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2 years ago

Simplify 6y+5z+8y−3z A}14y + 8z B}14y +2z C}16yz D}11y + 5z

Mathematics

2 answers:

Goryan [66]2 years ago

8 0

I got B. 14y+2z I hope its correct.

olganol [36]2 years ago

6 0

Here you can combine like terms which means all values that end with y go with just values that end with y. Same goes for z in this case.

Put both y's and z's together first before solving:

$6y+5z+8y-3z=(6y+8y)+5z-3z=14y+2z$

Final Answer should be B.

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what is the perimeter of the triangle. i do not know how to start this problem. any help will be greatly appreciated :))

xz_007 [3.2K]

Given:

Point F,G,H are midpoints of the sides of the triangle CDE.

$FG=9,GH=7,CD=24$

To find:

The perimeter of the triangle CDE.

Solution:

According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.

FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get

$\dfrac{1}{2}DE=FG$

$DE=2(FG)$

$DE=2(9)$

$DE=18$

GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get

$\dfrac{1}{2}CE=GH$

$CE=2(GH)$

$CE=2(7)$

$CE=14$

Now, the perimeter of the triangle CDE is:

$Perimeter=CD+DE+CE$

$Perimeter=24+18+14$

$Perimeter=56$

Therefore, the perimeter of the triangle CDE is 56 units.

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3 years ago

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Akimi4 [234]

B involves direct variation.

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Read 2 more answers

May someone please help me out with this problem? May you also explain it?

gavmur [86]

Answer:

Step-by-step explanation:

Given function is,

f(x) = $\sqrt{x}$

If the given function is vertically stretched by a scale factor of $\frac{3}{2}$ Or 1.5,

Transformed function will be,

h(x) = $\frac{3}{2}[f(x)]$

h(x) = $\frac{3}{2}(\sqrt{x})$

Further function 'h' is shifted 1 units upwards,

g(x) = h(x) + 1

g(x) = $\frac{3}{2}(\sqrt{x} )+1$

Domain of the function → x ≥ 0 Or [0, ∞)

Range of the function → y ≥ 1 Or [1, ∞)

Transformations done → Parent function f(x) is vertically stretched by a scale factor of $\frac{3}{2}$ then shifted 1 unit upward.

3 0

3 years ago