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Nataliya [291]
3 years ago
8

Select the inequality that corresponds to the figure:

Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer:

C. 2x-y>-7

Step-by-step explanation:

The Line is not part of the region since is drawn in the graph using a dotted line, but we still need to find its equation.

The equation of a line is y=mx+b, where 'm' is the slope.

'm' can be obtained using the following formula.

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

To find the slope, as well 'b' we need points from the line, those will be (-6,-5), (0,7) as (x2,y2) and (x1,y1) respectively

Evaluating those point in the formula we have 'm' =2

Using now the above result and the point (0,7) in the equation y=mx+b, we obtain the value for 'b'.

7=2*0+b7

b=7

Hence our line is y=2x+7, and if we write it in standard form we obtain the following> y-2x=7.

Now, since our line is not part of the region, and the region is below that line, there is the < sign.

Hence the inequality that corresponds to the figure is y-2x<7 or, if we multiply by -1 (changin orientation of signs)   2x-y>-7

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Could someone please explain to me how to determine the answer to this question?
dexar [7]

Concept: Solution of the given attachment is based on the addition of two vectors as given below.

Consider two vectors P and Q, then resultant of these two vectors is given as,

R = P + Q

To find the addition of G & H vectors. That is G + H =?

In the given figure;

Vector A = - Vector G because both are in opposite directions -----(i)

From the figure,

A + H = F --------------- using the given concept ---------(ii)

Now, shall replace the value of A from equation (i) in equation(ii)

- G + H = F

or, G + (- H) = - F

Since the vector addition of G & H is not equal to F.

Hence, the given statement G + H = F is False.

6 0
3 years ago
If one root of the equation is 4x^2- 2x+p-4 be the reciprocal of other. then find the value of p​
SashulF [63]

Answer:

p = 8

Step-by-step explanation:

Let one root of the eqn. be alpha . Other root is 1/alpha .

We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant  & "a" is the co-efficient of x^2.

Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )

\frac{c}{a} = 1\\=> \frac{p - 4}{4} = 1\\=> p - 4 = 4\\=> p = 4 + 4 = 8

5 0
3 years ago
Tell if the ordered pair is a solution of the system of inequalities.
ale4655 [162]

Answer:

top one yes, bottom one no

Step-by-step explanation:

3 0
3 years ago
Put the following lengths in ascending order, 900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km.
matrenka [14]

Answer: 8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm

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

Explanation:

To be able to compare these various measurements, all of them must be the same unit. Let's convert each measurement to meters. If the measurement is already in meters, then we'll move onto the next measurement.

Here are some useful conversion factors

  • 1 m = 100 cm
  • 1 m = 1000 mm
  • 1 km = 1000 m

With those conversion factors in mind, we get the following conversions:

  • 900 cm = (900 cm)*(1 m/100 cm) = (900/100) m = 9 m
  • 8.9 m = already in meters, moving on
  • 895 cm = 8.95 meters; divide by 100 to convert from cm to meters as shown above
  • 9.1 m = already in meters, moving on
  • 12000 mm = (12000 mm)*(1 m/1000 mm) = (12000/1000) m = 12 m
  • 0.0092 km = (0.0092 km)*(1000 m/1 km) = (0.0092*1000) m = 9.2 m

Here is the summary of the conversions:

  • 900 cm = 9 m
  • 8.9 m = 8.9 m
  • 895 cm = 8.95 m
  • 9.1 m = 9.1 m
  • 12000 mm = 12 m
  • 0.0092 km = 9.2 m

The original list of

{900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km}

becomes this equivalent list

{9 m, 8.9 m, 8.95 m, 9.1 m, 12 m, 9.2 m}

in that exact order.

After converting everything to meters, we can then sort the values from smallest to largest. Doing so gets us this sorted list of

{8.9 m, 8.95 m, 9 m, 9.1 m, 9.2 m, 12 m}

Then you convert back each measurement to its original form

{8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm}

which is the final answer.

8 0
3 years ago
Read 2 more answers
Ben and josh share tips in the ratio 3:7 last week ben received £24
Rasek [7]
We need to divide 24/3 to get a number that 1 gets. 
$8 per 1 in the ratio.
8 x 7 =
56.

Therefore, Josh got $56 in tips.

7 0
3 years ago
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