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defon
3 years ago
8

Graph 3x + 4y = 12. y

Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

  see below

Step-by-step explanation:

To find the x- and y-intercepts, set each of the variables to zero and solve for the other:

  y-intercept: 0 +4y = 12   ⇒   y = 12/4 = 3

  x-intercept: 3x +0 = 12   ⇒   x = 12/3 = 4

Plot these points (0, 3) and (4, 0), and draw a straight line through them.

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If it’s 3 3/8 you multiply the denominator by the coefficient and add the numerator and then keep the same denominator so it would be 27/8

8 0
3 years ago
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t
Alenkinab [10]

Answer:

The triangle's perimeter is 61.77 inches.

Step-by-step explanation:

Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:

Isosceles triangle = 2 equal sides

To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.

(9/2) ^ 2 + 26 ^ 2 = X ^ 2

4.5 ^ 2 + 26 ^ 2 = X ^ 2

20.25 + 676 = X ^ 2

√ (20.25 + 676) = X

√696.25 = X

26.38 = X

26.3865 x 2 + 9 = X

52.77 + 9 = X

61.77 = X

Therefore, the triangle's perimeter is 61.77 inches.

5 0
3 years ago
If your dog is 32.54 pounds about how many pounds is it to the nearest whole pound
Karolina [17]
It is near 33 pounds
7 0
3 years ago
Identify the equation of the circle D with center D(−8,−1) and radius 3.
REY [17]

Answer:

(h+8)^2 + ( y +1)^2 = 9

Step-by-step explanation:

The equation of a circle can be written as

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

where (h,k) is the center and r is the radius

(h- -8)^2 + ( y - -1)^2 = 3^2

(h+8)^2 + ( y +1)^2 = 3^2

(h+8)^2 + ( y +1)^2 = 9

8 0
3 years ago
Read 2 more answers
Mr Thompson please help with my new HW
sesenic [268]

Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

========================================================

Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
  5. Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
3 0
3 years ago
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