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meriva
3 years ago
11

Write an equation parallel to the line y=3/2x-2 that goes through (5,1) in point slope form.

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
4 0

Answer: y=3/2x-13/2

Step-by-step explanation:

concept to know: two parallel lines have the same slope

y=3/2x+b

in order to find b or the y-intercept, we plug the point in

y=3/2x+b

1=3/2(5)+b

1=15/2+b

b=-13/2

----------------------------

y=3/2x-13/2

Hope this helps!! :)

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What’s the answer for -3(r-4)_>0
Zigmanuir [339]

Answer:

r<4

Step-by-step explanation:

-3(r-4)>0 step 1: distribute the -3

-3r+12>0  explain: -3 times r =-3r, -3 times -4 = 12

next, isolate the -3r by putting 12 on the other side

-3r+12>0    subtract 12 from both sides

-3r>-12    now, divide both sides by -3    (you have to flip the > because you are dividing by a negative) -12 divided by -3 is 4

so you should end up with r<4

8 0
3 years ago
Select the correct answer. What is the area of the cross section that is parallel to side PQRS in this rectangular box? A. 12 sq
qaws [65]

Answer:

12 square units.

Step-by-step explanation:

5 0
3 years ago
Determine all values of k that make each of the following a perfect square trinomial. X^2+8x+k
-Dominant- [34]

Answer:

k can either be

12

or

−

12

.

Step-by-step explanation:

Consider the equation

0=x2+4x+4

. We can solve this by factoring as a perfect square trinomial, so

0=(x+2)2→x=−2 and−2

. Hence, there will be two identical solutions.

The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have

2 equal, or 1

distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:

k2−(4×1×36)=0

k2−144=0

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k=±12

6 0
3 years ago
What is the simplified form of 2(3x+5)-30+7x_4
Kipish [7]

Answer:

The answer is 6x+7x_4-20

Step-by-step explanation:

6 0
3 years ago
According to data from the state blood program, 40 percent of all individuals have group A blood. If six individuals give blood,
Serjik [45]

Answer: 0.27648

Step-by-step explanation:

Given : The proportion of all  individuals have group A blood : p=0.040

Total individuals give blood : n= 6

Let X be the number of individuals have group A blood.

Since all individual are independent of each other.

X\sim Bin(n=6, p=0.40)

Formula : P(X=x)=^nC_xp^x(1-p)^{n-x} , where n= sample size , p = probability of getting success in each trial.

The probability that exactly three of the individuals have group A blood. :

P(x=3)= ^6C_3(0.40)^3(1-0.4)^3\\\\= \dfrac{6!}{3!3!}\times(0.40)^3(0.60)^3\\\\=0.27648

The probability that exactly three of the individuals have group A blood. is 0.27648

8 0
3 years ago
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