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3 years ago

5x^2-4x=6 solve for x

1 answer:

8 0

Let's solve your equation step-by-step.5x(2)−4x=6Step 1: Simplify both sides of the equation.5x(2)−4x=6Simplify: (Show steps)10x+−4x=6(10x+−4x)=6(Combine Like Terms)6x=66x=6Step 2: Divide both sides by 6.‌6x6‌=‌66‌x=1Answer:x=1

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Lena is going to the airport. It is 10: 41 am right now. Lena's flight will depart in 3 hours 43 minutes. What is the departure

NikAS [45]

the departure time is 2:24 pm

8 0

3 years ago

What is the best approximation of the projection of (5,-1) onto (2,6)?

Hatshy [7]

Answer:

Hence, the scalar projection of $\vec a$ onto $\vec b$ = $\frac{\sqrt{10} }{5}$ , and the vector projection of $\vec a$ onto $\vec b$ = $\frac{1}{5} \hat i+\frac{3}{5} \hat j$ .

Step-by-step explanation:

We have given two points $(5, -1)$ and $(2, 6)$ .

Let, $\vec a=5\hat {i}-\hat {j}$ and $\vec b= 2\hat {i}+6\hat{j}$ .

and we have calculate the projection of $\vec a$ onto $\vec b$ .

Now,

For the calculation of projection, first we need to calculate the dot product of $\vec a$ and $\vec b$ .

$\vec a.\vec b=(5\hat {i}-\hat{j}).(2\hat{i}+6\hat{j})$

$=10-6$

$=4$

then, we have to calculate the magnitude of $\vec b$ .

$\mid {\vec {b}}\mid$ = $\sqrt{2^{2}+6^{2} }$ = $\sqrt{40}$ = $2\sqrt{10}$ .

Now, the scalar projection of $\vec a$ onto $\vec b$ = $\frac{\vec a.\vec b}{\mid b\mid}$

= $\frac{4}{2\sqrt{10} }$ $\frac{2}{\sqrt{10} } \times\frac{\sqrt{10} }{\sqrt{10} } =\frac{2\sqrt{10} }{10} = \frac{\sqrt{10} }{5}$

and the vector projection of $\vec a$ onto $\vec b$ = $\frac{\vec a. \vec b}{\mid\vec b \mid^{2} } . \vec b$

= $\frac{4}{40} . (2\hat i+ 6\hat j)$

= $\frac{1}{5} \hat i+\frac{3}{5} \hat j$

Hence, the scalar projection of $\vec a$ onto $\vec b$ = $\frac{\sqrt{10} }{5}$ , and the vector projection of $\vec a$ onto $\vec b$ = $\frac{1}{5} \hat i+\frac{3}{5} \hat j$ .

6 0

4 years ago

Solve the equation for all values of x by completing the square. 3x^2-60x+255=0

erik [133]

Answer:

x=5 and x=15

Step-by-step explanation:

3x^2-60x+225=0

3x^2-60x+225/3=0/3

x^2-20x+75=0

x^2-5x-15x+75=0

x(x-5)-15(x-5)=0

(x-5)(x-15)=0

x-5=0 x-15=0

x=5 x=15

4 0

3 years ago

How do you convert this mixed fraction 8 21/40 into a decimal

Reika [66]

First u must make this mixed fraction to a fraction by multiplying 8 with 40 which equals to 320 then u add 320 with 21 which equals to 341:
341/40, well now this is an improper fraction. So now u will divide 341 by 40 and whatever u get is ur answer.
341÷40=8.525.
HOPE THIS HELPS AND IS NOT CONFUSING!!!!!! IF IT IS THEN COMMENT BELOW AND I WILL EXPLAIN EASIER.

5 0

3 years ago

What equation has the solution of -5 and 7

Sergio [31]

Answer:

x-2x-35

Step-by-step explanation:

-5 and 7

x=-5

x=7

x+5=0

x-7=0

Put them in bracket.

(x+5)(x-7)

Expanding the bracket

x(x-7)+5(x-7)

x-7x+5x-35

x-2x-35

7 0

3 years ago