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3 years ago

What is the value of x?

Mathematics

2 answers:

Natasha_Volkova [10]3 years ago

8 0

45 Degrees, all angles of a triangle add up to 180.

frez [133]3 years ago

3 0

A: It would be 35 degrees. :) E: Since all triangles equal 180 degrees you already have 2/3 of the whole triangle. So you would add them together (Angles D & E) 120+25=145. Now to find x you’re going to have to subtract 180 by 145 and you get 35 degrees.

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a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the

nlexa [21]

Answer:

The standard equation of the parabola is:

$y=-\frac{3}{2}x^2+12x-18$

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

$y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2$

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

$y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}$

Then the equation of the parabola becomes:

$y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18$

7 0

4 years ago

Find two negative consecutive odd integers whose product is 143

Likurg_2 [28]

The answer is -11 and -13

4 0

3 years ago

The roots of a quadratic equation are (1,0) and (-5,0). What is the axis of symmetry?

leva [86]

Answer:

Step-by-step explanation:

The axis of symmetry lies exactly halfway between the given x = 1 and x = -5.

The axis of symmetry is x = -2.

The 'halfway' value is also the 'average' of 1 and -5: -4/2, or -2.

The axis of symmetry is x = -2.

8 0

3 years ago

I’ve done question a. But can you help me on b and c

spin [16.1K]

Answer:

Step-by-step explanation:

b) Diameter of Mercury = 4.88 * 10³ = 4.88 * 1000 = 4880 km

Radius of Mercury = 4880÷ 2 = 2440 km

c) Mass of Jupiter = 1.898 * 10²⁷ = 18.98 * 10²⁶

Mass of Saturn = 5.68 * 10²⁶

Difference = 18.98 * 10²⁶ - 5.68*10²⁶

= (18.98 - 5.68) * 10²⁶

= 13.30 * 10²⁶

= 1.330 * 10²⁷

4 0

3 years ago

Are all congruent rectangles similar?

shusha [124]

All congruent rectangles similar because comparable shapes are not always congruent.

Given that,

We have to find are all congruent rectangles similar.

We know that,

Each side's length and the angles that separate them match those of the other shape's corresponding sides and angles. Comparable shapes are not always congruent, whereas congruent shapes are always similar.

So,

Similar figures are not always congruent, whereas congruent figures are always similar. For similar figures, we simply take into account the shapes, however for congruent triangles, we take into account both the shapes and sizes of the figure.

Therefore, All congruent rectangles similar because comparable shapes are not always congruent.

To learn more about congruent visit: brainly.com/question/26044249

#SPJ4

5 0

1 year ago