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Lisa [10]
4 years ago
12

The line represented by the equation 3x + 5y = 2 has a slope of -3/5. Which shows the graph of this equation?

Mathematics
1 answer:
Daniel [21]4 years ago
4 0
Graph 3 is the answer. Choose a point on the line. Go down by 3. Then go to the right by 5.
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In this in this equation y equals 14 x what is the constant of proportionality
lions [1.4K]

Answer:

We conclude that the value of the constant of proportionality.

  • k = 14

Step-by-step explanation:

We know that if 'y' varies directly with 'x', we use the equation

y ∝ x

y = kx

where 'k' is called the constant of proportionality.

Given the equation

y = 14x

comparing with the equation

y = kx

Thus,

k = 14

Therefore, we conclude that the value of the constant of proportionality.

  • k = 14
6 0
3 years ago
What is the lateral area of a prism which has a lateral edge of 4 inches and has a regular pentagonal base with an edge of 12 in
Nat2105 [25]

Check the picture below.

so the pentagonal prism in the picture is been seen from the bottom, namely so we can see its base, however the base is at the bottom, what does that mean, it means that the pentagonal bases are the top and bottom of the prism, that matters, because the other sides are the lateral sides.

so, if we notice, the lateral sides are really just 5 rectangles, each one a 12x4, so if we simply get the area of all those rectangles.

5(12 * 4) = 240 in².

7 0
3 years ago
A mammoth bone is found to contain roughly 5% of the isotope C-14. Living elephant bones commonly contain about 40% C-14. Given
Elina [12.6K]

Answer:

The mammoth died 17.190 years ago.

Step-by-step explanation:

Given information:

  • Half-life of C-14 is 5.700 years.
  • Living elephant bones commonly contain about 40% C-14.

For every 5700 years, the elephant's bones losses a half-life of C-14. And supposing that the living mammoth bones had the same percentage of C-14.

If the mammoth when living has 40%, then:

  • After 5.730 years, the mammoth bones will contain 20%.  
  • After 11.460 years(2 half-lives), the mammoth bones will contain 10%.
  • After 17.190  years(3 half-lives), the mammoth bones will contain 5%.

6 0
3 years ago
Read 2 more answers
14. Pizza palace offers five sizes personal: (8 inches) small:(10 inches) medium:(12 inches) large:(14 inches) and extra large:(
VladimirAG [237]
<span>To calculate the average; add up all the numbers, then divide by how many numbers there are. In this case, there are 5 numbers; personal, small, medium, large, and extra large.
</span>8 + 10 + 12 + 14 + 16 / 5 --> 60/5 = 12
3 0
3 years ago
Can you help me with these two questions please !!!!
zubka84 [21]

Answer: (x+2)^{2}+(y-4)^{2} =16

and

(x-6)^{2} +(y+4)^{2} =20

Step-by-step explanation:

Equation for a Circle

(x-h)^{2} +(y-k)^{2} =r^{2}

h= -2 k= 4 r= 4

(x+2)^{2}+(y-4)^{2} =16

Part 2

Complete the Square

x^{2} +y^{2} -12x+8y+32=0\\(x^{2}-12x+-)+(y^{2}+8y)=-32\\(x^{2} -12x+36)=(y^{2} +8y+16)=-32+36+16\\\\(x-6)^{2} +(y+4)^{2} =20

6 0
3 years ago
Read 2 more answers
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