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liberstina [14]
3 years ago
9

Put the following into slope intercept form. -5x + 3y = 12

Mathematics
1 answer:
polet [3.4K]3 years ago
5 0

Answer:

y=5/3x+4

Step-by-step explanation:

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Make y the subject in each case.(a)y-5 2x(b) X(c) x 50y
castortr0y [4]
#a. y - 5 = 2x
      Add 5 to both sides to get,
      y - 5 + 5 = 2x + 5
      y = 2x + 5
3 0
4 years ago
Solve for n 6/n-5=2/7.
ra1l [238]

Answer:

42/37

Step-by-step explanation:

42/n - 35 = 2  Multiply everything by 7 to get rid of the fraction

42 - 35n = 2n Multiply everything by n

42 = 37n Move 35n to the right side

42/37 = n Divide by 37  

5 0
4 years ago
How to solve (-2-2i)(-4-3i)(7+8i)
Katarina [22]
Step 1-F.O.I.L.: (-2-2i)(-4-3i)
8+6i+8i+3i^2
We know i^2=-1, so...
8+14i-3
5+14i

Step 2-F.O.I.L. again: (5+14i)(7+8i)
35+40i+98i+112i^2
35+138i-112
-77+138i

Note: "F.O.I.L." stands for "First, Outer, Inner, Last". In other words, distribute the terms of the first binomial to the other, in that order. So, (5+14i)(7+8i) should be done as follows:

5*7=56
5*8i=40i
14i*7=98i
14i*8i=112i^2
8 0
3 years ago
Lines
SashulF [63]

Answer:

5 cm

Step-by-step explanation:

If AB is tangent to the circle k(O), then radius OB is perpendicular to segment AB.

If BC is tangent to the circle k(O), then radius OC is perpendicular to segment AC.

Consider two right triangles ABO and ACO. In these triangles:

  • AO is common hypotenuse;
  • ∠OBA=∠OCA=90°, because AB⊥OB, AC⊥OC;
  • OB=OC as radii of the circle k(O).

By HL theorem, triangles ABO and ACO are congruent. Then

  • ∠OAB=∠OAC=30°;
  • AC=AB=5 cm.

Hence, ∠BAC=∠OAB+∠OAC=30°+30°=60°.

Consider triangle ABC, this triangle is isosceles triangle. In isosceles triangles angles adjacent to the base are congruent, thus

∠CBA=∠BCA=1/2(180°-60°)=60°.

Therefore, triangle ABC is an equilateral triangle, so BC=AB=AC=5 cm.

5 0
3 years ago
9.<br>6. Which of the following decimals is between -3<br>and -4?​
Setler79 [48]

Answer:

You did not provide options but it would be any one of them that starts with -3 and then has a decimal.

7 0
3 years ago
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