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ehidna [41]
3 years ago
14

1: 2 + 3a + 9a 2: 7 - 5x + 1

Mathematics
2 answers:
charle [14.2K]3 years ago
8 0

Answer:

1. 2 + 12a

2. -5x + 8

Step-by-step explanation:

ch4aika [34]3 years ago
5 0
1. 2 + 12a
2. -5x + 8
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A rectangle has an area of 19.38 cm2. When both the length and width of the rectangle are increased by 1.50 cm, the area of the
Lostsunrise [7]

Answer: 5.7\ cm

Step-by-step explanation:

Given

Rectangle has an area of 19.38\ cm^2

Suppose rectangle length and width are l and w

If each side is increased by 1.50\ cm

Area becomes A_2=35.28\ cm^2

We can write

\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)

Substitute the value of width from (ii) in equation (i)

\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7

Width corresponding to these lengths

w=5.7,\ 3.4

Therfore, we can write the length of the longer side is 5.7\ cm

8 0
3 years ago
The slope of the line passing through the points (-6,3)and(-6,39) is
8_murik_8 [283]
Hmm, the slope is undefined. But like what exactly are you looking for as an answer?
4 0
3 years ago
Read 2 more answers
A wooden board has a volume of 0.225 cubic m and a mass of 146.25 kilograms.
Triss [41]

Answer:

650 kg/m³

Step-by-step explanation:

The density is the ratio of mass to volume. The volume is the product of the dimensions of the prism.

 density = (146.25 kg)/((1.5 m)(0.75 m)(0.2 m)) = 146.25/0.225 kg/m³

 = 650 kg/m³

Hope this answer helps you :)

Have a great day

Mark brainliest

5 0
3 years ago
For what value of p the equation [p-3]x²+4[p-3]+4=0
Vikentia [17]

Step-by-step explanation:

(p-3)[x²+4]+4=0

(p-3)[x²+4]=-4

(p-3)=-4/x²+4

p=-4/x²+4+3

p=-4+3(x²+4)/x²+4

p= -4+3x²+12/x²+4

p=8+3x²/x²+4

3 0
2 years ago
Find the x and y intercepts of the equation. Express your answers as points. 5 x + 7 y = − 140
iVinArrow [24]

Answer:

x-intercept(s): (-28, 0)

y-intercept(s): (0, -20)

Step-by-step explanation:

Try This Answer.

5 0
2 years ago
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