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3 years ago

Is (-4, 2) a solution of 4x + 5y < -7?

Mathematics

1 answer:

cupoosta [38]3 years ago

4 0

Answer:

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the inequality, evaluate and compare.

4(- 4) + 5(2) = - 16 + 10 = - 6 > - 7

Thus (- 4, 2 ) is not a solution

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Find the perimeter and area of the figures of 6ft and 8ft?

Svetradugi [14.3K]

The perimeter is 28 and the area is 24

4 0

3 years ago

part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.

andreev551 [17]

Answer: $\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}$

<u>Step-by-Step Explanation:</u>

Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>

$5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18

$6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}$

Note: 8² + 15² = hypotenuse² → hypotenuse = 17

$7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}$

Note: hypotenuse not needed for tan

$8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}$

Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10

8 0

2 years ago

What are three ratios equivalent to 18:4

Blizzard [7]

Equivalent ratio means equal in value

18:4 = 9:2 = 36:8

7 0

3 years ago

Pleaseee I needed the answerrr now

loris [4]

Step-by-step explanation:

Given,

a=3,b=2,c=5

a)a(b+c)

=3(2+5)

=3×7

=21.

B)2ac^2

=2×3×(5)^2

=6×25

=150

5 0

3 years ago

Solve the following compound inequality: 3<-2x-137.

yarga [219]

Answer:

Step-by-step explanation:

Here you go mate

PEDMAS

STEP 1

3<-2x-137 equation

STEP 2

3<-2x-137 simplify by reversing equation

-2x-137>3

STEP 3

-2x-137>3 simplify

-2x>140

step 4

-2x>140 look for a number that can divide the two numbers like 2

-2x /-2 > 140 /-2

1>-70

answer

x>-70

3 0

2 years ago