What is (-x+3)-(x-5)

Which of the following is the equation of a line parallel to the line y = 4x + 1,

Lisa [10]

Answer:

y = 4x - 19

Step-by-step explanation:

The line is parallel to the line whose equation is;

y = 4x + 1

Parallel lines have the same slope so the slope of our line is 4.

The line passes through point (5,1)

Slope = change in y ÷ change in x

Taking another point (x,y) on the line,

Slope = $\frac{y-1}{x-5}$ = 4

y - 1 = 4x - 20

y = 4x - 19

4 0

3 years ago

George would like to build a garden this year, George measure out his proposed garden and would like to know how many square fee

Blababa [14]

Answer:

The area is 105.5ft^2

Step-by-step explanation:

Required

The area of the composite figure

The figure can be divided to 2 shapes

(1) Rectangle: Length = 6ft and Width = 8ft

(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)

The area of the rectangle is:

$Area = 6 * 8 = 48$

The area of the trapezoid is:

$Area = \frac{1}{2}(9 + 14) * 5$

$Area = \frac{1}{2}(23) * 5$

$Area = 11.5 * 5$

$Area = 57.5$

So, the area of the garden is:

$Total = 48 + 57.5$

$Total = 105.5$

5 0

3 years ago

The hypotenuese of an isosceles right triangle is 13 inches. The midpoints of its sides are connected to form an inscribed trian

Georgia [21]

Answer:

The Sum of the areas of theses triangles is 169/3.

Step-by-step explanation:

Consider the provided information.

The hypotenuse of an isosceles right triangle is 13 inches.

Therefore,

$x^2+x^2=169\\2x^2=169\\x=\frac{13}{\sqrt{2} }$

Then the area of isosceles right triangle will be: $A=\frac{1}{2} x^2$

Therefore the area is: $A=\frac{169}{4}$

It is given that sum of the area of these triangles if this process is continued infinitely.

We can find the sum of the area using infinite geometric series formula.

$S=\frac{a}{1-r}$

Substitute $a=\frac{169}{4} \ and\ r=\frac{1}{4}$ in above formula.

$S=\frac{\frac{169}{4}}{1-\frac{1}{4}}$

$S=\frac{\frac{169}{4}}{\frac{3}{4}}$

$S=\frac{169}{3}$

Hence, the Sum of the areas of theses triangles is 169/3.

7 0

3 years ago

Please help me with this question. i would really appreciate it!

NemiM [27]

Answer:

it should be c or d

Step-by-step explanation:

5 0

2 years ago

Before we can make the mashed potatoes, we need to boil some water. The water starts out at room temperature, 70° F, and increas

Karolina [17]

Answer:

Part a) $y=50t+70$

Part b) $t=2.84\ min$

Step-by-step explanation:

Part a) Create a linear equation

Let

t ----> the time in minutes

y ---> the temperature in °F

we know that

The linear equation in slope intercept form is equal to

$y=mt+b$

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

In this problem we have

The slope m is equal to

$m=50\° F\ per\ minute$

The y-intercept is

$b=70\° F$

substitute

$y=50t+70$

Part b) How many minutes until the water boils at 212° F?

For y=212° F

substitute in the linear equation and solve for t

$212=50t+70$

$50t=212-70$

$50t=142$

$t=2.84\ min$

6 0

3 years ago