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2 years ago

6

The linel has gradient -2 and passes through the point A(3,5).B is a point on the linel such that the distance AB is 6 root 5. F

ind the coordinates of each of the possible coordinates of B.

1 answer:

marta [7]2 years ago

6 0

Answer:

1-2 by tree yan eh

Step-by-step explanation:

6 root
yan

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<img src="https://tex.z-dn.net/?f=1%20%2B%20%20log_%7B2%7D%28x%20-%202%29%20%20%3D%20%20%20log_%7B2%7Dx" id="TexFormula1" title=

fenix001 [56]

Move all the logarithms on the left hand side, and all the constants on the other:

$\log_2(x-2) - \log_2(x) = -1$

Use the rule of logarithms

$\log_a(b) - \log_a(c) = \log_a\left(\dfrac{b}{c}\right)$

To rewrite the equation as

$\log_2\left(\dfrac{x-2}{x}\right) = -1$

Evaluate 2 to the power of each side:

$\dfrac{x-2}{x} = 2^{-1} = \dfrac{1}{2}$

Multiply both sides by 2x:

$2(x-2) = x \iff 2x-4 = x \iff x = 4$

6 0

3 years ago

Read 2 more answers

Rani scores 4 times as many baskets as Layla. Tash scores 8 baskets less than Rani. They score 100 baskets in total. How many ba

Sever21 [200]

Answer:

Tash scores 40 baskets

Step-by-step explanation:

Rani = R

Layla = L

Tash = T

R = 4L

T = 4L-8

As L + R + T = 100

L + 4L + 4L-8 = 100

Collect like terms

9L - 8 = 100

+ 8 both sides

9L = 108

divide by 9 both sides

L = 108 / 9

L = 12

Now..... T = 4L-8 substitute L with 12

T = 48 - 8

T = 40

8 0

3 years ago

The ratio of the number of hippos to the number of crocodiles at a watering hole is 4:3. If you draw a double number line diagra

devlian [24]

Answer: 26.67

Step-by-step explanation: multiply 20 and 4/3

4 0

2 years ago

A triangle has an area of 36 square units. Its height is 9 units.

Black_prince [1.1K]

Well area of a triangle is
$\frac{1}{2} b \times h$
so,
$36 \times 2 = 72 \\ 72 \div 9 = 8$
The answer is 8

8 0

3 years ago

Read 2 more answers

Simplify the following;<br><br> 8v + w + 7 - 8v + 2w<br> 4c² + 6c - 3c² - 2c - 3<br><br> Thanks!

Dominik [7]

Answer:

3w+7

c^2 + 4c - 3

Step-by-step explanation:

8v+w+7-8v+2w

8v-8v +w+2w +7

0+3w+7

3w+7

4c^2+6c-3c^2-2c-3

4c^2-3c^2 + 6c-2c -3

c^2+4c-3

3 0

3 years ago