use the given endpoint r and midpoint m to line rs to find the coordinates of the other endpoint s. r(6,0) m(0,2)

Two numbers are of the ratio 3:5. If their difference is 18, find the numbers.

lozanna [386]

Est Answer: say the numbers are x and y......and y being the bigger number ... If the ratio is 5:3, then difference between ratio = 5-3 = 2 ... Substituting this x = 5y/3 in equation x-y=18 we get ... therefore x = 5 * 27/3 = 5*9 = 45 .... One number is 5 more than another. their sum is 53 what are the two numbers?

5 0

3 years ago

Calculus The following curve passes through (3,1) Using linear lineralization

Novay_Z [31]

Answer:

Option 1.1

Step-by-step explanation:

The linearization of a curve implies the use of calculus to find the local value for the derivative and approximating the function by the use of the formula

$F(x) \approx F(x_0) + F'(x_0)(x-x_0)$

The function is given in such way that it's much easier to find the derivative by implicit differentiation than isolating any of the variables

$2x^2y+y=2x+13$

Differentiating with respect to x, we have

$4xy+2x^2y'+y'=2$

Computing y' in the given point (3,1) we have

4(3)(1)+2(9)y'+y'=2

$y'=\frac{2-12}{19}$

$y'=-\frac{10}{19}$

The function will be approximated with the expression

$F(x) = 1 -\frac{10}{19}(x-3)$

To find the approximate value for x=2.8

$F(2.8) = 1-\frac{10}{19}(-0.2)=1.1$

The correct value is the option 1.1

6 0

3 years ago

Evangeline is making snack bags for her class. If she can fill 5/8 of her snack bags with 1 2/3 cups of pretzels, how many cups

brilliants [131]

Answer:

2 2/3

Step-by-step explanation:

For each of her snack bag, she can fill it with a 1/3 cup of pretzels

1/3 x 8 = 2 2/3 cups

4 0

2 years ago

Find two consecutive numbers whose product is 210.

Rus_ich [418]

The two numbers are 14 and 15.

4 0

3 years ago

Read 2 more answers

Tickets for a certain show cost $17, $21, or, for VIP seats, $40. If ten times as many $17 tickets were sold as VIP tic

lawyer [7]

Answer:

Tickets sold:

VIP $=126$

$17 tickets $=1,260$

$21 tickets $=9\cdot 126+57=1,191$

Step-by-step explanation:

Let x be the number of VIP tickets.

If ten times as many $17 tickets were sold as VIP tickets, then the number of $17 tickets is $10x.$

If the number of $17 tickets sold was 57 more than the sum of the number of $21 tickets and VIP tickets, then $10x+57=x+y$ and the number y of $21 tickets is $9x+57.$