The perimeter of the surface

The distance between two towns on a map is 2.5 centimeters. The map uses a scale where 1 centimeter represents 50 kilometers. Wh

lidiya [134]

Answer:

125 kilometers

Step-by-step explanation:

2.5 * 50 = 125

4 0

4 years ago

what are the ex and Y coordinates of point E, which partition the directed line segment from A to B into a ratio of 1:2?

Paul [167]

Answer:

Step-by-step explanation:

The formula for this is the one we use when we are given the ratio the directed line segment is separated into as opposed to the point being, say, one-third of the way from one point to another. The 2 equations we use to find the x and y coordinates of this separating point are:

$x=\frac{bx_1+ax_2}{a+b}$ and $y=\frac{by_1+ay_2}{a+b}$ where x1, x2, y1, y2 come from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in for x first:

$x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0$ and then y:

$y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1$

The coordinates of point E, then, are (0, 1).

6 0

3 years ago

Read 2 more answers

I need help please, I am so confused.

vazorg [7]

Answer:

$\begin{tabular}{| c | c | c |}\cline{1-3} Equation & x-intercepts & x-coordinate of vertex\\\cline{1-3} $y=x(x-2)$ & $x=0, x=2$ & $x=1$\\\cline{1-3} $y=(x-4)(x+5)$ & $x=-5, x=4$ & $x=-0.5$\\\cline{1-3} $y=-5x(x-3)$ & $x=0, x=3$ & $x=1.5$\\\cline{1-3} \end{tabular}$

Step-by-step explanation:

x-intercepts are when the curve intercepts the x-axis, so when y =0.

Therefore, to find the x-intercepts, substitute y = 0 and solve for x.

The vertex is the turning point: the minimum point of a parabola that opens upward, and the maximum point of the parabola that opens downward. As a parabola is symmetrical, the x-coordinate of the vertex is the midpoint of the x-intercepts.

Equation: $y=x(x-2)$

$\implies x(x-2)=0$

$\implies x=0$

$\implies (x-2)=0 \implies x=2$

Therefore, the x-intercepts are x = 0 and x = 2

The midpoint of the x-intercepts is x = 1, so the x-coordinate of the vertex is x = 1

Equation: $y=(x-4)(x+5)$

$\implies (x-4)(x+5)=0$

$\implies (x-4)=0 \implies x=4$

$\implies (x+5)=0 \implies x=-5$

Therefore, the x-intercepts are x = -5 and x = 4

The midpoint of the x-intercepts is x = -0.5, so the x-coordinate of the vertex is x = -0.5

Equation: $y=-5x(3-x)$

$\implies -5x(3-x)=0$

$\implies -5x=0 \implies x=0$

$\implies (3-x)=0 \implies x=3$

Therefore, the x-intercepts are x = 0 and x = 3

The midpoint of the x-intercepts is x = 1.5, so the x-coordinate of the vertex is x = 1.5

$\begin{tabular}{| c | c | c |}\cline{1-3} Equation & x-intercepts & x-coordinate of vertex\\\cline{1-3} $y=x(x-2)$ & $x=0, x=2$ & $x=1$\\\cline{1-3} $y=(x-4)(x+5)$ & $x=-5, x=4$ & $x=-0.5$\\\cline{1-3} $y=-5x(x-3)$ & $x=0, x=3$ & $x=1.5$\\\cline{1-3} \end{tabular}$

4 0

2 years ago

A jar contains 26 fluid ounces of spaghetti sauce how many cups of spaghetti sauce do 4 jars contain

qaws [65]

There are 8 fluid ounces in a cup.

First multiply 26 x 4 = 104
There are 104 fluid ounces in 4 jars of spaghetti sauce.

Now divide 104 by 8.
104/8 = 13

4 jars of spaghetti sauce contain 13 cups of spaghetti sauce.

6 0

3 years ago

A rectangular prism has a volume of 175 cubed inches. The height of the prism is 7 inches. The base is a square. What is the len

Dmitriy789 [7]

Answer:

The length of a side of the base is $5\ in$