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2 years ago

How is each function related to y=x? Graph the function by translating the parent function

1 answer:

4 0

The parent function is: y = x.
1 ) y = x + 2
It is translated vertically 2 units up.
2 ) y = x - 1.2
It is translated vertically 1.2 units down.
The graph is in the attachment.

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PLEASE HELP!! I’ll mark brainliest!! Image of the figure will be attached. 2.5 2.5 and 5 are the numbers! To get brainliest plea

balandron [24]

Answer:

109.375 cm³

Step-by-step explanation:

The volume of the cube is:

V = a³ = 5³ = 125 cm³

The volume of the cut prism:

V = Bh, B- area of the base, h- height

The base is a right triangle with legs of 2.5 each.

The volume is:

V = 1/2*2.5*2.5*5 = 15.625 cm³

Required volume of the solid is the difference of the above volumes:

125 - 15.625 = 109.375 cm³

5 0

2 years ago

Read 2 more answers

Please solve this for me using substitution

Vinvika [58]

<h2> Explanation:</h2>

$\bf \underline{★Given-} \\$

$\textsf{4x + 5y = 8};$

$\textsf{5x + 4y = 12}$

$\bf \underline{★To\: find-} \\$

$\textsf{the value of x and y in equation?}$

$\bf \underline{★Solution-} \\$

$\sf \leadsto 4x + 5y = 8 - - - (i)$

$\sf \leadsto 5x + 4y = 12 - - - (ii)$

By first equation,

$\sf \leadsto 4x + 5y = 8$

$\sf \leadsto 4x = 8 - 5y$

$\sf \leadsto x = \dfrac{8 - 5y}{4}$

$\textsf{Now, we can find the original value of Y.}\\$

$\sf \leadsto 5x + 4y = 12$

$\sf \leadsto 5 \bigg( \dfrac{8 - 5y}{4} \bigg) + 4y = 12$

$\sf \leadsto \dfrac{40 - 25y}{4} + 4y = 12$

$\sf \leadsto \dfrac{40 - 25y + 16y}{4} = 12$

$\sf \leadsto \dfrac{40 - 9y}{4} = 12$

$\sf \leadsto 40 - 9y = 12(4)$

$\sf \leadsto 40 - 9y = 48$

$\sf \leadsto -9y = 48 - 40$

$\sf \leadsto -9y = 8$

$\sf \leadsto y = \dfrac{ -8}{9}$

$\textsf{Now, we can find the original value of X.}\\$

$\sf \leadsto 4x + 5y = 8$

$\sf \leadsto 4x + 5 \bigg( \dfrac{ -8}{9} \bigg) = 8$

$\sf \leadsto 4x - \dfrac{40}{9} = 8$

$\sf \leadsto \dfrac{36x - 40}{9} = 8$

$\sf \leadsto 36x - 40 = 8(9)$

$\sf \leadsto 36x - 40 = 72$

$\sf \leadsto 36x = 72 + 40$

$\sf \leadsto 36x = 112$

$\sf \leadsto x = \dfrac{112}{36}$

$\underline{\textsf{Answer-}}\\$

Therefore, the values of x and y are -8/9 and 112/36 respectively.

6 0

2 years ago

Which of the following would best be solved using factoring the difference of squares? 2² + 3x - 10 = 0 O 3r² + 12x = 8 2³ +52²

IgorC [24]

Given: Different equations

To Determine: Which would be best solved using difference of two squares

Solution

The factorization of a difference of two squares is given below

$a^2-b^2=(a-b)(a+b)$

Let us examine each of the given equation

$\begin{gathered} x^2+3x-10=0 \\ x^2-2x+5x-10=0 \\ x(x-2)+5(x-2)=0 \\ (x-2)(x+5)=0 \end{gathered}$ $\begin{gathered} 3x^2+12x=8 \\ 3x^2+12x-8=0 \end{gathered}$ $\begin{gathered} x^3+5x^2-9x-45=0 \\ x^2(x+5)-9(x+5)=0 \\ (x+5)(x^2-9)=0 \\ x^2-9=x^2-3^2=(x+3)(x-3) \\ Therefore \\ (x+5)(x+3)(x-3)=0 \end{gathered}$ $\begin{gathered} x^2-25=0 \\ x^2-5^2=0 \\ (x+5)(x-5)=0 \end{gathered}$

From the above,

$\begin{gathered} x^3+5x^2-9x-45=0 \\ AND \\ x^2-25=0 \end{gathered}$

The two equation above can be solved by difference of two square, but the equation below is the easiest solved using differnce of two square

x² - 25 = 0

3 0

11 months ago

Find the value of all angles

o-na [289]

Answer:

Step-by-step explanation:

This means that <C and <F are congruent.

So 2x - 15 = x + 15 Add 15 to both sides

2x-15+15=x+15+ 15

2x = x + 30 Subtract x from both sides

2x-x=x-x+30

x = 30

I've taken the bottom 2 angles to be equal. The lettering says they

are

3 0

2 years ago

Help plz ill give some brainlynest plz just help

kirill [66]

Answer:

.95

Step-by-step explanation:

Using pythagorean theroem to calculate the missing side it's 35

35/37 = .94594597

or sin of angle a 71.07536 = .94594597

8 0

2 years ago