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Sergeu [11.5K]
3 years ago
11

The sum of 6 times a position number and 1 is the same as the sauare of 1 less than the number

Mathematics
1 answer:
stepan [7]3 years ago
5 0
If the number is x, then:
6x+1= (x-1)^2

Now we just need to simplify it
6x+1=(x-1)*(x-1)
6x+1=x^2-2x+1
8x=x^2
8=x

The number is 8.

To check the answer
6*8+1=7^2
49=49
correct :)
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What is the value of -2.4÷1.
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Answer:

-2.4

Step-by-step explanation:

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A photograph is 18 cm by 12 cm. It is to be surrounded by a frame of uniform width whose area is equal to that of the photograph
melisa1 [442]

Answer:

Width of the frame = 54 cm

Step-by-step explanation:

  1. Find area of the frame = l*h = 18*12 = 216 cm
  2. Area of the frame = area of the photograph = 216 cm
  3. Use the given fact, photograph is surrounded by a frame of uniform width = all sides are equal.
  4. width of the frame = 216/4 = 54

<u>Source</u><u>: TutorEye</u>

5 0
3 years ago
Caitlin plays on her school basketball team and scored 1/4 of the total points during the first three games. Her team scored 38
horsena [70]

Answer:

33 Points

Step-by-step explanation:

We can figure out that the total number of points scored by the team is 38+45+49=132. Since we know that Caitlin scored 1/4 of these total points, and 1/4 of 132=33, then she scored 33 points during the first three games.

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The length of a rectangle is 45 inches and the width is 8 inches. a similar rectangle has a width of 24 inches. what is the peri
jenyasd209 [6]
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3 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
PtichkaEL [24]

Answer:

Consider points (0, -5) and (-6, -1)

» General equation of a line:

{ \tt{y = mx + c}}

  • m is slope
  • c is y-intercept

<u> </u><u>S</u><u>l</u><u>o</u><u>p</u><u>e</u><u> </u><u>(</u><u>m</u><u>)</u><u>:</u>

{ \tt{m =  \frac{ - 1 - ( - 5)}{ - 6 - 0} }} \\  \\ { \tt{m =  \frac{4}{ - 6} }} \\  \\ { \tt{m =  -  \frac{2}{3} }}

<u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u> </u><u>(</u><u>c</u><u>)</u><u>:</u>

{ \tt{y = mx + c}}

consider point (0, -5)

{ \tt{ - 5 = c}} \\ { \tt{c =  - 5}}

Equation:

{ \boxed{ \tt{y =  -  \frac{2}{3} x - 5}}}

8 0
2 years ago
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