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malfutka [58]
2 years ago
7

Will mark brainlist if its right

Mathematics
1 answer:
lakkis [162]2 years ago
7 0

Answer:

No solution

Step-by-step explanation:

-5r + 6 ≤ -5( r+2 )

-5r + 6 ≤ -5r -10

6 ≤ -10

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HELp meh with this question it very hard
Dovator [93]

Answer:

  • AB = 7 cm

Step-by-step explanation:

<u>Use the law of cosines to find the side AB:</u>

  • AB = \sqrt{(x + 3)^2+x^2-2x(x+3)cos (60)} =
  • \sqrt{x^2+6x+9+x^2-x^2-3x}  = \sqrt{x^2+3x+9}

<u>Use the Heron's area formula next:</u>

  • A = \sqrt{s(s - a)(s-b)(s-c)}, where s- semi perimeter
  • s = 1/2[x + x + 3 + \sqrt{x^2+3x+9}) = 1/2 (2x + 3 + \sqrt{x^2+3x+9})
  • s - a = 1/2 (2x + 3 + \sqrt{x^2+3x+9} - 2x - 6) = 1/2 (\sqrt{x^2+3x+9 } - 3)
  • s - b = 1/2 (2x + 3 + \sqrt{x^2+3x+9} - 2x) = 1/2 (\sqrt{x^2+3x+9} + 3)
  • s - c = 1/2 (2x + 3 + \sqrt{x^2+3x+9} - 2\sqrt{x^2+3x+9}) = 1/2 (2x + 3 - \sqrt{x^2+3x+9})

<u>Now</u>

  • (s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)
  • s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)

<u>Next</u>

  • A² = 3/16(x² + 3x)(x² + 3x)
  • 300 = 3/16(x² + 3x)²
  • 1600 = (x² + 3x)²
  • x² + 3x = 40

<u>Substitute this into the first equation:</u>

  • AB = \sqrt{40 + 9} = 7 cm

4 0
3 years ago
Write the direct variation function given that y varies directly with x, and y = 16 when x = 4.
Otrada [13]

Answer:

Very little information is given, leaving room to multiple possible functions, however i would expect it to be y = 4x

Step-by-step explanation:

x * z = y

4 * z = 16

z = 16/4

z = 4

5 0
3 years ago
What is the area of the figure below? The figure shows a parallelogram. the left side equals 5 inches. The bottom side equals 12
Strike441 [17]

Answer:

A = 36 in.²

Step-by-step explanation:

The area of a parallelogram can be determined by the formula:

A = bh

The base length is 12 inches and the height is 3 inches.

A = 12in. * 3in.

A = 36 in.²

5 0
3 years ago
NEED ASAP WILL GIVE BRAINLIEST Write a real world problem that can be represented by the following inequality, 15X - 20 ≤ 130 ,a
ddd [48]

Answer:

I used my name, lol

Step-by-step explanation:

Kat wants to use her money to support animals at a shelter after receiving her pay check from work . She pays $15 per animal, and leaves $20 for the workers. She can spend at most $130. How many animals can she help?

Solve for x

15x-20\leq 130

Add 20 to both sides to isolate x

15x-20+20\leq 130+20\\15x\leq 150

Divide each side by 15

\frac{15x}{15}\leq  \frac{150}{15} \\\\x\leq 10

Kat can help at most 10 animals.

(I am so sorry I took so long, I couldn't come up with anything.)

5 0
3 years ago
Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere
Elenna [48]

Answer:

The  parametrization,  of the given curve is  x = 10 cos(t) \ \ ,z = 10 sin(t)

Step-by-step explanation:

From the question we are given the function

        x^2 + y^2 + z^2 = 125

At  y= 5

       x^2 + 5^2 +z^2 =125

       x^2 + z^2 = 100

       x^2 + z^2 =  10^2

Converting the above  to it polar equation we have  

       x = 10 cos(t) \ \ ,z = 10 sin(t)

     

 

6 0
2 years ago
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