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Kisachek [45]
2 years ago
7

Hi:) I need help with part 9(ii) ? Thanks :)!

Mathematics
2 answers:
Goshia [24]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given

2BD = 7BT , then

2(d - b ) = 7(t - b) ← distribute both sides

2d - 2b = 7t - 7b ( add 7b to both sides )

2d + 5b = 7t, thus

2\left[\begin{array}{ccc}10.5\\10\\\end{array}\right] + 5\left[\begin{array}{ccc}0\\3\\\end{array}\right] = 7t

\left[\begin{array}{ccc}21\\20\\\end{array}\right] + \left[\begin{array}{ccc}0\\15\\\end{array}\right] = 7t

\left[\begin{array}{ccc}21\\35\\\end{array}\right] = 7t , thus

t = \frac{1}{7}\left[\begin{array}{ccc}21\\35\\\end{array}\right] = \left[\begin{array}{ccc}3\\5\\\end{array}\right]

Hence T = (3, 5 )

WARRIOR [948]2 years ago
5 0

Answer:

Please see the attached pictures for the full solution.

We reject x= -3 since x has to be between x=0 and x=10.5 since T lies on line BD.

We reject y= 1 since the y value has to be between 3 and 10 for T to lie on line BD.

<u>U</u><u>s</u><u>e</u><u>f</u><u>u</u><u>l</u><u> </u><u>f</u><u>ormula</u><u>:</u>

gradient=(y1-y2)/(x1-x2)

Further explanation:

1st picture, from line 12 to 13: cross multiply

line 14: expand

line 15: bring 9 over (or +9 on both sides)

line 16: ÷3 throughout

last picture: we have to show '(reject)' because whenever we introduce a square root, there must be a '±' sign.

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A hovercraft takes off from a platform. Its height (in meters), xxx seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h(x)=
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the maximum height is the y-value of the vertex.

h(x) = -2x² + 20x + 48

      <em>  a=-2, b=20, c=48</em>

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      =                98

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Discuss the possible reasons for the differences in price in Leomande. Discuss ways to find unit prices using proportions. The l
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omeli [17]

Problem 18

Answers:

~P -> Q: "if it is not fall, then the leaves change colors"

~P -> ~Q: "if it is not fall, then the leaves don't change colors"

P -> ~Q: "If it is fall, then the leaves don't change colors"

Q -> ~P: "If the leaves change colors, then it is not fall"

----------

Explanation:

Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.

==========================================

Problem 19

Answer: Choice A) 134

----------

Explanation:

AB = CD

8x = 4x+24

8x-4x = 24

4x = 24

x = 6

BC = 18x+26

BC = 18*6+26

BC = 134

==========================================

Problem 20

Answer: Choice C) x = 5 and y = 11

----------

Explanation:

(anglePQR)+(angleRQS) = 90

(12x-2)+(6x+2) = 90

18x = 90

x = 5

angle TQU = 90

10y-20 = 90

10y = 110

y = 11

==========================================

Problem 21

Answer:  99

----------

Explanation:

The remote interior angles add to the exterior angle (remote interior angle theorem)

(angle RPQ) + (angle PQR) = angle PRS

(3x-29) + (7x-42) = 6x-3

10x-71 = 6x-3

10x-6x = -3+71

4x = 68

x = 68/4

x = 17

angle PRS = 6x-3

angle PRS = 6*17-3

angle PRS = 99

==========================================

Problem 22

Answer: 116

----------

Explanation:

Refer to the diagram below.

Solve 105+x = 180 to get x = 75

Solve 135+y = 180 to get y = 45

Solve x+y+z = 180 to get z = 60

Solve z+82+p = 180 to get p = 38

Solve p+78+q = 180 to get q = 64

Solve q+r = 180 to get r = 116

==========================================

Problem 23

Answer: B) between 4 and 44 inches

----------

Explanation:

We use a variation of the triangle inequality theorem here.

If p is the missing side length, then

24-20 < p < 24+20

4 < p < 44

So,

4 < XY < 44

The side XY cannot be 4 inches and it cannot be 44 inches either.

==========================================

Problem 24

4 Answers: A, B, C, D

----------

Explanation:

Same idea as problem 23

24-10 < x < 24+10

14 < x < 34

So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26

In other words, only 12 and 34 are non-answers.

==========================================

Problem 25

Answer: C) 84 degrees

----------

Explanation:

The given exterior angle is 152 degrees

Subtract that from 180 to get the adjacent interior angle 180-152 = 28

Now let's find the missing angle of triangle DEB

D+E+B = 180

28+68+B = 180

96+B = 180

B = 180-96

B = 84

This is the measure of angle DBE

This is also the measure of angle ABC because the two angles are vertical angles.

Vertical angles are always congruent.

4 0
3 years ago
Could someone please help me with this it’s due tonight please
Whitepunk [10]

Answer:

3/4 of the way from A to B = (-\frac{7}{2}, \frac{5}{4}) or (-3.5, 1.25)

Step-by-step explanation:

Please see attached images below for explanation:

7 0
3 years ago
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