Find two numbers whose product is 8(5)=40 and whose sum is -14

Match each statement to it’s corresponding reason. Drake the items on the left to the correct location on the right PLEASE AND T

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

1) $\angle AED$ and $\angle BEC$ are vertical angles

2) $\angle AED$ and $\angle BEC$ are created by intersecting lines (definition of vertical angles)

3) $\angle AED$ and $\angle AEB$ form a linear pair, $\angle AEB$ and $\angle BEC$ form a linear pair

4) $\angle AED$ and $\angle AEB$ are supplementary, $\angle AEB$ and $\angle BEC$ are supplementary

5) $\angle AED \cong \angle BEC$

6 0

2 years ago

Two planes that do not intersect are______<br> parallel.

algol13

Answer:

Correct. Great job!

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How many times smaller is the volume of a cylinder if the diameter is multiplied by 1/2

Ann [662]

Calculating the volume of a cylinder the radius is squared,

If the radius was 8 when 8 is squared you get 64

If the radius is multiplied by 1/2 the radius would become 4, 4 squared is 16

16 / 64 = 1/4

The volume would be 1/4 the original volume, so it would be 4 times smaller.

7 0

3 years ago

A speck of dust in an electron microscope is 1.2 * 102 millimeters wide.The image is 5 * 102 times larger than the actual size.

bekas [8.4K]

Answer:

6.0×10⁴mm

Step-by-step explanation:

A speck of dust in an electron microscope is 1.2 * 102 millimeters wide.The image is 5 * 102 times larger than the actual size. How many millimeters wide is the actual speck of dust?

Given

Length of microscope = 1.2×10²mm

If the image is 5×10² larger

Width of the image = 5×10²(1.2×10²)

Width of the image = 5×1.2(10⁴)

Width of the image = 6.0×10⁴mm

5 0

3 years ago

What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25

Jobisdone [24]

Answer:

The coordinate of the vertex of the parabola is (h,k) = (3,20)

Step-by-step explanation:

The given equation of the parabola is $y=-5x^2+30x-25$

Now, the General Parabolic Equation is of the form:

$y = a (x-h)^2 + k$ , then the vertex is the point (h, k).

Now, to covert the given equation in the standard form:

$y=-5x^2+30x-25 = -5(x^2 -6x + 5)$

Using the COMPLETE THE SQUARE METHOD,

$-5(x^2 -6x + 5) = -5(x^2 -6x + (3)^2 + 5 - (3)^2)\\\implies -5(((x^2 -6x +(3)^2) + 5 - 9)\\= -5((x-3)^3 -4)\\= -5(x-3)^2 + 20$

or $y = -5(x-3)^2 + 20$

⇒The general formed equation of the given parabola is

$y = -5(x-3)^2 + 20$

Comparing this with general form, we get

h = 3, k = 20

Hence, the coordinate of the vertex of the parabola is (h,k) = (3,20)

5 0

4 years ago