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Ilia_Sergeevich [38]
3 years ago
15

HEEEELP PLEASE I dont understand

Mathematics
2 answers:
lesya [120]3 years ago
7 0

Answer:

<h2>y = 0.5x</h2>

Step-by-step explanation:

\dfrac{y}{x}=a\to y=ax\\\\\text{We have}\ x=1,\ y=0.5.\\\\\text{Substitute:}\\\\a=\dfrac{0.5}{1}=0.5\\\\\text{Therefore}\ y=0.5x

Andre45 [30]3 years ago
3 0

Answer:

y = 0.5x

Step-by-step explanation:

x = 1; y = 0.5; 0,5 is \frac{1}{2} of 1

1 * 0.5 would equal 0.5

So, y = 0.5x

Hope this helps :)

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Consider that the length of rectangle A is 10 cm and its width is 6 cm. Which rectangle is similar to rectangle A? A) A rectangl
HACTEHA [7]
ANSWER

B) A rectangle with a length of 15 cm and a width of 9 cm.

EXPLANATION

The given rectangle, A, has length, 10cm and its width is 6cm.

The rectangle that is similar to rectangle A, has the corresponding sides in the same proportion.

For option A, the triangle has length 9cm and width 6cm.

The ratio of the corresponding sides are:

\frac{10}{9} \ne \frac{6}{6}

Since the ratios are not equal, the two triangles are not similar.

For the triangle in option B, the length is 15cm and the width is 9cm.

The ratio of the corresponding sides are:

\frac{10}{15} = \frac{6}{9} = \frac{2}{3}

Since the sides of the triangle are in the same proportion, the two triangles are similar.

For option C, the proportions are not the same.

\frac{10}{14} \ne \frac{6}{7}

The proportions are not the same for the triangle in option D.

\frac{10}{12} \ne \frac{6}{8}
8 0
3 years ago
What are the solutions to the quadratic equation x^2 + 8x - 8 = 0?
Elanso [62]

Answer:

x=−4+2√6 or x=−4−2√6

E is the answer

4 0
2 years ago
Write the standard form of the equation for the circle that passes through the points (2,31),(-15,14),(33,0)
stepladder [879]

Answer:

Step-by-step explanation:

Begin with the standard form of a circle as a conic:

Ax^2+Bxy+Cy^2+Dx+Ey+F=0

For a circle, A and C will be the exact same, and B will equal 0.  If B is non-zero, the equation represents a rotation of a conic, which is reserved for college-level courses.  Shortening this, then:

x^2+y^2+Dx+Ey+F=0 is good enough for us for this.  Start with the first point on the circle, (2, 31) and fill in the equation above with x and y:

2^2+31^2+2D+31E+F=0 which simplifies down to:

(1):2D+31E+F=-965

Do the same with the next point on the circle, (-15, 14):

-15^2+14^2-15D+14E+F=0 which simplifies down to:

(2):-15D+14E+F=0

Do the same with the last point, (33, 0):

33^2+0^2+33D+0E+F=0 which simplifies down to:

(3):33D+F=-1089

Now we will add (1) and (2) to get (4):

 2D + 31E + F = -965

-15D + 14E + F = -421

Multiply the top equatio by -1 to get rid of the F terms:

 -2D - 31E - F = 965

-15D + 14E + F = -421

which simplifies to

(4): -17D - 17E = 544

Now add (2) and (3) to get (5):

-15D + 14E + F = -421

33D           + F = -1089

Multiply the bottom equation by -1 to get rid of the F terms:

-15D + 14E + F = -421

-33D          - F = 1089

which simplifies to

(5): -48D + 14E = 668

Now add (4) and (5) together and eliminate the E terms:

-17D - 17E = 544

-48D + 14E = 668

In order to eliminate the E terms, multiply the top equation by 14 and the bottom equation by 17 to solve for D:

-238D - 238E = 7616

-816D + 238E = 11356

Which gives you that

D = -18

Now plug the value for D into (4) to find E:

-17(-18) - 17E = 544 and

306 - 17E = 544 and

-17E = 238 so

E = -14

Now plug the values for both D and E into (1) to find F:

2(-18) + 31(-14) + F = -965 and

-36 - 434 + F = -965 and

-470 + F = -965 so

F = -495

Now we can fill in the standard form of the conic:

x^2+y^2-18x-14y=495

but we're not done til we complete the square on both the x terms and the y terms (and I am assuming you know how to complete the square):

(x^2-18x+81)+(y^2-14y+49)=495+81+49 which simplifies to

(x-9)^2+(y-7)^2=625

The second choice down matches that equation, but the center they have there is not correct.  The center of that circle is (9, 7) and they have it as being (7, 10) with a radius of 5.  The radius is 25.  The center is wrong in the equation that represents the circle as is the radius.  Maybe let someone know that...

4 0
3 years ago
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Simplify the expression:<br> -10(32-6)<br> —————<br> 3
skelet666 [1.2K]

Answer: -260

Step-by-step explanation:

5 0
3 years ago
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What is the reciprocal of 1 2/3?
kiruha [24]
1 2/3 is the same as 5/3, so the reciprocal is 3/5
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3 years ago
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