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3 years ago

Fill in the blank with the correct inequality symbol

Mathematics

1 answer:

12345 [234]3 years ago

6 0

Answer:

Step-by-step explanation:

4 is greater than 3

sqrt15 is greater than sqrt6

So 4+sqrt15 must be greater than 3+sqrt6

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Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

5 0

4 years ago

In a four digit number, the digit in thousand’s place in 4 and the digit in the one’s place is twice that in the thousand’s plac

ale4655 [162]

Answer:

Step-by-step explanation:

As 4 is accumulated by thousands place

And ones place is 4 into 2/twice

And hundreds place accumulates zero

And tens place is 4 - 0=4

The no is

4048

5 0

3 years ago

how much will you save if you buy an item listed at 17.50 at a 35 percent discount? savings = price x discount percentage

kenny6666 [7]

Answer:

17.50 × 0.35 = 6.13

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Will give brainliest What goes on the blank? A ? B? C? D? E? F?

Gre4nikov [31]

A will be 360/4
B will be pentagon
C will be 72
D will be hexagon
E will be 360/60
F will be 51.428571

3 0

3 years ago

True or False To find the circumference of a circle you multiply the diameter by pi

zavuch27 [327]

Answer:

false

Step-by-step explanation:

Formula: c=2 $\pi$ r

Circumference= two times pi times radius

4 0

3 years ago

Fill in the blank with the correct inequality symbol​

Fill in the blank with the correct inequality symbol