4x+y=26 replace y with (x-4) & solve for x in this equation.
4x+(x-4)=26
4x+x=26+4
5x=30
x=30/5 

x=6 answer.
y=6-4
y=2 answer.
Proof.
4*6+2=26
24=2=26
26=26 Y=x-4

6 0

4 years ago

Read 2 more answers

The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the

Nataly [62]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2h$ , where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is $\frac{7}{2}$ cm.

$V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}$

$V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}$

$V=\frac{490\pi }{12}\text{ cm}^3$

$V=128.2817\text{ cm}^3$

Upon rounding to nearest tenth, we will get:

$V\approx 128.3\text{ cm}^3$

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

8 0

3 years ago

Which of the numbers below is not only a natural number, but also a whole number, a rational number, and an integer?

Korolek [52]

Its d bro
.
.
.
.
.
.
. Trust me im good at math

6 0

2 years ago

Identify the vertex and the axis of symmetry of the parabola. HELP PLEASE!!!

jeka94

We know that the graph goes in units of 1.

We know that the roots are -1 and 4. (Just assume it's accurate and not off by 0.0000000001.)

We can set it up as an equation: -1(x+1)(x-4) = y (I added -1 because there are two parabolas that go through those points on the x-axis, and since this parabola is facing down, I must add a negative a value.

Then multiply (F.O.I.L. - First, Outer, Inner, Last)

x^2 -4x + x - 4 = -(x^2 - 3x - 4) = -x^2 + 3x + 4

Then using -(b/2a) solve for vertex: -(3/-2) = 3/2

Plug 3/2 back into the equation.

-(3/2)^2 + 3(3/2) + 4 = -9/4 + (9/2) + 4 = 25/4

The vertex would be: (3/2, 25/4)

Axis of symmetry would be: x = 3/2

8 0

4 years ago