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3 years ago

Solve.

Mathematics

2 answers:

drek231 [11]3 years ago

5 0

Answer:

The solution is (4, 1).

Step-by-step explanation:

Our system is

$\left \{ {{2d-e=7} \atop {d+e=5}} \right.$

Since the coefficients of e are the same, we will add the two equations together to cancel it:

$\left \{ {{2d-e=7} \atop {+(d+e=5)}} \right. \\\\3d=12$

Divide both sides by 3:

3d/3 = 12/3

d = 4

Substitute this into the second equation:

4+e=5

Subtract 4 from each side:

4+e-4=5-4

e = 1

This makes the point (4, 1).

horrorfan [7]3 years ago

4 0

.hello :
2d−e=7....(1)
d+e=5.....(2)
(1)+(2) : 3d=12
d=4
subsct in (2) :
4+e=5
e=1
conclusion :
The solution is (4, 1).

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B) The number of volume of a cylinder is half of its number of the total surface area.

faust18 [17]

Answer:

$V=179.6cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$V=\pi r^2h$

where r is the radius and h is the height.

and the surface area:

$SA=2\pi r^2+2\pi rh$

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

$V=\frac{1}{2}SA$

substitutig the equivalent expressions on each side:

$\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)$

and we simplify and solve for the height (since is the value we don't know of the cylinder):

$\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)$

we substitute the value of the radius $r=7cm$ , and we get:

$h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm$

thus the volume is:

$V=\pi r^2h$

$V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3$

3 0

3 years ago

Read 2 more answers

Use the distributive property to write an expression equivalent to 5×(3+4)

Lubov Fominskaja [6]

The answer is 5x times 7

8 0

3 years ago

What is -2 × 1 1/4=

RoseWind [281]

Answer: -11/2

Step-by-step explanation:

Just set it up so it looks like this:

-2/1 x 11/4 and multiply across the top, which would be -22 and then the across the bottom, which would equal 4. So it’s -22/4. BUT you can simplify it down to -11/2 by dividing both sides of the fraction by 2. So then answer is -11/2

Hope that makes sense! :)

5 0

2 years ago

Can anyone help me ? I just need the numbers

Nimfa-mama [501]

Answer:

(-6, 0) and (0, 1.5)

Step-by-step explanation:

The equation of the line in pint slope form is expressed as;

y-y0= m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 1/4

(x0, y0) = (6,3)

Substitute into the formula;

y - 3 = 1/4(x-6)

4(y-3) = x - 6

4y - 12 = x-6

4y - x = -6+12

4y - x = 6

x = 4y - 6

To get the points to plot, we will find the x and y-intercept of the resulting expression.

For the x-intercept,

at y = 0

x = 4(0) - 6

x = -6

Hence the x-intercept is at (-6, 0)

For the y-intercept,

at x = 0

0 = 4y - 6

4y = 6

y = 6/4

y = 3/2

y = 1.5

Hence the y-intercept is at (0, 1.5)

Hence the required points to plot to get the required line are (-6, 0) and (0, 1.5)

7 0

3 years ago

The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered

grigory [225]

The pair of equations that has (0, 8) as its solution is: A. equation A and equation C.

<h3>What is the Solution to a System of equations?</h3>

The solution to a system of linear equations that are graphed is the pair of x and y coordinates of the points where two lines intersect.

In the graph given, the lines representing equations A and C intersect at point (0, 8). Therefore, the pair of equation that has a solution of (0, 8) is: A. equation A and equation C.

Learn more about solution of a system of equations on:

brainly.com/question/847634

#SPJ1

5 0

2 years ago