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Mathematics

1 answer:

Maksim231197 [3]3 years ago

4 0

Answers:

Zainab made more money
She made $2.50 more

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Explanation:

To find the hourly rate, we divide the money made over the number of hours.

Zainab's hourly rate = 44/8 = $5.50 per hour
Keziah's hourly rate = 47.25/9 = $5.25 per hour

Then we'll multiply each of these results by 10 to figure out how much they made over the 10 hours

Zainab: 5.50*10 = 55 dollars
Keziah: 5.25*10 = 52.50 dollars

We see that Zainab made more money and she made 55-52.5 = 2.50 dollars more.

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What is the conjugate? √x + 2√b

Llana [10]

The correct answer is: " √x − 2√b " .
_________________________________________________________

The "conjugate" of " √x + 2√b " is: " √x − 2√b " .
_________________________________________________________

Explanation:
_________________________________________________________
In an expression with 2 (TWO) terms; that is, in a "binomial expression",
the "conjugate" of that expression refers to that very expression — with the "sign" in between those two terms—"reverse" (e.g. "minus" becomes "plus" ; or, "plus" becomes "minus" .) .
_________________________________________________________

→ So: We are given: " √x + 2√b " .

 → Note that this is a "binomial expression" ;

→ that is, there are 2 (TWO) terms: " √x " ; and: " 2√b " .
_________________________________________________________

To find the "conjugate" of the given binomial expression:

→ " √x + 2√b " ;

→ We simply change the "+" {plus sign} to a "−" {minus sign} ; and rewrite:
___________________________________________________________

→ " √x − 2√b " ;

→ which is the "conjugate" ; and is the correct answer:
___________________________________________________________
→ " √x − 2√b " ; is the "conjugate" of the expression: " √x + 2√b " .
___________________________________________________________
→ {that is: " √x − 2√b " ; is the conjugate.}.
___________________________________________________________

7 0

4 years ago

Use the given endpoint R and the midpoint M of segment RS to find the coordinates of the other endpoint S. (Hint: Use the midpoi

zimovet [89]

Using the given endpoint R (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)

Explanation :

Use the given endpoint R and the midpoint M of segment RS

R (8, 0 ) and M (4, -5 )

Let 'S' be (x2,y2)

Apply the midpoint formula

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\$

Endpoint R is (x1,y1) that is (8,0)

Substitute the values and make it equal to M(4,-5)

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\\(\frac{8+x_2}{2},\frac{0+y_2}{2} )=(4,-5)\\\\\frac{8+x_2}{2}=4\\8+x_2=8\\x_2=8-8=0\\x_2=0\\\\\\\frac{0+y_2}{2} =-5\\y_2=-10$