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Zolol [24]
2 years ago
10

Please I will rate you with 5 stars just please help me with this problem

Mathematics
1 answer:
olchik [2.2K]2 years ago
8 0

Answer:

D

Step-by-step explanation:

If we isolate the variable in each given compound inequality, we can quickly realize that D is correct.

16\geq 3x+4>1\\12\geq 3x>-3\\4\geq x>-1

x is less than or equal to four (solid point on 4 with line going left), but greater than -1 (open point going right).

Signs with 'or equal to' have solid points, and signs without are not solid.

I hope this helps!

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3 years ago
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Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle A
Ket [755]

the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

<h3>How to determine the equation</h3>

From the figure given, we can deduce the coordinates of the sides

For A

A ( 4,2)

For B

B ( 4, 5)

C ( 1, 2)

D ( 2, -4 )

E  ( 5, -4)

F ( 2, -1)

The slope for BC

Slope = \frac{y2 - y1}{x2 - x1}

Substitute the values for both B and C coordinates, we have

Slope = \frac{2- 5}{1 - 4}

Find the difference for both the numerator and denominator

Slope = \frac{-3}{-3}

Slope = 1

We have the rotation for both point ( 0, 1)

y - y1 = m ( x - x1)

The values for y1 and x1 are 1 and 0 respectively and the slope m is 1

Substitute the values

y - 1 = 1 ( x - 0)

y - 1 = x

Make 'y' the subject of formula

y = x + 1

Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

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4 0
1 year ago
(x+ delta x)^4 please help me
alexandr402 [8]
The awnser would be , 4x+4adetx
8 0
2 years ago
Henry is saving money to buy a game. so far he has saved $12 , which is three-fourths of the total cost of the game. how much do
vazorg [7]
Henry has 3 / 4 0f total cost so,
Let ( a ) is total cost of game

So,
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12 x 4 = 3 a

48 = 3a

48 / 3= a

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5 0
3 years ago
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Help!!! Find the center and radius of the circle with the equation (x-4)²+(y+6)²=16
WITCHER [35]

Answer:

Center:  (4,-6)

Radius: 4

Step-by-step explanation:

It is necessary to remember that the Equation of the circle in Center-radius form, is:

(x -h)^2 + (y-k)^2 = r^2

Where the center of the circle is at the point (h, k) and the radius is "r".

Then, given the following equation of the circle:

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(4,-6)

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2 years ago
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