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3 years ago

Which graph represents the solution set for the system x + y> 5 and -3x + 2y< -2.

Mathematics

1 answer:

Leviafan [203]3 years ago

6 0

Is there any picture we can work with?

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Find the area of the trapezoid

Vladimir79 [104]

Area = 1/2 x (a+b) x h

= 1/2 x ( 5+ 13) x 17
=1/2 x 18 x 17
= 153cm. (a and b are the two parallel lines. H is height.)

7 0

3 years ago

Which fraction is equivalent to -3/2?

mel-nik [20]

3/-2 so the first option

5 0

3 years ago

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Which are the solutions of x2 = 19x + 1?

Finger [1]

Answer:

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

Step-by-step explanation:

we have

$x^2=19x+1$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2}-19x-1=0$

$a=1\\b=-19\\c=-1$

substitute in the formula

$x=\frac{-(-19)\pm\sqrt{-19^{2}-4(1)(-1)}} {2(1)}$

$x=\frac{19\pm\sqrt{365}} {2}$

$x=\frac{19+\sqrt{365}} {2}$

$x=\frac{19-\sqrt{365}} {2}$

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

therefore

StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction

6 0

3 years ago

Read 2 more answers

What are the coordinates of point Q?

Lady bird [3.3K]

Answer:

Q (-4, -2); 2 units; Q' will be above the x-axis; 2 unites; no; yes, the y coordinates are multiplied by -1; Q' (-4, 2); R' (-2, 2), S' (1, 5), T' (-2, 5);

Step-by-step explanation:

even after a reflection over the x-axis, each points distance from the x-axis will stay the same

the x-coordinates don't change because the distance from the y-axis stays the same

the picture below shows points of Q'R'S'T', just connect the vertices

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2 years ago

Solve the equation: 15=2y-5

Arisa [49]

Answer:

2 times 10 - 5 equals 15

Step-by-step explanation:

hope that helps

8 0

3 years ago

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