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Sedbober [7]
3 years ago
14

What is the equation in point-slope form of the line passing through (1, 9) and (−1, 11)?

Mathematics
1 answer:
ololo11 [35]3 years ago
7 0
Point slope form: 
y-y_1=m(x-x_1)

m=slope 
(x1,y1) 

First we need to find the slope using the slope formula:
\frac{y_2-y_1}{x_2-x_1} =slope

Given the two coordinates: 
<span>(1, 9) and (−1, 11)

Plug them into the slope formula: 
</span>\frac{11-9=2}{-1-1=-2} =slope
Simplify: 
\frac{2}{-2} =-1
<span>
Now we know that: 
m=-1  and the (x1,y1) would be </span><span>(1, 9)
</span>
Now we simply plug in the info: 
y-9=-(x-1)

Final answer: y − 9 = −(x − 1)
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Write all ratios in is There are three children in the Skosana family. Each week the eldest earns R270, the middle child earns R
geniusboy [140]

From the amounts that are given, the ratio of the earnings will be 3:2:1.

<h3>How to calculate ratio</h3>

From the information, the eldest earns R270, the middle child earns R180 and the youngest earns R90.

Therefore, the common factor to the numbers will be 90. Therefore, the ratio will be:

270/90 = 3

180/90 = 2

90/90 = 1

The ratio is 3:2:1.

Learn more about ratio on:

brainly.com/question/2328454

4 0
2 years ago
Convert: 17 yards to meters (to the nearest tenth).
Inessa [10]
1 yard is about 0.9 meters. So you can do the rule of three, and let x be the number of meters that represents 17 yards:

1y --> 0.9 m
17y --> x

x= 17*0.9
x=15.3

So 17 yards = 15.3 meters

Hope this Helps! :)
4 0
3 years ago
Read 2 more answers
The edge of one cube is 4 m shorter than the edge of a second cube. The volumes of the two cubes differ by 1216 m^3. Find the ed
UkoKoshka [18]
Volume of cube, V = edge^3
Let edge of cube#1 = (x-4) m, therefore volume of cube#1, v1 = (x-4)^3 m
Let edge of cube#2 = x m, therefore volume of cube#2, v2 = x^3 m
Diff. in volume (in m) = 1216 = v2-v1 = [ x^3 - (x-4)^3 ] 
= x^3 - [(x-4)(x-4)(x-4)]
= x^3  - [<span>x^2 - 8x +16(x - 4)]
= </span> x^3 - [ x^3 - 12x^2 + 48x - 64 ]
= 12x^2 - 48x + 64
= 4 (3x^2 - 12x + 16)
Therefore 4 (3^2 - 12x + 16) = 1216
3x^2 - 12x + 16 = 1216/4 = 304
3x^2 - 12x - 288 = 0
3 (x^2 - 4x - 96) = 0
(x^2 - 4x - 96) = 0
(x - 12) (x + 8) =0
(x-12) = 0
Therefore x = 12 m 
Edge of cube#2 = x m = 12m
Edge of cube#1 = (x-4) m = 8m
7 0
3 years ago
Read 2 more answers
2. Write each of these expressions in the form (+)!+, where and are constants.
ValentinkaMS [17]

Step-by-step explanation:

a)6!+12-3

=6!+9

b)-18+3!+4

=3!-14

=3!+(-14)

both are in the form if (+)!+constant.

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4 0
3 years ago
The origin is a point anywhere along the x-axis. True or False
a_sh-v [17]

Answer:

False

Step-by-step explanation:

The origin is at 0 on the x-axis, and 0 on the y-axis. Hence, (0,0) lies on both the axis.

hope this helps and is right. p.s. i really need brainliest :)

if my answer is wrong then i am incredibly sorry!

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