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crimeas [40]
3 years ago
13

Translate in an equation but do not solve.sixty-eight is twelve less than x

Mathematics
1 answer:
belka [17]3 years ago
5 0
X = 12 + 68.

If 68 is 12 less than x, then we should add 12 to 68 to get x.
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Find the point on the x-axis that is equidistant from the points (−3,−1) and (1,6)
Klio2033 [76]

well, we'll be using the distance formula twice here.

that point, is on the x-axis, what's the value of "y" at the x-axis?  well y = 0, since it's way down at the 0 level, so the point must be (x , 0).

the distance then from (x,0) to (-3,-1) is the same distance as from (x,0) to 1,6).

\bf \begin{array}{rcllll} \stackrel{\textit{distance from (x,0) to (-3,-1)}}{\sqrt{(-3-x)^2+(-1-0)^2}}&=&\stackrel{\textit{distance from (x,0) to (1,6)}}{\sqrt{(1-x)^2+(6-0)^2}} \\\\\\ (-3-x)^2+(-1-0)^2&=&(1-x)^2+(6-0)^2 \\\\\\ 9+6x+x^2+1&=&1-2x+x^2+36 \\\\\\ x^2+6x+10&=&x^2-2x+37 \end{array} \\\\\\ 6x+10=-2x+37\implies 8x+10=37\implies 8x=27 \\\\\\ x = \cfrac{27}{8}\implies x = 3\frac{3}{8}~\hfill \blacktriangleright \left( 3\frac{3}{8}~,~0 \right) \blacktriangleleft

4 0
4 years ago
50pts help! consider this quadratic equation. 2x^2-1=3x+4 Which equation correctly applies to the quadratic formula?
eduard

Step-by-step explanation:

im not going to go in to detail but the answer is c

7 0
4 years ago
Read 2 more answers
1. The graph of (y + 6)2 = 2(x – 7) is a parabola. Which statement is true?
MakcuM [25]

Answer:

b

Step-by-step explanation:

Because y is squared, or, actually, because (y + 6) is squared, we know immediately that the graph is horizontal.  Because both (y + 6)^2 and (x - 7) are positive, we know that the graph opens to the right.  (b) is correct.

7 0
3 years ago
How do I solve this, please help
Bas_tet [7]

9514 1404 393

Answer:

  • EF = DE = 44
  • FG = DG = 36
  • FH = DF = 31

Step-by-step explanation:

Since EH is the perpendicular bisector of DF, ∆DEF is isosceles and sides DE and EF have the same length.

  DE = EF

  (9x -1) = (7x +9)

  2x = 10 . . . . . . . add 1-7x

  x = 5 . . . . . . . . . divide by 2

__

Similarly, marked sides GD and GF are the same length, so ...

  GD = GF

  (10y -4) = (7y +8)

  3y = 12 . . . . . . . . . . add 4-7y

  y = 4 . . . . . . . . . divide by 3

__

Now, we have what we need to calculate the side lengths.

  EF = 7x+9 = 7·5 +9 = 44

  DE = 9x-1 = 9·4 -1 = 44

  FG = 7y+8 = 7·4 +8 = 36

  DG = 10y-4 = 10·4 -4 = 36

  FH = 3x+4y = 3·5 +4·4 = 31

  DF = FH = 31

6 0
3 years ago
5ABCD is a quadrilateral. AO and BO are the angle bisectors of A
zysi [14]

Answer:

60°

Step-by-step explanation:

sum of interior angles of quadrilateral is 360°

∠C = 70°

∠D = 50°

∠C + ∠D = 120°

∴ ∠A + ∠B = 360° - 120° =240°

AO and BO bisect ∠A and ∠B

∠OAB + ∠OBA = 1/2 x ( ∠A + ∠B) = 120°

∠AOB = 180° - (∠OAB + ∠OBA) = 180° - 120° = 60°

8 0
4 years ago
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