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2 years ago

Graph the inequality in the coordinate plane: x<-3

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

8 0

Answer:

Graph of the inequality x< -3 as shown below in the figure.

Step-by-step explanation:

Given the inequality: x < -3

Graph of this inequality as shown below in the figure.

All the points that are lie in the shaded area satisfy the equation x < -3 or

In other words, we can say that x can take any value less than -3 .

x ≠ -3 or any number that is greater than -3.

Since there is a strict inequality i.e x < -3 , the points that lie on the line x = -3 does not satisfy the equation.

Therefore, the dotted line is marked at x = -3

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When will a quadratic equation have two different real roots?

neonofarm [45]

Answer:

Step-by-step explanation:

When a discriminant is positive it has two distinct roots. When a discriminant is negative it has no real roots. When a discriminant is zero it has two roots that are the same so that counts as one root.

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2 years ago

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3 years ago

50= -2.5x can someone help me solve this? thank you!

Katarina [22]

Answer: x=-20

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3 years ago

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Factor the expression completely. 625x4 - 256y4

scoundrel [369]

Answer:

(625 • (x4)) - 28y4

54x4 - 28y4 3.1 Factoring: 625x4-256y4

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 625 is the square of 25

Check : 256 is the square of 16

Check : x4 is the square of x2

Check : y4 is the square of y2

Factorization is : (25x2 + 16y2) • (25x2 - 16y2) 3.2 Factoring: 25x2 - 16y2

Check : 25 is the square of 5

Check : 16 is the square of 4

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (5x + 4y) • (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)

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3 years ago

6. The diagram on the right shows the cross-section of a cylindrical pipe with water lying in the bottom. a) If the maximum dept

riadik2000 [5.3K]

Answer:

404 cm³ Anyway... Look down here for my explanation.

Step-by-step explanation:

Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.

We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)

44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.

Shaded area 88.8/360*area of circle - ½*7*788.8°

= 88.8/360*π*7² - 24.5*sin 88.8°

13.5 cm²

(using area of ∆ = ½.a.b.sin C for the triangle)

Volume of water = cross-sectional area * length

13.5 * 30 cm³

404 cm³

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1 year ago