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2 years ago

12

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1 answer:

weqwewe [10]2 years ago

8 0

The answer is option B

Hope I didn't mess up for your sake

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If logx27 + logy4 =5<br>and logx27 - logy4 =1<br>find x and y

Elanso [62]

Answer:

Hello,

I have reply too quick in comments (sorry)

Step-by-step explanation:

$\left\{\begin{array}{ccc}log_x (27)+log_y (4)=5\\log_x (27)-log_y (4)=1\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2*log_x (27)=6\\2*log_y (4)=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}log_x (27)=3\\log_y (4)=2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x^{log_x (27)}=x^3\\y^{log_y (4)}=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}27=x^3\\4=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x=3\\y=2\\\end{array}\right.\\\\$

5 0

2 years ago

The line passing through (-2,5) and (2,p) has a gradient of -1/2. <br><br> Fnd the value of p

makkiz [27]

Given:

The line passing through (-2,5) and (2,p) has a gradient of $-\dfrac{1}{2}$ .

To find:

The value of p.

Solution:

If a line passes through two points, then the slope of the line is:

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

The line passing through (-2,5) and (2,p). So, the slope of the line is:

$m=\dfrac{p-5}{2-(-2)}$

$m=\dfrac{p-5}{2+2}$

$m=\dfrac{p-5}{4}$

It is given that the gradient or slope of the line is $-\dfrac{1}{2}$ .

$\dfrac{p-5}{4}=-\dfrac{1}{2}$

On cross multiplication, we get

$2(p-5)=-4(1)$

$2p-10=-4$

$2p=-4+10$

$2p=6$

Divide both sides by 2.

$p=3$

Therefore, the value of p is 3.

4 0

2 years ago

PLEASEE HELPP MEEEEE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Ksju [112]

G(x)= $x^{2}$ +2

7 0

2 years ago

Read 2 more answers

Bir araç 5 saatte 80km yol almaktadır. Buna göre bu aracın hızı kaç m/dk'dır?

8090 [49]

80 km = 80000 m
5 saatte = 300 dk’dir
80000m/300 dk’dir = 266.666667 m/dk’dir
(Yazım yanlışsa kusura bakmayın türkçe bilmiyorum :) )

6 0

2 years ago

Denise used her credit card to buy a pair of new shoes for $120. At the end of the month, she could

ololo11 [35]

Answer:

Step-by-step explanation:

$120= the amount to pay for the shoe

$20 paid for the month

Balance to pay = $100

Then 3% interest rate on credit card = 3% of $100=$3

Therefore amount to pay = $3+$100=$103

7 0

3 years ago