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ololo11 [35]
1 year ago
13

103-2-5 11. Pond the coordinates of the point. Pohance that lonel make (b) : (a) equidistant from (4.-6) and the origin; as well

as on (b) equidistant from (3, 8) and (-2,5) on the v-axis (c) /*+ 3y = 7
Mathematics
1 answer:
Bad White [126]1 year ago
6 0

Since the point is equidistant from (3,8) and (-2,5) on the y-axis, we are talking about the middle point, so:

\begin{gathered} Let \\ (x1,y1)=(3,8) \\ (x2,y2)=(-2,5) \\ mp=(xm,ym) \\ xm=\frac{x1+x2}{2}=\frac{3-2}{2}=\frac{1}{2}=0.5 \\ ym=\frac{y1+y2}{2}=\frac{8+5}{2}=\frac{13}{2}=6.5 \end{gathered}

Therefore the coordinates are:

(0.5,6.5)

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jasenka [17]
To find surface area, you can find the area od all sides and add them together
First, area of an triangle is 1/2 length times width
So you do 1/2 6*9= 1/2 54=  27  The area of the three triangles are 27
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The surface area is 96.6 meters squared

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3 years ago
(Look at the picture) help me
umka21 [38]

Answer:

i had this in rsm a long time ago, i think the answer(if it's an equation) should be:

6x + x = 7x

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Step-by-step explanation:

3 0
3 years ago
When should the direct pattern be used to communicate negative nows?
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3 0
3 years ago
While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff r
user100 [1]

Answer:

The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

 each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….  (constant difference is 3)

# 5  ,  10  ,  15  ,  20  ,  …………………………  (constant difference is 5)

# 12  ,  10  ,  8  ,  6  ,  ……………………………  (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

 U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- So the nth term is Un = a + (n – 1)d, where n is the position of the

 number in the series

* Lets solve the problem

- Jeff wants to increase the number of miles he runs each day

∴ He will add the initial value by constant number each day

- He plans on increasing the number of miles he runs a day by 1

∴ The constant value is 1 mile

-  On the first day of training, Jeff runs 5 miles

∴ The first value is 5 miles

∴ The series is arithmetic

∵ a = 5 , d = 1

- He do that for the remainder of the week

∵ The week has 7 days

∴ The series has 7 terms

∵ The rule of the series is Un = a + (n - 1)d

∵ a = 5 and d = 1

∴ Un = 5 + (n - 1)(1)

∴ Un = 5 + n - 1

∴ Un = 4 + n ⇒ n is the position of the number

- Substitute n from 1 to 7 to find the series

∴ The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

6 0
3 years ago
3. How many solutions does the system of equations have? 2x=-10y+ 6 and x+5y=3
ozzi

Answer:

<h2>3. Infinitely many</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}ax+by=c\\dx+ey=f\end{array}\right\\\\(1)\\\text{if}\ a=d,\ b=e,\ c=f,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=5\end{array}\right\\(2)\\\text{if}\ a=d,\ b=e,\ c\neq f,\ \text{then the system of equations has no solution}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=-5\end{array}\right

(3)\\\text{if}\ a\neq d\ \text{or}\ b\neq e,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}x-3y=5\\2x-3y=5\end{array}\right

\text{We have:}\\\\\left\{\begin{array}{ccc}2x=-10y+6&\text{add 10y to both sides}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}2x+10y=6&\text{divide both sides by 2}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}x+5y=3\\x+5y=3\end{array}\right

4 0
3 years ago
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