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4 years ago

Which step would help solve the equation? 2(z - 12) - 1 = z - 25 + z

Mathematics

2 answers:

eimsori [14]4 years ago

6 0

2z-24-1=z-24-z
2z-25=24
2z=49
z=49/2

andreev551 [17]4 years ago

3 0

To distribute the 2.

2(z-12)-1=z-25+z

First distribute the 2.
2z-24-1=z-25+z

Combine like terms on both sides.
2z-25=2z-25

The two equations have ended up the same. They have an infinite number of solutions.

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A construction firm bids on two different contracts. Let E1 be the event that the bid on the first contract is successful, and d

marissa [1.9K]

Calculate the probability that both bids are successful

Answer:

The probability that both contracs are successful is 0.21

Step-by-step explanation:

Given

E1 = the event that the bid on the first contract is successful

E2 = the event that the bid on the second contract is successful

P(E1) = 0.3

P(E2) = 0.7

Let P(A) represent the event that both contracts are successful

P(A) = P(E1 and E2)

Since both events are independent. P(A) becomes

P(A) = = P(E1 * P(E2)

By substituton

P(A) = 0.3 * 0.7

P(A) = 0.21

Hence the probability that both contracs are successful is 0.21

7 0

4 years ago

What equation has a line through the point (4, -1) with a slope of -3.

vitfil [10]

Answer:

y = -3x + 11

Step-by-step explanation:

y = mx + b

y = -3x + b

y-int (b) = y-(-1) = -3(x-4)

=> y+1 = -3x + 12

=> y = -3x + 11

=> y = 11

y = -3x + 11

Hope this helps! :3

plz mark as brainilest!

8 0

3 years ago

Is -4^2<(-4)^2 a false statement

denis-greek [22]

Yes, they are equal

3 0

3 years ago

Read 2 more answers

Draw a line representing the "run" and a line representing the "rise" of the line. State the slope of the line in simplest form.

Igoryamba

Answer:

The answer is " $\bold{\frac{9}{13}}$ "

Step-by-step explanation:

In this question, the image file is missing, which is defined in the attached file. please find it.

$\to raise= y_2-y_1$

$=-1-(-10)\\\\=-1+10\\\\=9$

$\to run= x_2-x_1$

$=9-(-4)\\\\=9+4\\\\=13$

$\to \text{formula for slope} =\frac{rise}{run} =\frac{9}{13}$

7 0

3 years ago

determine an equation and the radius for the circle that has its centre at the origin (0,0) passes through the point A 4-3

g100num [7]

Given:

The center of the circle is at (0,0).

The circle passes through the point A(4,-3).

To find:

The radius and the equation of the circle.

Solution:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The radius of the circle is the distance between the points (0,0) and (4,-3).

$r=\sqrt{(4-0)^2+(-3-0)^2}$

$r=\sqrt{(4)^2+(-3)^2}$

$r=\sqrt{16+9}$

$r=\sqrt{25}$

$r=5$

So, the radius of the circle is 5 units.

The standard form of a circle is

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

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

Putting h=0, k=0, r=5, we get

$(x-0)^2+(y-0)^2=5^2$

$x^2+y^2=25$

Therefore, the radius of the circle is 5 units and the equation of the circle is $x^2+y^2=25$ .

6 0

3 years ago