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geniusboy [140]
3 years ago
6

Solve the simultaneous equation 3x+2y=4 4x+5y=10

Mathematics
1 answer:
hjlf3 years ago
7 0

Answer:

2x=4-2y

x=(4-2y)/3

4x+5y=10

4[(4-2y)/3]+5y=10

(16-8y)/3+5y=10

(16-8y+15y)=10*3

7y=30-16=14

y=2

Step-by-step explanation:

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3 years ago
Is 5 and four fifths = 5.8
nekit [7.7K]
Yes. That's exactly right. Good work.
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15 POINTS!!!!!!! What is the equation of the line in slope-intercept form? Line on a coordinate plane. Line runs through points
suter [353]

Answer:

y=\frac{4}{3}x+4 is the equation of line in slope intercept form.

Step-by-step explanation:

Line runs through points begin ordered pair negative 3 comma 0 end ordered pair and begin ordered pair 0 comma 4.

First ordered pair: (-3,0)

Second ordered pair: (0,4)

We have two points and need to find equation of line in slope intercept form

\text{Slope (m)}=\dfrac{y_2-y_1}{x_2-x_1}

\text{Slope (m)}=\dfrac{4-0}{0-(-3)}=\dfrac{4}{3}

y-intercept, when x=0 , (0,4)

Equation of line in slope intercept form:

y=mx+b

where, m=\frac{4}{3} and b=4

Required equation:

y=\frac{4}{3}x+4

Thus, y=\frac{4}{3}x+4 is the equation of line in slope intercept form.

3 0
3 years ago
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A quadratic function is defined by g(x) = (x + 4)2 +7.
Travka [436]

Step-by-step explanation:

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4 0
2 years ago
A cone with a radius of 3" has a total area of 24π sq. in. Find the volume of the cone.
Rus_ich [418]
The answer is 12π.

To get the volume of the cone, we need the height. The radius is given.

V = πr² × (h/3)

The total surface area of the cone is:
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Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
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h = √16
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Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π
5 0
3 years ago
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