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3 years ago

Find the distance between the following two points: (-4,10) and (-10, -1). Round to the nearest TENTH.

1 answer:

6 0

Answer:

distance = 12.5

Step-by-step explanation:

Use the distance formula to find the distance between any two points

√[(x₂ - x₁)² + (y₂ - y₁)²]

Points: (-4, 10) and (-10, -1)

Step 1. Plug these points into the formula (where the first point indicates the firsts x and y coordinates and the second point indicates the seconds x and y coordinates)

√[(-10 - (-4))² + (-1 - 10)²]

Step 2. Subtract

√[6² + (-11)²]

Step 3. Simplify (exponents)

√[36 + 121]

Step 4. Add

√157

Step 5. Simplify (radical)

12.52

Step 6. Round to the nearest tenth

12.5

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Keegan deposits into her savings account at the beginning of the year. The account earns 3% simple interest each year. She has $

fiasKO [112]

Answer:

She deposits $350 into the account at the beginning of the year.

Step-by-step explanation:

Let us assume that Keegan deposits $P into her savings account at the beginning of the year.

The account earns 3% simple interest each year and she has $360.50 in her account at the end of the year.

If Keegan did not make any additional deposits or withdrawals during the year.

So, we can write that $P[1+\frac{3}{100} ]= 360.50$

⇒ P = $350 (Answer)

7 0

3 years ago

Find the volume of the solid whose base is the circle x2+y2=25 and the cross sections perpendicular to the x-axis are triangles

ivanzaharov [21]

Triangles with height $h$ and base $b$ , with $b=h$ have area $\dfrac{b^2}2$ .

Such cross sections with the base of the triangle in the disk $x^2+y^2\le25$ (a disk with radius 5) have base with length

$b(x)=\sqrt{25-x^2}-\left(-\sqrt{25-x^2}\right)=2\sqrt{25-x^2}$

i.e. the vertical (in the $x,y$ plane) distance between the top and bottom curves describing the circle $x^2+y^2=25$ .

So when $x=4$ , the cross section at that point has base

$2\sqrt{25-16}=6$

so that the area of the cross section would be 6^2/2 = 18.

In case it's relevant, the entire solid would have volume given by the integral

$\displaystyle\int_{-5}^5\frac{b(x)^2}2\,\mathrm dx=4\int_0^5(25-x^2)\,\mathrm dx=\frac{1000}3$

6 0

3 years ago

What is the name of a three-sided polygon?

wel

Answer:

a triangle

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Use the diagram to answer, given that line LM is a common tangent to circle P and circle Q. Leave answers in simplified radical

drek231 [11]

Answer:

PL = 9

PN = 5√5

Step-by-step explanation:

8/12 = 6/PL

8PL = 72

PL = 9

PN² = 10² + 5² = 100 + 25 = 125

PN = √125 = 5√5

7 0

3 years ago

How do I solve this problem? This is Linear funct

grandymaker [24]

I would use a proportion for the Fred's Fouls part. Use the closest point to 12 possible, which is (15, 69.5).
Set up the proportion like so:
15/69.5 = 12/x
Now cross multiply.
15x = 834
Now divide both sides by 15 to get x by itself.
x = 55.6
Fred's Fouls will charge $55.60 for 12 wings.
Now plug in 12 as x for the Carlie's Chicken part and solve for f(12).
f(12) = 3.75(12) +10
f(12) = 45 +10
f(12) = 55
Carlie's Chicken will charge $55 for 12 wings.

7 0

3 years ago