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tia_tia [17]
3 years ago
11

WHAT IS THE ANSWER TO 0.16PSQUARED-0.0025

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0
(0.16)^2-0.0025=0.0256-0.0025=0.0231
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How many real solutions does this system of equations have? x2+y2=363x−y+1=0 A. 0 B. 3 C. 2 D. 1
Rus_ich [418]

Answer:

Correct option: C -> 2

Step-by-step explanation:

The first equation is:

x^2+y^2=363

And the second equation is:

x-y+1=0

From the second equation, we have:

y = x + 1

Using this value of y in the first equation, we have:

x^2 + (x+1)^2 = 363

x^2 + x^2 + 2x + 1 = 363

2x^2 + 2x= 362

x^2 + x - 181 = 0

Calculating the discriminant Delta, we have:

\Delta = b^2 - 4ac = 1 + 4*181 = 725

We have \Delta > 0, so we have two real values for x, therefore we have two solutions for this system.

Correct option: C.

(If the system of equation is actually:

x^2+y^2=36

3x-y+1=0

We would have:

y = 3x + 1

x^2+(3x+1)^2=36

x^2+9x^2+6x+1=36

10x^2+6x-35=0

\Delta = 36 + 1400 = 1436

We also have \Delta > 0, so we have two solutions for this system.

Correct option: C.)

3 0
3 years ago
in 2008 Summer Olympics the united states won 11 more medals in swimming than Australia, The United States won a total of 31 med
a_sh-v [17]

Answer:

20

Step-by-step explanation:

31-11=20

6 0
3 years ago
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A student earns a 98 on a test for answering one question incorrectly and earns a 90 for answering five questions incorrectly. I
Aleksandr [31]

This can be solved by solving the slope of the line. First let y be the rating of the test and x be the number of incorrect answers. Slope can be solved using the formula:

M = ( y2 – y1 ) / ( x2 – x1)

M = ( 90 – 98) / ( 5 -1 )

M = -2

<span>So the model has a negative slope</span>

7 0
4 years ago
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Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7
Norma-Jean [14]

Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:

-1/7

So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.

7 = -1/7(7) + b

Simplify the right side

7 = -1 + b

Add 1 to both sides

8 = b

The equation of the perpendicular line is:

y = -1/7x + 8

3 0
3 years ago
two parallel roads, Elm Street and Oak Street, are crossed by a third, Walnut Street, as shown in diagram. The value of X is​
Andrej [43]

Answer:

x=16

Step-by-step explanation:

2x + 33 = 5x - 15 (Alternate Interior Angles)

33 + 15 = 5x - 2x

48 = 3x

x= 48/3 = 16

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3 years ago
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