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2 years ago

Please help. thank you so much

Mathematics

1 answer:

Svetach [21]2 years ago

7 0

Answer:

XY = 17

Step-by-step explanation:

Intersect secant theorem, EX * EY = EZ*EW

34 * EY = 25.5 * 68

$EY = \frac{25.5*68}{34}\\\\ = 25.5* 2\\\\ = 51.0 = 51$

EY = 51

EX + XY = 51

34 + XY = 51

XY = 51 - 34 = 17

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Don’t really know what linear functions are

kondaur [170]

Answer:

The rate of change of f(x) is greater than that of g(x)

They have the same y intercept of 14

Step-by-step explanation:

Given

$g(x) = -\frac{1}{2}x + 14$

Table for function f(x)

Required

Compare their rate of change and intercept

For g(x), we have:

$g(x) = -\frac{1}{2}x + 14$

The form of an equation is:

$y = mx + b$

Where

$m = slope$

$b =y\ intercept$

So:

$m = -\frac{1}{4}$

$b = 14$

For f(x): Start by calculating the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{17-16}{6-4}$

$m = \frac{1}{2}$

The intercept is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (-2,13)$

$(x_2,y_2) = (0,y)$ --- we want to solve for y

So:

$\frac{1}{2} = \frac{y - 13}{0 --2}$

$\frac{1}{2} = \frac{y - 13}{2}$

Multiply both sides by 2

$1 =y - 13$

Make y the subject

$y =1 + 13$

$y = 14$

So, we have:

$m = -\frac{1}{4}$ and $b = 14$ -- for g(x)

$m = \frac{1}{2}$ and $y = 14$ --- for f(x)

By comparison:

The rate of change (i.e. slope) of f(x) is greater than that of g(x) because $1/2 > -1/2$

They have the same y intercept of 14

3 0

2 years ago

Need help for number 4 please

Marina CMI [18]

Answer:

Step-by-step explanation:

4) ΔSTW ≅ ΔBFN . So, corresponding parts of congruent triangles are congruent.

a) BN = SW d) m∠W = m∠N

BN = 9 cm m∠W = 82°

b) TW = FN e) m∠B = m∠S

TW = 14 cm m∠B = 67°

c) BF = ST f) m∠B + m∠N + m∠F = 180°

BF = 17 cm 67 + 82 + m∠F = 180

149 + m∠F = 180

m∠F = 180 - 149

m∠F = 31°

5) ΔUVW ≅ ΔTSR

UV = TS

12x - 7 = 53

12x = 53+7

12x = 60

x = 60/12

x = 5

UW =TR

3z +14 = 50

3z = 50 - 14

3z = 36

z = 36/3

z = 12

SR =VW

5y - 33 = 57

5y = 57 + 33

5y = 90

y = 90/5

y = 18

7) ΔPHS ≅ ΔCNF

∠C = ∠P

4z - 32 = 36

4z = 36 + 32

4z = 68

z = 68/4

z = 17

∠H = ∠N

6x - 29 = 115

6x = 115 + 29

6x = 144

x = 144/6

x = 24

∠P + ∠H + ∠S = 180 {Angle sum property of triangle}

36 +115 + ∠S = 180

151 + ∠S = 180

∠S = 180 - 151

∠S = 29°

∠F = ∠S

3y - 1 = 29

3y = 29 + 1

3y = 30

y = 30/3

y = 10

8) ΔDEF ≅ ΔJKL

DE = 18 ; EF = 23

DF = 9x - 23

JL= 7x- 11

DF = JL {Corresponding parts of congruent triangles}

9x - 23 = 7x - 11

9x - 7x - 23 = -11

2x - 23 = -11

2x = -11 + 23

2x = 12

x = 12/2

x = 6

JK = DE {Corresponding parts of congruent triangles}

3y - 21 = 18

3y = 18 + 21

3y = 39

y = 39/3

y = 13

4 0

3 years ago

Shawna and her best friend Keisha go shopping. The function p(t) = 3x +2x-4x2+ 21 represents how much money each girl spent base

NNADVOKAT [17]

Answer:

$\$30$

Step-by-step explanation:

we have

$p(t)=3x+2x-4x^{2}+21$

Find the amount of money that each girl spent

For t= 2 hours

$p(2)=3(2)+2(2)-4(2)^{2}+21$

$p(2)=10-16+21$

$p(2)=\$15$

Find the amount of money that they spend together

Multiply by 2 the amount of money that each girl spent

$(2)\$15=\$30$

3 0

3 years ago

Complete the function table for y=2.5x−8 .

Black_prince [1.1K]

Answer:

x=3.2

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Twice the sum of five and x is eight less than x

Anna007 [38]

We need to express this statement into a equation:

First of all. We will walk through the statement step by step into a mathematical language, so:

1. The sum of five and x:

x + 5

2. Twice the sum of five and x:

2(x + 5)

3. Eight less than x:

(x-8)

Finally the whole statement is:

4. Twice the sum of five and x is eight less than x:

2(x + 5) = (x-8)
2x + 10 = x - 8
x = -18

4 0

3 years ago