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2 years ago

12) Which graph represents the solution for the equation-x-1=-x+ 2?

Mathematics

1 answer:

andriy [413]2 years ago

7 0

Simplifying,

1/2x-1=-x+2

3/2x=3

3x=6

x=2

Figure the rest out yourself

image is blurry

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Solve this equation. (1/2)^x-3= 16^3x-1

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3 years ago

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3 years ago

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3 years ago

An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters mor

butalik [34]

Answer:

The rectangle is 3.2 cm by 12.6 cm

Step-by-step explanation:

See attached image for a diagram.

Choose w to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.

Length = 3w + 3

The diagonal forms two right triangles, each with leg = w, other leg = 3w + 3, hypotenuse = 13.

The Pythagorean Theorem says $(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2$ so

$w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\$

Now solve using the Quadratic Formula with $a=5,\,b=9,\,c=-80$ .

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2$

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3 years ago

What is the solution of the system? Use elimination.

denis-greek [22]

Eliminate y's
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add to first equation

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7x=-28
divide both sides by 7
x=-4
sub back

x+y=-1
-4+y=-1
add 4 to both sides
y=3

(x,y)
(-4,3)
D is answer

4 0

3 years ago

Read 2 more answers