3 years ago

What is the value of n in the equation (n – 4) – 3 = 3 – (2n + 3)?

1 answer:

4 0

N= -7; open the first bracket, then add the two negatives.Then open the second bracket, and cancel opposite sign 3's and then solve.

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Addison and Kelsey are running on a path modeled by x2 + y2 – 14x – 16y – 287 = 0, where the distance is in meters. What is the

Simora [160]

Answer:

40 meters

Step-by-step explanation:

6 0

2 years ago

A triangle has a height that is 2 inches more than three times the base and an area of 60 in. Find the base and the height of th

const2013 [10]

Answer:

Height = 20, Base = 6

Step-by-step explanation:

The area of a triangle is $\frac{bh}{2}$

where b is the base and h is the height

$H = 3B + 2\\\frac{B(3B + 2)}{2}=60\\\\3B^2 + 2B = 120\\3B^2+2B - 120=0\\$

We can factor by grouping

$3B^2 - 18B + 20B - 120 = 0\\3B(B - 6) + 20(B-6) = 0\\GCF the (B-6)\\(B-6)(3B+20)=0\\B = 6, B = \frac{-20}{3}$

Length can only be positive, so we know that the base is 6 in

The height must be 2 + 3(6) = 20

Height = 20, Base = 6

8 0

3 years ago

12 more than janelle's score is 74

ankoles [38]

Answer:

janelles score is 62

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Maggie has $14,100 to invest, and wishes to gain $4,000 in interest over the next eight years. Approximately what is the minimum

julsineya [31]

Simple interest doesn't compound, so we just find the interest she needs by dividing 4,000 by 8, and then divide that number by her principal to find the rate of interest.

4,000 ÷ 8 = 500
She needs 500 dollars per year in interest.

800 ÷ 14,100 = .0355 = 3.55%

Answer is B

3 0

3 years ago

Given: PSTK - trapezoid m∠P = 90°, SK=13 PK = 12, ST = 8 Find: Area of PSTK

bazaltina [42]

Answer:

Area of PSTK = 50

Step-by-step explanation:

△SPK:

SK = 13, PK = 12

13^2 - 12^2 = SP^2

SP = 5

(8 + 12) /2 x 5 = 50

5 0

3 years ago