3 years ago

X is less than 9 and greater then or equal to -3 Write in inequality

Mathematics

1 answer:

GREYUIT [131]3 years ago

4 0

The answer will be
9>x>=-3

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10cm+blank equals 100cm

sveticcg [70]

90 cm
10+90
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4 years ago

Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq

TiliK225 [7]

Answer:

The perimeter of rectangle is $18\ cm$

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

$x=y+5$ ----> equation A

$120=xy+2x^{2}+2y^{2}$ ---> equation B (area of the constructed figure)

substitute the equation A in equation B

$120=(y+5)y+2(y+5)^{2}+2y^{2}$

$120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0$

using a graphing calculator -----> solve the quadratic equation

The solution is

$y=2\ cm$

Find the value of x

$x=y+5 ----> x=2+5=7\ cm$

Find the perimeter of rectangle

$P=2(x+y)=2(7+2)=18\ cm$

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4 years ago

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A square pyramid is shown below:

madreJ [45]

Let Surface Area A, a the base edge and h the height:

A = a²+2a√(a²/4+h²)

h=?

pythagorean theorem:

h²=c²-a²

h=√(c²-a²)

h=√(8²-(.7/2)²)= 8

plug it in the above equation A= 11.7ft²

So A is correct

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4 years ago

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Write the equation of a line that contains (2,−2) and perpendicular to another line with slope −1.

Reika [66]

Answer:

y = x - 4

Step-by-step explanation:

Perpendicular slope = 1

y + 2 = 1 (x - 2)

y + 2 = x - 2

y = x - 4

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3 years ago

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Which ordered pair represents the y-intercept of the graph of the equation y = -3x - 9?

german

The y-intercept is the point where the graph crosses the y-axis. It is found by setting x=0. For your equation, that makes the x-term vanish and only the constant remains. The ordered pair is ...
(x, y) = (0, -9)

4 0

4 years ago