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3 years ago

Short Response 6. Are the triangles at the right simílar? Explain.

Mathematics

1 answer:

Taya2010 [7]3 years ago

5 0

Answer:

Yes they are similar because they are both right angles but the one on the right is bigger than the one on the left.

Step-by-step explanation:

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A ball is thrown into the air with a velocity of 33 ft/s. Its height, in feet, after t seconds is given by

meriva

Answer:

velocity at t=1 is 1 ft/s

Step-by-step explanation:

by integration s(t) equation we get v(t)

v(t)=33-32t

by substitution t=1 in v(t) equation we get

33-32=1 ft/s

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2 years ago

Jim drove 605 miles in 11 hours. At the same rate, how many miles would he drive in 13 hours?

svlad2 [7]

Answer: 715 Miles

Step-by-step explanation:

Divide 605 miles by 11 hours, which would give you how far he travels in 1 hour. (605/11=55) Since they give you 13 hours, multiply 13 hours by 55 miles which gets you 715 miles :)

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3 years ago

Which diagram represents a correct construction of equilateral triangle ABC, given side AB?

Tju [1.3M]

Answer:

Step-by-step explanation:

It would be A, because EQUAL lateral is all sides are equal

3 0

3 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

Each month, a shopkeeper spends 5x+11 dollars on rent and electricity. if he spends 2x-3 dollars on rent, how muck dose he spend

timofeeve [1]

Rent and electricity = 5x + 11
rent = 2x - 3

electricity = (5x + 11) - (2x - 3)
electricity = 5x + 11 - 2x + 3
electricity = 3x + 14

---------------------------------
Answer: 3x + 11
---------------------------------

5 0

3 years ago