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Tomtit [17]
3 years ago
12

Use the interactive to graph the line that goes through the points (–4,–2) and (2,0). The point (a,1) lies on the line you graph

ed. What is the value of a?
Mathematics
2 answers:
SashulF [63]3 years ago
5 0
The equation of the line passing through points A(x_1,y_1), B(x_2,y_2) is:
y= \dfrac{y_2-y_1}{x_2-x_1}(x-x_1) +y_1.

If A(-4,-2) and B(2,0), then 
y= \dfrac{0-(-2)}{2-(-4)}(x-(-4))+(-2) \\ y= \dfrac{2}{6}  (x+4)-2 \\ y= \dfrac{1}{3} x- \dfrac{2}{3}.

<span>If point (a,1) lies on the line
</span>
y= \frac{1}{3} x- \frac{2}{3},

<span> then
</span>
1=\dfrac{1}{3} a- \dfrac{2}{3} \\  \dfrac{5}{3} =\dfrac{1}{3} a  \\ a=5.

Answer: y= \frac{1}{3} x- \frac{2}{3}, a=5.



levacccp [35]3 years ago
5 0

Answer:

the answer is 5!

Step-by-step explanation:

just did it and it was rightt

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Solve this please quickly
Volgvan

Answer:

1. m∠B=110°

2. 560 cm3

3. Numerical data

4. 2000 cm3

5. 50%

Step-by-step explanation:

1. The explanation of part 1 is given in the attachment.

2. Given dimensions : 10 cm, 8 cm, and 7 cm.

Let Length of cuboid =10 cm

breadth/width of cuboid  =8 cm

height of cuboid = 7cm

Volume of cuboid = length *width* height

=( 10 *8*7) cm3

=(560) cm3

3. Age, Birth date  and weight are the types/examples of "<u>Numerical Data"</u> because these all are describe in terms of numeric values.

4. 1 liter = 1000 cm3   or   1 cm3 = 0.001 liter

1.5 liters =(1.5*1000) cm3 = (15*100) =1500 cm3

1 dm3 =1000 cm3

0.35 dm3 = (0.35*1000) cm3 = (35*10) cm3 =350 cm3

Given expression: 1.5 litre + 0.35 dm3 + 150 cm3 = <u>               </u> cm3

1500 cm3 + 350 cm3 +150 cm3 = <u>2000</u> cm3

5. If A=(1/2)B, then B : A = <u>50</u> %

Ratio: B : A

B : (1/2) B

1: (1/2)

50 % (The value of A is half of the value of B)

Download docx
6 0
3 years ago
If C is the midpoint of EF, C has coordinate -8, F has coordinate 4, then find the coordinate of E
ycow [4]
<h3>Answer:    -20</h3>

==========================================================

Work Shown:

Let x be the location of E on the number line.

Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2

midpoint = (endpoint1 + endpoint2)/2

C = (E+F)/2

Plug in E = x, C = -8 and F = 4. Then solve for x

C = (E+F)/2

-8 = (x+4)/2

(x+4)/2 = -8

x+4 = 2(-8) .... multiplying both sides by 2

x+4 = -16

x = -16-4 .... subtract 4 from both sides

x = -20

The location of point E on the number line is -20

-------------

As a check, lets add E and F to get E+F = -20+4 = -16

Then cut this in half to get -16/2 = -8, which is the proper location of point C

This confirms our answer.

8 0
3 years ago
Write absolute value of the following rational number -6/11 , 15/21 , -9 , -21/-37 , 31/-54​
Dahasolnce [82]

Answer:

6/11, 15/21, 9, 27/37, 31/54

Step-by-step explanation:

Absolute value is when you determine the distance between a value and zero . Since you will always have a positive distance, your absolute values are positive as well.

4 0
3 years ago
Plss help i’ll give brainliest thank you!
Troyanec [42]

Answer:

The answer would be D or 8 bc 8x1=8 8x2=16 and that would be the GCF.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which equation can be used to solve for I in the following diagram?
vaieri [72.5K]
The answer is the the 3rd option! Hope this helps!
4 0
2 years ago
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