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3 years ago

Solve the system x-y=5 and 4x-5y+17

Mathematics

1 answer:

Goshia [24]3 years ago

8 0

Answer:

Step-by-step explanation:

x = 3

7=2

3-2=5

slope is 4/5

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A hot bowl of soup cools according to Newtons law of cooling. Its temperature (in degrees Fahrenheit) at time t is given by T(t)

nata0808 [166]

212°F
147°F
23.2 min

1) Initial temperature for t=0
T(0)=68+144e^(0)=68+144=212°F
2) After 15 min
T(15)=68+144e^(-0.04*15)=68+144e^(-0.6)=147°F
3) 125°F -> t=?
125=68+144e^(-0.04t)
144e^(-0.04t)=125-68=57
e^(-0.04t)=57/144=0.4 you can apply ln on both sides:
-0.04t=ln(0.4) solving you get t=23.3 min

4 0

3 years ago

Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo

nlexa [21]

Given:

Equation of line $7x-4y=-12$ .

To find:

The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

$7x-4y+12=0$

Slope of line is

$\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{7}{(-4)}$

$m_1=\dfrac{7}{4}$

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

$m_1m_2=-1$

$m_2=-\dfrac{1}{m_1}$

$m_2=-\dfrac{4}{7}$ $[\because m_1=\dfrac{7}{4}]$

Now, the slope of perpendicular line is $m_2=\dfrac{4}{7}$ and it goes through (-21,2). So, the equation of line is

$y-y_1=m_2(x-x_1)$

$y-2=-\dfrac{4}{7}(x-(-21))$

$y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)$

$y-2=-\dfrac{4}{7}x-12$

$y=-\dfrac{4}{7}x-12+2$

$y=-\dfrac{4}{7}x-10$

Therefore, the required equation in slope intercept form is $y=-\dfrac{4}{7}x-10$ .

7 0

3 years ago

Please try and answer this ASAP ! Which point lies on the circle represented by the equation (x − 3)2 + (y + 4)2 = 62?

Alex787 [66]

Answer:

(3,-4)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

3. Three soccer players are scored 25 goals this season.

Varvara68 [4.7K]

The mean goals scored by the soccer players this season is 18.3 goals

Mean is the ratio of the sum of data to the total sample of data.

If three soccer players are scored 25 goals this season., five soccer players scored 19 goals this season and ten soccer players scored 16 goals this season, the mean goal scored is expressed as:

Mean goal scored = 3(25)+5(19)+10(16)/3+5+10

Mean goal scored = 75 + 95+160/18

Mean goal scored = 330/18

Mean goal scored = 18.3 goals

Hence the mean goals scored by the soccer players this season is 18.3 goals

Learn more on mean here: brainly.com/question/20118982

3 0

3 years ago

X-y=0 and 5x-2y=6 solve by elimination

Elena-2011 [213]

Answer:

(2,2)

Step-by-step explanation:

first take x-y=0 and multiply it by -5 you will then get this

-5x+5y=0

5x-2y=6

add those together

3y=6

divide by 3

y=2

now plug 2 in for y

x-2=0

add 2 to both sides

x=2

6 0

3 years ago