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3 years ago

5

How to graph inequalities

1 answer:

SVETLANKA909090 [29]3 years ago

4 0

Pretend that it is just a regular equality. then choose a point on either side of the line and plug the x and y values into the equation. If the equation is still 'true', shade the side of the line that the point was on. If the equation is 'false', shade the other side. If there is a ≥ or ≤ sign in the original inequality, keep the line solid. If there is a > or < sign, make the line dotted/dashed. Hopefully this helped.

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If using the method of completing the square to solve the quadratic equation x^2 + 9 x + 7 = 0 , which number would have to be a

FinnZ [79.3K]

Answer:

(x+9)^2=53/4

Step-by-step explanation:

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3 years ago

The circle passes through the point (-1,8). What is it’s radius? Options: A: 3 B: √8 C: √6 D: 2.75

Jlenok [28]

Answer:

B √8

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

The center of the circle is (1, 6).

(x − 1)² + (y − 6)² = r²

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4 years ago

In quadrilateral QRST, QS = RT.IS QRST a rectangle?<br> a:no<br> b:cannot be determined <br> c:yes

Helen [10]

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Step-by-step explanation:

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3 years ago

Jeni walks 100 meters east and then 50 meters north. How big is Jeni's displacement from the starting point?

never [62]

Answer : Jeni's displacement from the starting point is, 111.8 meter.

Step-by-step explanation :

To calculate the Jeni's displacement from the starting point we are using Pythagoras theorem in ΔABC :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(AC)^2=(AB)^2+(BC)^2$

Given:

Side AB = 100 m

Side BC = 50 m

Now put all the values in the above expression, we get the value of side AC.

$(AC)^2=(AB)^2+(BC)^2$

$(AC)^2=(100)^2+(50)^2$

$AC=\sqrt{(100)^2+(50)^2}$

$AC=111.8m$

Thus, the Jeni's displacement from the starting point is, 111.8 meter.

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3 years ago

The rectangular floor of a classroom is 38 feet in length and 20 feet in width. A scale drawing of the floor has a length of 19

gayaneshka [121]

Answer:

58 in

Step-by-step explanation:

38 divided by 19 = 2

20 divided by 2 = 10

19 x 2 = 38

10 x 2 =20

38 + 20 = 58

4 0

3 years ago