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3 years ago

1.

Mathematics

1 answer:

denpristay [2]3 years ago

3 0

Answer:

x+65=180(being cointerior angle)

x=180-65

x=115

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Write the equation in standard form for the parabola with vertex (0,0) and directrix y=-6

Serggg [28]

This is a parabola which has vertex at the origin and opens upwards.

general form is x^2 = 4ay where a is the focus

the focus is the same distance from the vertex as the directrix So it is at the point (0, 6)

required equation is x^2 = 4*6 y

or y = (1/24) x^2

7 0

4 years ago

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sleet_krkn [62]

Answer:

Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

Step-by-step explanation:

Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be done:

Adam + Brandon + Chen = 200

Damion + Erica = 150

Brandon + Chen + Damion = 215

Adam + Erica = 135

Chen + Damion + Erica = 224

Adam + Brandon = 126

Adam + Brandon = 126 + Chen = 200

Chen = 200 - 126

Chen = 74

Damion and Erica scored more than Chen

Chen + Damion + Erica = 224

74 + Damion + Erica = 224

Damion + Erica = 150

Damion = 75

Erica = 75

Brandon + Chen + Damion = 215

Brandon + 74 + 75 = 215

Brandon = 215 - 74 - 75

Brandon = 66

Adam = 350 - 75 - 75 - 74 - 66

Adam = 60

Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

3 0

3 years ago

You invested a total of $25000 at 3% and 4.5% simple interest. During one year, the two accounts earned $900. How much did you i

Sedaia [141]

A:amount of money invested in the account with 3% simple interest
B: amount of money invested in the account with 4.5% simple interest
a+b=25000 ——>a=25000-b

0.03a+0.045b=900
30a+45b=900000
2a+3b=60000

2(25000-b)+3b=60000
50000-2b+3b=60000
B=10000
A=25000-10000=15000

4 0

4 years ago

X + 5 = 10 A) x = 2 B) x = 3 C) x = 4 D) x = 5

MrRa [10]

D.) x = 5, because when you plug five in for x, 5 + 5 = 10 is correct.

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3 years ago

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What is the average score? 79, 82, 85, 91, 97, 73, 88, 87, 85, 92, 90, 85, 86, 91, 94, 85, 92

alexdok [17]

79+82+85+91+97+73+88+87+85+92+90+85+86+91+94+85+92=1482 divided by 17 ( the amount of numbers) = 87.17

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3 years ago

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