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Debora [2.8K]
3 years ago
8

The sum of two consecutive integers is at most 45. What is the larger integer?

Mathematics
1 answer:
alina1380 [7]3 years ago
4 0
22 + 23 = 45
Largest would be 23
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The amount of weight gained
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ed fills his sports bottle with 1.2 liters of water after his bike ride he drinks 200 millimeters of water how much water is lef
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6 0
3 years ago
What is the equation of the circle with center (−3, 1) that passes through the point (−5, 3)?
Mariulka [41]

Answer:

( x + 3)^2 + ( y - 1)^2 = 8

Step-by-step explanation:

The equation of a circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( x , y) - any point on the circle

( a, b) - center of the circle

r^2 - radius of the circle

( -3 , 1) - center - ( a, b)

a = -3

b = 1

( -5 , 3) - point - ( x, y)

x = -5

y = 3

Step 1: substitute the center into the equation

( x -(-3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + ( y - 1)^2 = r^2

Step 2 : sub the point into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( -5 + 3)^2 + ( 3 - 1)^2 = r^2

(-2)^2 + 2^2 = r^2

4 + 4 = r^2

8 = r^2

Step 3 : sub the radius into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + (y - 1)^2 = 8

Therefore, the equation of the circle is

( x + 3)^2 + (y - 1)^2 = 8

6 0
3 years ago
Please help me, ill give brainliest
Rzqust [24]

Answer:

m∠RST = 20

Step-by-step explanation:

Sine the line SP bisects ∠RST, we know that the two angles that were formed are equal.  Set ∠RSP equal to ∠PST.

∠RSP = ∠PST

3x - 2 = 9x - 26

(3x - 2) + 2 = (9x - 26) + 2

3x = 9x - 24

3x - 9x = (9x - 24) - 9x

-6x = -24

(-6x)/-6 = -24/-6

x = 4

Now that you know the value of x, add ∠RSP and ∠PST.  This will give you m∠RST.

m∠RST = (3x - 2) + (9x - 26)

m∠RST = 3x - 2 + 9x - 26

m∠RST = 12x - 2 - 26

m∠RST = 12x - 28

m∠RST = 12(4) - 28

m∠RST = 48 - 28

m∠RST = 20

5 0
3 years ago
Is a line having no slope the same as it having a slope of 0?
Zanzabum
Yes it is the same as having no slope.
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