What is the solution to the equation?5(8 + 7) = 5 • x + 5 • 7

A.
x = 1

B.
x = 5

C.
x = 7

D.
x = 8

Answer:

-1/2

Step-by-step explanation:

The slope is always the value with the x.

Answer:

Slope = - 1/2x

Step-by-step explanation:

The line AB touching the circle at point B in the considered diagram is not tangent to the circle O.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

How are radius and tangent to a circle related?

There is a theorem in mathematics that:

If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to the line L.

So, if AB is a tangent, then ∠ABO = 90° and therefore satisfies Pythagoras theorem.

Assuming AB is tangent, then ABO is right angled we should get:

This statement is false, and therefore, so as our assumption is false that ABis tangent to circle O. Thus, AB is not tangent to circle O.

(so it might be that even if AB looks like touching at one point the circle O, but AB might be intersecting the circle at two points, or not touching it at all)

Thus, the line AB touching the circle at point B in the considered diagram is not tangent to the circle O.

Learn more about tangent to a circle here:

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Answer:

not tangent

Step-by-step explanation:

two reasons, first

Triangle AOB is not a right triangle

line AB intersects the circle O at two points.

Answer:

3/4 + 1/2 = 5/4 or 1 and 1/4

Step-by-step explanation:

Find a common denominator for the two fractions. 1/2 becomes 2/4 because you are multiplying top and bottom by 2 to get 4 since 3/4 already has 4.

Now it becomes 3/4 + 2/4. Add the numerators and keep the denominator. You get 5/4. To get a mixed number, divide 5 by 4. Four goes in once, and leaves a remainder of 1. Keep your original denominator and write 1 and 1/4.

Answer

Find out the how many lilies would the florist use to create 6 identical arrangements.

To prove

As given

A florist uses 200 lilies to make 8 identical flower arrangements.

Florist uses lilies to make 1 identical flower arrangements = 25

Now calculate lilies for the 6 identical arrangements.

lilies would the florist use to create 6 identical arrangements = 25 × 6

                                                                                                      = 150

Therefore the number of liles uses for 6 identical flower arrangements are 150.

Final answer:

To create 6 identical flower arrangements, the florist would use 150 lilies.

Explanation:

To solve this problem, we can use a ratio. The florist uses 200 lilies to make 8 identical flower arrangements, so the ratio is 200 lilies : 8 arrangements. To find out how many lilies would be used to create 6 identical arrangements, we can set up a proportion and cross multiply:

200 lilies / 8 arrangements = x lilies / 6 arrangements. Cross multiplying gives us 200 * 6 = 8x, which simplifies to 1200 = 8x. Dividing both sides by 8 gives us x = 150. Therefore, the florist would use 150 lilies to create 6 identical arrangements.

Learn more about The number of lilies used to create flower arrangements here:

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