \geq 4.6[/tex]

Solve for x

[tex]x \geq 4.6/2.3[/tex]

[tex]x \geq 2[/tex]

Answer: The distance between them would be 4 and 5 because if you look at it the one is at -1 and the 5 is at the top you have to count how many spaces their are between them to see what your answer would be and so in this equation it would be 4 and

Step-by-step explanation:The distance between them would be 4 and 5 because if you look at it the one is at -1 and the 5 is at the top you have to count how many spaces their are between them to see what your answer would be and so in this equation it would be 4 and

Answer: (2.5,2)

Step-by-step explanation:

Answer:

55.87

Step-by-step explanation:

Answer:

46 messages.

Step-by-step explanation:

The top got cut off a bit, it says "Make the same/similar inequality as the other problem:"

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Give the expression 3.7 x + (0.5-6y)+0.8-(1.7x+1-2.3y), to get the equivalent expression we will follow thw steps;

open the parenthesis

3.7 x + 0.5-6y+0.8-1.7x+1-2.3y

collect like terms

= 3.7 x -1.7x -6y-2.3y+0.5+0.8+1

= 2.0x-8.3y+1.3+1

= 2.0x-8.3y+2.3

Hence the equivalent expression is 2.0x-8.3y+2.3

Answer:

3z+9

Step-by-step explanation:

=4z+4-z+5

=4z-z+4+5

=3z+9

The fraction [tex]\dfrac{10}{2}[/tex] is equal to 5.

Important information:

The given number can be written as:

[tex]5=\dfrac{5}{1}[/tex]

Now, multiply the numerator and denominator by the same natural number which is greater than 1, to get a fraction.

Multiply the numerator and denominator by 2.

[tex]\dfrac{5\times 2}{1\times 2}=\dfrac{10}{2}[/tex]

Therefore, the fraction [tex]\dfrac{10}{2}[/tex] is equal to 5.

Find out more about 'Fraction' here:

https://brainly.com/question/363606

The fraction 5/1 is equal to 5, 25/5, and 30/6.

We have,

When we write a whole number as a fraction, we can express it by placing the number over the denominator of 1.

This is because any number divided by 1 is equal to itself.

In the case of the number 5,

We can write it as a fraction by placing it over 1:

5/1

This fraction represents the whole number 5, where the numerator (5) indicates the quantity or value, and the denominator (1) represents a single unit.

Or,

25/5 can also be written as 5// = 5

30/6 can also be written as 5/1 = 5

Thus,

The fraction 5/1 is equal to 5, 25/5, and 30/6.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ6

Answer:

ofc I can.

Step-by-step explanation:

Solve for b.

By simplifying both sides of the equation, then isolating the variable.

Exact Form:

b= 27/2

Decimal Form:

b= 13.5

Mixed Number Form:

b= 13 1/2