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geniusboy [140]
3 years ago
12

Solve the system y = -x + 7 and y = -0.5(x - 3)2 + 8

Mathematics
2 answers:
guajiro [1.7K]3 years ago
6 0
I believe the answer is (7,0) and (1,6). I hope it's correct :)
ch4aika [34]3 years ago
3 0

y=-x+7

y= -0.5(x-3)^2 +8

-x+7=-x+7

Final Answer: (7,0) and (1,6)

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Find the distance from the line passing through points P(0,0,0) and Q(9,0,0) to the line passing through points R(3,-2,4) and S(
Alika [10]

Answer:

Step-by-step explanation:

Let the I line be PQ and II line be RS

Direction ratios  of PQ = (9,0,0) and direction ratios of RS = (0, -4, -12)

Distance between skew lines

=(a1-a2).(b1xb2)/|b1xb2|

where a1 and a2 are points

Here a1-a2 = (-3,2,-4) taking P and Q as points.

b1 = (9,0,0) and b2 = (0,-4,-12)

Shortest Distance = (a2-a1).(b1xb2)/|b1xb2|

De\left[\begin{array}{ccc}-3&2&-4\\9&0&0\\0&-4&-12\end{array}\right]

Numerator = -9(-24-16)=360

Denominator vector = i(0)-j(-108)+k(-36)

Modulus  of vector =\sqrt{108^2+36^2} =36\sqrt{10}

Hence Shortest distance = \sqrt{10}

4 0
3 years ago
Help me pls<br>this is worth 100<br>points​
sergeinik [125]

Answer:

The picture is the answer.

Hope this helps!

5 0
3 years ago
Read 2 more answers
4(6c+5) - 2(3c - 5) = 120
ira [324]

Answer:

c=5

Step-by-step explanation:

Simplify both sides of the equation.

4(6c+5)−2(3c−5)=120

(4)(6c)+(4)(5)+(−2)(3c)+(−2)(−5)=120(Distribute)

24c+20+−6c+10=120

(24c+−6c)+(20+10)=120(Combine Like Terms)

18c+30=120

Subtract 30 from both sides.

18c+30−30=120−30

18c=90

Divide both sides by 18.

\frac{18c}{18}=\frac{90}{18}

c=5

hope this helps... :/

8 0
3 years ago
Read 2 more answers
(6,3); (1,4)<br><br> Slope<br><br> Giving brainless answer
dezoksy [38]
(6,3) (1,4)
4-1/3-6
3/-3
The slope is -1
Hope that helped
7 0
2 years ago
Read 2 more answers
The ratio of Val's savings to Dan is 2:3 at first. After Dan spent P3000.00, Val's saving became 11/3 more of that Dan's remaini
andrew11 [14]

Answer:

P.7500.00

Step-by-step explanation:

We are told that:

The ratio of Val's savings to Dan is 2:3 at first.

Now, Dan spent P3000.00 and Val's saving became 1⅓ more of that Dan's remaining savings.

Let's say the total amount of savings they had at first was x.

Thus;

Val had: 2x/5

Dan had: 3x/5

Now, Dan spent P3000.00.

So amount Dan has left = (3x/5) - 3000

We are told Val's savings is now 1⅓ = 4/3 times that of Dan's remaining savings

Thus; 2x/5 = (4/3)((3x/5) - 3000)

2x/5 = 12x/15 - 4000

Multiply through by 15 to get;

6x = 12x - (3000 × 15)

6x = 12x - 45000

Rearranging, we have;

12x - 6x = 45000

6x = 45000

x = 45000/6

x = P.7500

4 0
3 years ago
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