What is the slope of the line that passes through the points (-2,3) and (-14, -5)?

Mathematics

1 answer:

TEA [102]3 years ago

8 0

Slope = 2/3 (positive 2/3)
You use the formula Y2-Y1/X2-X1 in order to get the slope

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A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25

lozanna [386]

Answer:

The height of the building is of 244.95 feet.

Step-by-step explanation:

We use the Pythagorean Theorem to solve this question.

We have that:

The shadow of 50 feet is one side of the right triangle, while the height h is other side.

The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.

$50^2 + h^2 = 250^2$

$h^2 = \sqrt{250^2 - 50^2}$

$h = 244.95$

The height of the building is of 244.95 feet.

8 0

3 years ago

What equation represents a circle whose center is located at (-6,2) and whose radius is 10 units?

Anna [14]

One of the equations for a circle is (x - h)² + (y - k)² = r² where (h, k) are the center and r is the radius.
So after substitution:
(x + 6)² + (y - 2)² = 100

Notice the equation has the opposite of h and k and 100 is the result of squaring 10.

3 0

3 years ago

tom had a platter of chocolate wafers. he ate 5 of them and then gave his brother 3 he then moved on to his baseball team of 8 m

Aloiza [94]

Tom started with total 72 chocolate wafers.

Explanation

The number of chocolate wafers taken by 8 members of the baseball team are in the sequence : $1, 3,5,7,9,11,13,15$

The above sequence is arithmetic sequence with first term(a₁)= 1 and common difference (d) = 2

Formula for Sum of first $n$ terms in arithmetic sequence is....

$S_{n}= \frac{n}{2}[2a_{1}+(n-1)d]$

So, the Sum of 8 terms in that sequence....

$S_{8}= \frac{8}{2}[2(1)+(8-1)(2)]\\ \\ S_{8}= 4[2+7(2)]\\ \\ S_{8}=4(2+14)\\ \\ S_{8}=4(16)=64$

That means, the total number of chocolate wafers taken by the baseball team members is 64. Tom ate 5 and then gave his brother 3 chocolate wafers at first.

So, the total number of chocolate wafers at starting $=64+5+3=72$