7. It is impossible for the Census Bureau to obtain all the census data about the

Which graph shows the solution to the system of linear inequalities? y< 2x-5 y>-3x + 1

trapecia [35]

Answer:

See explanation

Step-by-step explanation:

Plot the solution sets to both inequalities.

1. For the inequality $y$ First, plot the dotted line $y=2x+5$ (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

$2\cdot 0-5=-5$

so the origin does not belong to the needed part. Shade the part, which does not include origin.

2. For the inequality $y>-3x+1.$ First, plot the dotted line $y=-3x+1$ (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

$-3\cdot 0+1=1>0$

so the origin does not belong to the needed part. Shade the part, which does not include origin.

3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.

5 0

3 years ago

Giving 100 point's and brainliest to whomever gets this correct

Oksana_A [137]

Answer:

1 x 60, 2 x 30, 3 x 20, 4 x 15, 5 x 12, 6 x 10, 10 x 6, 12 x 5, 15 x 4, 20 x 3, 30 x 2, 60 x 1 = 60

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

3. Find the values of the variables and the lengths of the sides of this kite.

Kazeer [188]

Answer:

So, the correct option is A. x = 9, y = 14 , Sides are 11 and 20

Step-by-step explanation:

P.S - the exact question is -

As given in the question ,

Side AB = Side AD

⇒y - 3 = x + 2

⇒y - x = 2 + 3 = 5

⇒y - x = 5 .........(1)

Also, given

Side BC = Side CD

⇒2x + 2 = x + 11

⇒2x - x = 11 - 2

⇒x = 9

∴ equation (1) becomes

y - 9 = 5

⇒y = 5 + 9 = 14

⇒y = 14

∴ we get

x = 9, y = 14

Now,

as given ,

Side AB = y - 3

⇒ AB = 14 - 3 = 11

Side BC = 2x + 2

⇒ BC = 2(9) + 2 = 18 + 2 = 20

Side CD = x + 11

⇒ CD = 9 + 11 = 20

Side DA = x + 2

⇒DA = 9 + 2 = 11

∴ we get

The sides are 11 and 20

So,

The correct option is A. x = 9, y = 14 , Sides are 11 and 20

8 0

2 years ago

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pt

Musya8 [376]

Answer:

ΔMNO= 90°, m = 7.316 cm, n = 16.69 cm

Step-by-step explanation:

The little square in the corner tells you that the angle is 90°

Calculating the length of m

We know that the Tangent of an angle is gotten by dividing the opposite side by the adjacent side, i.e,

Tan Ф = Opposite ÷ Adjacent

hence:

Tan 26° = m ÷ 15

0.4877 = m / 15

make m the subject and multiply both sides by 15

0.4877 × 15 = m / 15 × 15

7.3155 = m

∴ m = 7.316 cm

Calculating the length of n

For this we can use the Pythagoras theorem that states, a² + b² = c² where m = a, b = 15 cm and c = n. Hence:

7.316² + 15² = c ²

53.52 + 225 = c ²

278·52 = c ²

c = √278·52

c = 16.69

∴ n = 16.69 cm

We could also use the Cosine of ΔOMN to get length n i.e,

The Cosine of an angle is equal to the adjacent side divided by the hypotenuse.

Cosine Ф = Adjacent ÷ Hypotenuse

Cosine 26° = 15 cm ÷ n

0.8987 = 15 / n

Make 15 the subject and multiply both sides by n

0.8987 × n = 15 / n × n

0.8987 n = 15

Divide both sides by 0.8987

0.8987 n ÷ 0.8987 = 15 ÷ 0.8987

∴ n = 16.69 cm

Hope this helps!

8 0

2 years ago

-54 - 7r = -5(-2 - 5r)

makkiz [27]

-54-7r=10+25r
-7r-25r=10+54
-32r=64
r=64/-32
r=-2

3 0

3 years ago