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3 years ago

Please help me with the question below.

Mathematics

2 answers:

DaniilM [7]3 years ago

7 0

Answer:

Alicia is correct

Step-by-step explanation:

The triangles are similar, then ratios of corresponding sides are equal, that is

left triangle to right triangle gives

$\frac{r}{k}$ = $\frac{s}{m}$

Thus Alicia is correct. Jason has the incorrect sides on the second ratio

Tamiku [17]3 years ago

7 0

Answer: alicia is correct!

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$\large \mathfrak{Solution : }$

let's solve for x :

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I hope it helped...

7 0

3 years ago

Read 2 more answers

You ate three of the eight pizza slices. You paid $9.45 as your share of the cost of the pizza. Write a one step equation to fin

Tema [17]

Answer:

Step-by-step explanation:

you ate 3

you paid $9.45 for the 3

to find the cost of the whole pizza you need to know how much each slice costs so

9.45 / 3 = $3.15 a slice

so each slice is $3.15 and there are 8 slices and you need to know how much they cost altogether so

3.15 * 8 = $25.20

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3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu. A parabola is given by the equation y = x2 − 2x − 3. The directrix of the pa

choli [55]

Answer:

Part 1) The directrix of the parabola is y=-4.25

Part 2) The focus of the parabola is F(1,-3.75)

Step-by-step explanation:

we have

$y=x^{2}-2x-3$

This is a vertical parabola open upward

we know that

If a parabola has a vertical axis, the standard form of the equation of the parabola is

$(x - h)^{2}=4p(y - k)$

where

p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

The axis is the line x = h.

step 1

Convert the equation of the parabola in standard form

$y=x^{2}-2x-3$

$y+3=x^{2}-2x$

$y+3+1=x^{2}-2x+1$

$y+4=x^{2}-2x+1$

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

$(x-1)^{2}=(y+4)$ ----> equation in standard form

The vertex is the point (1,-4)

4p=1 ------> p=1/4

step 2

Find the directrix of the parabola

The directrix is the line y = k - p

we have

k=-4

p=1/4

substitute the values

y = k - p

y=-4-(1/4)=-17/4

y=-4.25

step 3

Find the focus of the parabola

we know that

The focus is at (h, k + p).

we have

h=1

k=-4

p=1/4

substitute

F(1,-4+1/4)

F(1,-3.75)

4 0

3 years ago