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3 years ago

Graph the linear inequality. y<2

Mathematics

1 answer:

Leya [2.2K]3 years ago

7 0

Answer:

See attachment.

Step-by-step explanation:

We want to graph the linear inequality y<2

We first of all graph the corresponding linear equation y=2 with a dashed line because all points on this line do not satisfy the inequality.

We then shade below the line y=2, to show that all points below the boundary line are solution to the inequality y<2

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How to do this question plz answer me step by step plzz plz

aliya0001 [1]

Answer:

adult cost £7, child cost £2

Step-by-step explanation:

let a represent an adult and c a child , then

2a + 3c = 20 → (1)

a + 4c = 15 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate a

- 2a - 8c = - 30 → (3)

Add (1) and (3) term by term to eliminate a, that is

- 5c = - 10 ( divide both sides by - 5 )

c = 2

Substitute c = 2 into either of the 2 equations and evaluate for a

Substituting into (2)

a + 4(2) = 15

a + 8 = 15 ( subtract 8 from both sides )

a = 7

The cost of an adult ticket is £7 and a child ticket is £2

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3 years ago

A manufacturer wants to double the volume of a 3 in.×2 in.×6 in. 3 i n . × 2 i n . × 6 i n . box, while using as little extra ca

viktelen [127]

Answer: 2 inch dimension will give smallest increase.

Step-by-step explanation:

Length = 3 in

width = 2 in

height = 6 in

Extra cardboard means to find surface area

on doubling the length

length = 6 In

width = 2 In

Height = 6In

Surface area for the above dimensions = 2 [ 6x2+2x6+6x6] = 120 sq in

On doubling the width

length = 3 in

width = 4 in

Height = 6 inch

Surface area for the above dimensions= 2 [ 3x4+4x6+6x3] = 2[54] = 108 sq inches

On doubling height

Length =3 in

width = 2 in

Height = 12 in

Surface area for above dimensions = 2 [ 3x2+2x12+12x3] = 2[6+24+36] = 132 sq inch

On doubling width surface area is minimum.

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3 years ago

(07.01) A spinner and two cards are shown below. (Yellow, Red, Orange are in a spinner. Purple, Green are the two cards beside i

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Answer:

i think its the last one

Step-by-step explanation:

8 0

2 years ago

Standing 140 feet from the base of a tree, Alejandro uses his clinometer to site the top of the tree. The reading on his clinome

Advocard [28]

Answer:

132 feet

Step-by-step explanation:

Given that Alejandro is standing at a distance of 140 feet from the base of the tree and his eyes are 6 feet above the ground.

Let AB is the height of the tree and point E is the location of his eyes which is 6 feet above from C on the ground as shown in the figure.

The distance between points A and C, AC=140 feet.

Drawing a horizontal line from point E which meets AB at point D as shown.

As ACED forms a rectangle, so

AC=DE=140 feet ...(i)

CE=AD= 6 feet ...(ii)

The height of the tree, AB=AD+DB

By using equation (ii), AB=6+DB ...(iii)

Now, given that the on watching the top of the tree, the reading on the clinometer is 42 degrees.

So, $\angle DEB = 42^{\circ}$

In triangle DEB,

$\tan 42^{\circ} = \frac {DB}{DE} \\\\\Rightarrow DB = DE \times \tan 42^{\circ} \\\\$

$\Rightarrow DB = 140 \times \tan 42^{\circ}$ [from (i)]

$\Rightarrow DB = 126$ feet

From equation (iii) the height of the tree is

AB=6+126=132 feet.

Hence, the height of the tree is 132 feet.

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2 years ago

Write an equation to represent the measure of the angles

eimsori [14]

Answer:

x+22 = 90

Step-by-step explanation:

The two angles are complementary, which means they add up to 90 degrees

x+22 = 90

6 0

3 years ago