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2 years ago

How many solutions exist for the given equation? 0.75(x+40)=0.35(x+20)+0.35(x+20)please hurry

Mathematics

1 answer:

larisa86 [58]2 years ago

3 0

Answer:

only one

Step-by-step explanation:

0.75x+30=0.35x+7+0.35x+7

x=-320

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Where does the point (6,2) lie on a circle centered at (7,8) with a radius of 6

olya-2409 [2.1K]

Answer:

<em>The point lies barely outside of the circle</em>

Step-by-step explanation:

<u>Equation of a Circle</u>

Given its center (h,k) and radius r, the equation of a circle is given by

$(x-h)^2+(y-k)^2=r^2$

The circle given in the question is centered at (7,8) and has a radius of 6, thus its equation is

$(x-7)^2+(y-8)^2=6^2$

$(x-7)^2+(y-8)^2=36$

To find out if a point (a,b) is outside or inside the circle area, the following conditions apply.

if $(a-7)^2+(b-8)^2>36$ then the point lies outside of the circle area

if $(a-7)^2+(b-8)^2$ then the point lies inside of the circle area

Let's use the point as given (6,2)

$(6-7)^2+(2-8)^2=1+36=37$

Thus the point lies barely outside of the circle

5 0

2 years ago

30 points please help

SIZIF [17.4K]

Its option C

Verification

$\\ \sf\longmapsto x-5y\lt 7$

$\\ \sf\longmapsto -3-5(2)\lt 7$

$\\ \sf\longmapsto -3-10\lt 7$

$\\ \sf\longmapsto -13\lt 7$

6 0

2 years ago

Solve for y.<br> 15y - -9y + -10y = 14<br> y =<br> Submit

Tems11 [23]

Answer:

I think y=1

Step-by-step explanation:

15y+9y= 24y

24y-10y=14y

divide 14y by 14 and get just y and divide 14 by 14 to get one

y=1

8 0

2 years ago

what is the distance between the points (4, 5) and (10, 13) on a coordinte plane a. 12 units b. 8 units c. 10 units d. 14 units

qaws [65]

Answer:

<h2>10 units</h2>

Option C is the correct option

Step-by-step explanation:

Let the points be A and B

A ( 4 , 5 ) ------> ( x1 , y1 )

B ( 10 , 13 ) ------> ( x2 , y2 )

Now, let's find the distance between these points:

$\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

plug the values

$= \: \sqrt{(10 - 4) ^{2} + {(13 - 5)}^{2} }$

Calculate the difference

$= \sqrt{ {(6)}^{2} + {(8)}^{2} }$

Evaluate the power

$= \sqrt{36 + 64}$

Add the numbers

$= \sqrt{100}$

Write the number in exponential form with. base of 10

$= \sqrt{ {(10)}^{2} }$

Reduce the index of the radical and exponent with 2

$= 10 \: units$

Hope this helps..

Best regards!!

7 0

2 years ago

When rolling a number cube 500 times, how many times can you expect to roll a 3

Montano1993 [528]

he rolling number cute of 1,500

7 0

2 years ago

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