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3 years ago

|-4w+2|=14 the bars mean absolute value

Mathematics

2 answers:

Pie3 years ago

5 0

Answer:

If you are looking for what w equals, the w would equal 3

Step-by-step explanation:

You would take the absolute value which is how far away a value is from zero.

So you would get 4w+2=14

Then you would bring the positive 2 to the other side making it negative

now we have 4w=14-2 which is the same as 4w=12

and then, you would divide 12 by 4 and then you would get 3

w=3

Ostrovityanka [42]3 years ago

4 0

Answer:

w = 3

Step-by-step explanation:

If we simplify the equation, it will result in 4w + 2 = 14. If we subtract both sides of the equation by 2 to isolate the variable, we will get 4w = 12. To get the value of w, we then have to divide both sides by 4, which gives us our answer that w = 3.

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Please answer for 20 points

Tresset [83]

It’s definitely not B so don’t chose that one because it’s not right

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3 years ago

Given: JP = KP; PX = PY Prove: ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K

FrozenT [24]

Answer:

Prove: ΔPYJ ≅ ΔPXK

Step-by-step explanation:

Overlapping triangles are said to be triangles that share at least part of a side or an angle.

To prove ΔPYJ is congruent to ΔPXK

First we would draw the diagram obtained from the given information.

Find attached the diagram.

Given:

JP = KP

PX = PY

From the diagram, ΔPYJ and ΔPXK share the line KJ (part of the side of each of the triangle)

KJ ≅ KJ (A reflexive property - the segment is congruent to itself)

In ∆PYJ

JP = KP + KJ

In ∆PXK

KP = JP + KJ

Since JP = KP

KP + KJ = JP + KJ

PJ ≅ PK

The overlapping section makes a smaller triangle KXJ

∠K = ∠J (opposite angles of congruent sides are equal)

In ∆PYJ: PY + YJ + PJ (sum of angles in a triangle)

In ∆PXK: PX + XK + PK (sum of angles in a triangle)

If ΔPYJ ≅ ΔPXK

PY + YJ + PJ = PX + XK + PK

XK ≅ YJ

Therefore, ΔPYJ ≅ ΔPXK

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3 years ago

Read 2 more answers

Which of the following angle relationships are correct?

g100num [7]

Answer:

B but am not sure tho it's probably A

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3 years ago

Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a red mar

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Assuming that each marble can be picked with equal probability, we notice that there is a total of

$4+2+5+1+7 = 19$

marbles, of which 2 are red.

So, the probability of picking a red marble is

$\dfrac{2}{19}$

In fact, as in any other case of (finite) equidistribution, we used the formula

$P(\text{event}) = \dfrac{\text{number of favourable cases}}{\text{number of all possible cases}}$

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3 years ago

The equation of a circle is given below.

Nataliya [291]

Answer:

(h,k) = (32,-4)

r = 32

Step-by-step explanation:

The general equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$ (1)

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

You have the following equation:

$x^2+(y+4)^2=64x$ (2)

You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:

2b = 64

b = 32

Then, you have to sum 32^2 and also subtract the same number in the expression (2):

$x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2$

you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32

Furthermore, the center of the circle is (h,k) = (32,-4)

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4 years ago