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3 years ago

please help 100 points!!! will give crown to best answer if f(x) = 3x^2 -2x + 4 and g (x) = 5x ^2 + 6x -8 find (f-g) (x)

2 answers:

8 0

(f-g)(x) will be 3x^2 -2x+4 -(5x^2+6×-8)
distribute the -sign, gives us
3x^2-2x+4-5x^2-6x+8,
now combine like terms and should get,
-2x^2-8x+12,
final answer,
(f-g)(x)= -2x^2-8x+1×,
hope it helped,
good luck

koban [17]3 years ago

5 0

F(x) - g(x). We will subtract the terms and negate everything on the g(x) side as it is subtraction. We get 3x^2 - 2x +4 -5x^2 -6x +8 which equals -2x^2 +6x +12

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Papessa [141]

Answer: LP=15

Step-by-step explanation:

Ok triangle ΔNPL is congruent to ΔNML because they share side LN so side LN = LN

Angle LNP and LNM are right angles so they are congruent.

Sides PN and MN are marked congruent.

With that information we can use SAS to say those triangles are congruent.

This means that side LP=LM

so 10x-5=7x+1

Now we solve

$10x-5=7x+1\\10x-5+5=7x+1+5\\10x=7x+6\\10x-7x=7x-7x+6\\3x=6\\\frac{3x}{3} =\frac{6}{3} \\x=2$

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2 years ago

If RT bisects SU, find each measure ST, RU, SV, SU,

FinnZ [79.3K]

Answer:

ST = 23

RU = 8

SV = 5

SV = 10

Step-by-step explanation:

Use the knowledge of the properties of a kite to find the measure of ST, RU, SV, and SU as shown below:

✍️Recall: Each pair of adjacent sides of a kite are congruent/equal.

ST and TU are a pair of adjacent sides.

TU = 23

✅Therefore, ST = 23.

RU and RS are a pair of adjacent sides.

RS = 8

✅Therefore, RU = 8.

✍️ Recall: the longer diagonal of a kite bisects the shorter one. This means RT divides SU into two equal parts, namely SV and UV.

Since UV = 5, therefore,

✅SV = 5

SU = UV + SV

✅SV = 5 + 5 = 10

6 0

3 years ago

A cone with diameter 18 millimeters and height 11 millimeters.

bogdanovich [222]

Hello! :)

<h2>Answer:</h2>

All of the following statements about the cone are true.

2.) The radius is 9 mm.

3.) The base area is calculated using the radius.

4.) The volume is one-third the volume of a cylinder with the same height and diameter.

5.) The volume of the cone is 297 pi millimeters cubed.

<h2>Explanation:</h2>

The radius is always half the diameter, which is why the first choice is false, and the second choice is true.

When calculating the base, you need to use the radius. This means the third choice is true. The formula for the base area is π $r^{2}$

Volume of the cone:

V = $\frac{1}{3}$ π $r^{2}$ h

= $\frac{1}{3}$ × π × $9^{2}$ × 11

= 933.052233 mm²

Volume of a cylinder with the same height and diameter:

V = π $r^{2}$ h

= π × 81 × 11

= 891π

= 2799.15669 mm²

2799.15669 ÷ 3 = 933.052233

Option four is true.

297 × π = 933.05223 This is true.

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3 years ago

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2 years ago

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The length of the floor is 32 m longed than it’s witdth and there is greater than 200 square meters. You will cover the floor co

Vilka [71]

Answer:

Step-by-step explanation:

The area of the floor A = Length * Width

Given

A = 200 square meters

If the length of the floor is 32 m longed than it’s width then;

L = 32+W

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200 = (32+W)W

200 = 32W + W²

W²+32W-200 = 0

W = -32±√32²+800/2

W = -32±42.71/2

W = -32+42.71/2

W = 10.71/2

W = 5.35 m

L = 32+5.35

L = 37.35m

Hence the dimension is 5.35ft by 37.35m

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