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3 years ago

Multiply. 6.421 x 10 = _____ 0.6421 64.21 642.10 6,421

Mathematics

2 answers:

Mrrafil [7]3 years ago

7 0

Answer:

64.21

Step-by-step explanation:

Sonbull [250]3 years ago

3 0

Answer:

Brainliest!!!

Step-by-step explanation:

see picture

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The degree of this polynomial is 4!!!

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How do you divide 50 by 60 and get 85

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What are three equivalents for 3/5

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Plot the vertex, focus, and directrix for the parabola represented by this equation. X=-1/12(y-2)^2+1

alukav5142 [94]

The vertex of the parabola is (1, 2), focus of the parabola is (-2, 2), and directrix x = 4.

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a parabola equation:

$\rm x = -\dfrac{1}{12}(y-2)^2+1$

The standard form of the parabola:

$\rm x = \dfrac{1}{4(f-h)}(y-k)^2+h$

(h, k) is the vertex of the parabola and (f, k) is the focus.

$\rm x = \dfrac{1}{4(-2-1)}(y-2)^2+1$

h = 1, k =2, and f = -2

The directrix is x = 4

Thus, the vertex of the parabola is (1, 2), focus (-2, 2), and directrix x = 4.

Learn more about the parabola here:

brainly.com/question/8708520

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2 years ago

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.

Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

AC = 2 x XY
CB = 2 x YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x XY

CB = 2 x YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A - given

Then ∠X and ∠Z are said to becomplementary angles

Since m∠Z = 90° - m∠X -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5 seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

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2 years ago