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3 years ago

3x+4y=25 3x-3y=-3 Following system of equations write answer as an ordered pair

1 answer:

5 0

$3x+4y=25\\
3x-3y=-3|\cdot(-1)\\\\
3x+4y=25\\
\underline{-3x+3y=3}\\
7y=28\\
y=4\\\\
3x-3\cdot4=-3\\
3x-12=-3\\
3x=9\\
x=3\\\\
\boxed{(x,y)=(3,4)}
$

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DanielleElmas [232]

Step-by-step explanation:

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3 years ago

find the component equation of the plane which is normal to the vector -2i+5j+k and which contains the point (-10;7;5).

maksim [4K]

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).

To find:

The component equation of the plane.

Solution:

The equation of plane is

$a(x-x_0)+b(y-y_0)+c(z-z_0)=0$

Where, $(x_0,y_0,z_0)$ is the point on the plane and $\left< a,b,c\right>$ is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

$-2(x-(-10))+5(y-7)+1(z-5)=0$

$-2(x+10)+5y-35+z-5=0$

$-2x-20+5y-35+z-5=0$

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3 years ago

a class has 60 students.Given that 85% passed a science test. Find the number of students who failed and then convert o %

Vanyuwa [196]

Given:

Total students = 60

Student passed = 85%

To find:

The number of students who failed and then convert it in %.

Solution:

We have,

Number of passed student = 85% of Total students

= $\dfrac{85}{100}\times 60$

= $51$

So, number of passes students is 51.

Number of students who failed = Total students - Passes students

= $60-51$

= $9$

So, number of students who failed is 9.

$\text{Fail}\%=\dfrac{\text{Failed students}}{\text{Total students}}\times 100$

$\text{Fail}\%=\dfrac{9}{60}\times 100$

$\text{Fail}\%=15$

Therefore, 15% students fail in the test.

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3 years ago

Factor the trinomial:<br><br> 2x^2+13x+21

tankabanditka [31]

Answer:

$(2x + 7) \times (x + 3)$

Step-by-step explanation:

${2x}^{2} + 13x + 21$

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$x \times (2x + 7) + 3(2x + 7)$

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3 years ago