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Sergio039 [100]
3 years ago
9

the inequality simplifies to 3/x+2+1>0. which inequality is equivalent? a. 4/x+2>0 b. 4/x+2<0 c. x+5/x+2>0 d. x+5/x+

2<0

Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0

Answer:

C.

Step-by-step explanation:

arsen [322]3 years ago
3 0

Answer:

x \geqslant  - 5

Step-by-step explanation:

first subtract 1 from both sides of inequality then multiply both sides with x+2 and lastly leave x alone by subtracting 3 from boths sides and add x to both sides\frac{3}{x + 2}  + 1 \geqslant 0 \\  \frac{3}{x + 2}  \geqslant  - 1 \\ 3 \geqslant  ( - 1) \times (x + 2) \\ 3 \geqslant  - x - 2 \\ x \geqslant  - 5

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Use the diagram to find lengths. BP is the perpendicular bisector of AC. QC is the
faust18 [17]

Answer:

The length of the side PC is 34 cm.

Step-by-step explanation:

We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.

Suppose BP = 16 cm and AD = 90 cm.

As, it is given that AD = 90 cm and the three sides AB = BC = CD.

From the figure it is clear that AD = AB + BC + CD

So, AB = \frac{90}{3} = 30 cm

BC = \frac{90}{3} = 30 cm

CD = \frac{90}{3} = 30 cm

Since the triangle, BPC is a right-angled triangle as \anglePBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.

Now, the Pythagoras theorem states that;

\text{Hypotenuse}^{2} = \text{Perpendicular}^{2} +\text{Base}^{2}

\text{PC}^{2} = \text{BP}^{2} +\text{BC}^{2}

\text{PC}^{2} = \text{16}^{2} +\text{30}^{2}

\text{PC}^{2} = 256+900 = 1156

\text{PC}=\sqrt{1156}

PC = 34 cm

Hence, the length of the side PC is 34 cm.

4 0
2 years ago
What is the slope and y intercept of y = 10 - 4x
balandron [24]

Answer:

The slope is -4 and the y-intercept is (0,10)

Step-by-step explanation:

3 0
3 years ago
What is the value of X ?
myrzilka [38]

Answer:

=14

Step-by-step explanation:

In a rhombus, opposite angles are equal.

In the one provided in the question, 5x° is opposite the angle 70°

Let us equate the two.

5x=70

x=70/5

=14°

The value of x in the figure is 14°

4 0
3 years ago
A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (If an answer does
NNADVOKAT [17]

The question is not clear, but it is possible to obtain distance, s, from the given function. This, I would show.

Answer:

s = 17 units

Step-by-step explanation:

Given f(t) = t³ - 8t² + 27t

Differentiating f(t), we have

f'(t) = 3t² - 16 t + 27

At t = 0

f'(t) = 27

This is the required obtainaible distance, s.

6 0
3 years ago
Which is the definition of a perpendicular bisector?
Vesna [10]

Answer:

C

Step-by-step explanation:

Perpendicular lines intersect to form 90 degree angles and a bisector is a line, ray, or line segment that splits an angle, or line segment into 2 equal parts.

7 0
3 years ago
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