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Otrada [13]
3 years ago
6

How do I solve -3(3+x)+(x-6)=-4 ?

Mathematics
1 answer:
zysi [14]3 years ago
7 0

\huge\boxed{x=-\frac{11}{2}}

Start by distributing the -3 to the (3+x). -3(3) + (-3)(x) + (x-6) = -4

Multiply and simplify. -9-3x+(x-6)=-4

Rearrange the terms. -3x+x-9-6=-4

Combine like terms. -2x-15=-4

Add 15 on both sides. -2x=11

Divide both sides of the equation by -2. x=\boxed{-\frac{11}{2}}

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What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?
AfilCa [17]

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

4 0
2 years ago
Explain how you would graph 3x+9y= -18 without converting to slope-intercept form​
Zolol [24]

Answer:

you would solve using x and y intercepts.

Step-by-step explanation:

for the X intercept, Y=0

3x=-18. you divide by three on both sides

x=-6. (-6,0)

the for the y intercept, X=0

+9y=-18. you divide 9 on both sides.

y=-2. (0,-2)

then you graph both and connect the points on the x and y axis.

Brainiest always accepted!!!!1

8 0
3 years ago
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zhenek [66]

Answer:

A) x=2, 8

Step-by-step explanation:

abs(x-5)=3

x-5=3, x-5=-3

x=3+5=8,

x=-3+5=2

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3 years ago
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Hatshy [7]
Nancy & Bill can have 2x-5 coins
7 0
2 years ago
In this figure, mBDA=___ and mBCA=___.
san4es73 [151]
MBDA= ADB and mBCA= ACB
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3 years ago
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