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4 years ago

Which graph represents —3x+ 5y < 15?

Mathematics

2 answers:

Svetllana [295]4 years ago

8 0

The top graph
hope this help

son4ous [18]4 years ago

3 0

Answer:

Graph D

Step-by-step explanation:

if an inequality has a greater or less than sign, the line will be a dotted one.

If the sign is greater or equal to and less or equal to then its a solid one :)

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1. Find the focus of the parabola that has vertex (-7, 2), opens vertically, and passes through the point (-5,0).

luda_lava [24]

Veterx id 7 opens vertically passes fhtought the point

3 0

3 years ago

Which of the following is an irrational number? 5 / 4 √5 / 7 1/ 8 3 / 5

Xelga [282]

Answer: $\sqrt{5} /7$

Step-by-step explanation:

5/4 is not an irrational number because it is already in a fraction the same as 1/8 and 3/5.

The square root of 5 is not rational because it cannot be converted to a fraction or in other words is not a perfect square.

5 0

4 years ago

Read 2 more answers

Cosθ=-√2/3 , where π≤θ≤3π/2 .

Law Incorporation [45]

Answer:

Cosθ= -√2/3

Sinθ= -√7/3

tanβ= 4/3

Sinβ= 4/5

Cosβ= 3/5

sin(θ+β) = sin(θ)cos(β)+cos(θ)sin(β)

(-√7/3)(3/5) + (-√2/3)(4/5)

-√7/5 - 4√2/15

6 0

4 years ago

While painting the side of his house, Jason positioned his ladder so that the top was 16 feet

kenny6666 [7]

Answer: $8.71\ ft$

Step-by-step explanation:

Given

Ladder is 16 ft from bottom and 12 away from the base of the wall

In another case ladder is 18 ft above the ground and let say x ft away from the base of the wall

In both the cases the length of ladder remains the same

Using Pythagoras theorem, we can write

$\Rightarrow 16^2+12^2=L^2\ldots(i)\\\Rightarrow 18^2+x^2=L^2\ldots(ii)\\\text{From (i) and (ii)}\\\Rightarrow 16^2+12^2=18^2+x^2\\\Rightarrow x^2=256+144-324\\\Rightarrow x^2=76\\\Rightarrow x=\sqrt{76}\\\Rightarrow x=8.71\ ft$

7 0

3 years ago

A person standing d=145 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror

Serggg [28]

The length of the mirror is 64.52 cm

Explanation:

Given:

Distance of the person from the mirror = 145cm

Angle of depression = 14°

Angle of elevation = 11°

Vertical dimension of the mirror = ?

For angle of elevation:

$tan(11) = \frac{AB}{BO}\\ \\0.195 = \frac{AB}{145} \\\\AB = 28.275 cm$

For the angle of depression:

$tan(14) = \frac{BC}{BO} \\\\0.25 = \frac{BC}{145} \\\\BC = 36.25 cm$

Total length of the mirror, AC = AB + BC

= 28.275 + 36.25cm

= 64.52 cm

Therefore, the length of the mirror is 64.52 cm

7 0

4 years ago