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3 years ago

Could somebody please help with this?

Mathematics

1 answer:

Ludmilka [50]3 years ago

3 0

the x-intercept is the point where the line touches the x-axis. The x-intercept is (4,0)

the y-intercept is the point where the line touches the y-axis. The y-intercept is (0,-2)

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AB and AC are tangent. Find AB

LuckyWell [14K]

Answer:

$AB = \frac{11}{2}$

Step-by-step explanation:

Given

The above diagram

$AB = 3y + 4$

$AC = 11y$

Required

Determine length AB

Tangents drawn from the same point of a circle are equal;

This implies that

$AB = AC$

Substitute values for AB and AC

$3y + 4 =11y$

Subtract 3y from both sides

$3y - 3y + 4 = 11y - 3y$

$4 = 8y$

Divide both sides by 8

$\frac{4}{8} = \frac{8y}{8}$

$\frac{4}{8} = y$

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

Substitute $\frac{1}{2}$ for y in $AB = 3y + 4$

$AB = 3 * \frac{1}{2} + 4$

$AB = \frac{3}{2} + 4$

$AB = \frac{3 + 8}{2}$

$AB = \frac{11}{2}$

8 0

3 years ago

Help! pppppp pp pp pp p pp p p p

stepladder [879]

Answer:

what do you need help with ?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Hasil ulangan dari 15 siswa diperoleh data sebagai berikut, 8, 6, 5, 7, 8, 5, 7, 8, 7, 9, 8, 6, 9, 8, 7 , median dari data terse

Inessa05 [86]

The median of this is 8.

6 0

3 years ago

Hello I don’t understand question 9 a and b. Please show working out. Thanks

brilliants [131]

A) I would make the positive integer x and then form an equation.

x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6

Since the question asks for a positive integer the answer is 7.

B) two positive numbers x and y.

X - y = 3
x^2 + y^2 = 117

Use these simultaneous equations to figure out each number.

Rearrange the first equation

x = y + 3

Then substitute it into the second equation.

(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)

This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.

Use y to find x

x = y + 3
x = 6 + 3
x = 9

So the answers are x = 9 and y = 6.

3 0

3 years ago

The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

$b = 3 + 2h$