Can someone explain to me how to do this

Answer:

Step-by-step explanation:

If it's parallel, that means it has the same slope: -1/5.

Use point-slope form to write the equation:

y - 4 = -1/5 (x - 7)

If you wish to write in point-intercept form:

y - 4 = -1/5 x + 7/5

y = -1/5 x + 27/5

If two lines are parallel, it means that they will have the same gradient:

And remember, the equation of a line is y = mx +c

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So we know that the equation of the parallel line is:

y = - x + c        through point (7, 4)

All we need to do now is to work out what c is

Note: at point (7,4)  x = 7 , and y = 4.

So to work out c, we substitute in the values of x and y, and solve:

y = - x + c

4 = - * 7 + c

4 = -1.4 + c

5.4 = c

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Finally, we just put the value of c back into the original equation

y = - x + 5.4

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Answer:

The equation of the a line parallel to y = - x + 3    through point (7,4)

is: y = - x + 5.4

The green ribbon is 96 cm long and if 67 cm of the green ribbon is used to wrap a present, the amount left is 29 cm

An equation is an expression that shows the relationship between numbers or variables.

Let x represent the length of the green ribbon.

The green ribbon is 38 cm longer than the blue ribbon, hence:

x = 58 cm + 38 cm

x = 96 cm

The green ribbon is 96 cm long.

If 67 cm of the green ribbon to wrap a present, the amount left is:

Amount left = 96 cm - 67 cm = 29 cm

Find out more at: brainly.com/question/21105092

Answer:

a) green ribbon is 96cm long

b) 29cm is left

Step-by-step explanation:

a) length of green ribbon = 58cm + 38cm = 96cm

b) length of green ribbon left = 96cm - 67cm = 29cm

Multiplying numerators and denominators to get the LCD in all fraction denominators

= 38−21×24×2

Then rewriting the equation with the equivalent fractions

= 38−428

With like denominators we can operate on just the numerators

= 3−4 2/8

=−39/ 8

Simplifying the answer

= − 39/8

= − 39/8

= − 4 7/8

Answer:

14.13

Step-by-step explanation:

The formula for area of a circle is πr^2.

This is a semicircle which is half a circle, so the formula for area of a semicircle is (πr^2)/2

The diameter of the circle is 6, which means that the radius is 3. Since the radius of a circle is always half the diameter. (1/2*6=3)

This means we can plug the known values into our formula.

π(3)^2/2

Simplify.

9π/2

Now we plug 3.14 in for π.

9(3.14)/2

28.26/2

14.13