3 years ago

Through(0,4), parallel to -2x+4y=7

Mathematics

1 answer:

Tamiku [17]3 years ago

4 0

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A rectangle has a perimeter of 34 cm. It’s length is 5 more than twice it’s width.Write and solve a system of equations to find

Aloiza [94]

Answer:

Length = 13 cm

Step-by-step explanation:

Length (L) = 2 x Width (W) + 5

2 x (L + W) = 34

2 x (2W + 5 + W) = 34

6W + 10 = 34

6W = 34-10 = 24

W=4

L = 13

6 0

3 years ago

Write the equation of the line that has a slope of m=3 and passes through (4 , 2)

mina [271]

Answer:

y=3x-10

Step-by-step explanation:

For this, you would use the point slope formula, which is (y-y1)=m(x-x1). x1 and y1 are the coordinates from the ordered pair.

(y-y1)=m(x-x1)

(y-2)=3(x-4)

y-2=3x-12

y=3x-10

To check, you can plug the coordinates into the equation.

y=3x-10

(2)=3(4)-10

2=12-10

2=2

3 0

3 years ago

Hi, can someone please help, and possibly explain the answer please.

mr_godi [17]

Answer:

$x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}$

Step-by-step explanation:

Quadratic formula: $x=\frac{-b\±\sqrt{b^2-4ac} }{2a}$ when the equation is $0=ax^2+bx+c$

The given equation is $1=-2x+3x^2+1$ . Let's first arrange this so its format looks like $y=ax^2+bx+c$ :

$1=-2x+3x^2+1$

$1=3x^2-2x+1$

Subtract 1 from both sides of the equation

$1-1=3x^2-2x+1-1\\0=3x^2-2x+0$

Now, we can easily identify 3 as a, -2 as b and 0 as c. Plug these into the quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}$

I hope this helps!

8 0

3 years ago

9x^2+ 8x + 3 = 0 solve using quadratic formula

pav-90 [236]

18x + 8x = -3
26x = -3
x = -3/26

3 0

3 years ago

Write in slope-intercept form an equation of the line that passes through the given points. (5,4), (10,8)

professor190 [17]

Answer:

y=4/5x

Step-by-step explanation:

y=mx+b

plug in y and x into each equation and solve!

4=5m+b

8=10m+b

4=5m

m=4/5

b=0

y=4/5x+0

6 0

3 years ago