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3 years ago

Adrian jogs three quarter mile each morning how many days will it take him to jog 3 miles

Mathematics

1 answer:

nikitadnepr [17]3 years ago

4 0

It will take Adrian 4 days to jog 3 miles

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Lol please help. this is an activity but have to turn it in

Katarina [22]

Answer:

15 cans

Step-by-step explanation:

2.4/0.16

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3 years ago

I need to know how to solve it

Paha777 [63]

The equation is already solved

4 0

3 years ago

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Please help me !!!!!! (wrong answers get reported)

Sholpan [36]

its D, I know it is. please don't report me

5 0

3 years ago

The standard form of the equation of a parabola is y= x2 - 6x + 14.

Bas_tet [7]

<h3><u>Option C</u></h3><h3><u>The vertex form of the equation is:</u></h3>

$y = (x - 3)^2 + 5$

<em><u>Solution:</u></em>

<em><u>The vertex form of equation is given as:</u></em>

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

Where, (h, k) is the vertex

Given that,

$y = x^2 - 6x + 14$

We have to find the vertex form of equation

Step 1:

Complete the square for $x^2 - 6x + 14$

$\text{ Use the form } ax^2 + bx + c \text{ to find values of a, b, c }$

a = 1

b = -6

c = 14

Consider the vertex form of a parabola.

$a(x + d)^2 + e ----- eqn 1$

Substitute the values of a and b into following:

$d = \frac{b}{2a}\\\\d = \frac{-6}{2 \times 1}\\\\d = -3$

Find the value of "e" using following formula:

$e = c - \frac{b^2}{4a}\\\\e = 14 - \frac{(-6)^2 }{4 \times 1}\\\\e = 14 - 9\\\\e = 5$

Substitute the values of a, d, e in eqn 1

$y = 1(x -3)^2 + 5\\\\y = (x - 3)^2 + 5$

Thus vertex form form is found. Option C is correct

3 0

3 years ago

2. Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D. Which rule best rep

Virty [35]

Answer:

$(x,y) => (2.5x,2.5y)$

Step-by-step explanation:

Given

See attachment for ABCD and A'B'C'D'

Required

Determine the dilation rule

Using AB and A'B' as points of references;

$AB = (-1,2)\ to\ (2,1)$

$A'B' = (-2.5,5)\ to\ (5,2.5)$

The dilation factor (k) is calculated as:

$k = \frac{A'B'}{AB}$

This gives:

$k = \frac{(-2.5,5)}{(-1,2)} \ or\ k = \frac{(5,2.5)}{(2,1)}$

Factorize

$k = \frac{2.5*(-1,2)}{(-1,2)} \ or\ k = \frac{2.5*(2,1)}{(2,1)}$

$k = 2.5 \ or\ k = 2.5$

Hence, the scale factor is 2.5

The dilation rule is:

$(x,y) => k(x,y)$

$(x,y) => 2.5(x,y)$

$(x,y) => (2.5x,2.5y)$

3 0

3 years ago