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ohaa [14]
2 years ago
13

X2 - 5x + 4 What is equivalent to this expression?

Mathematics
2 answers:
drek231 [11]2 years ago
6 0

Answer

(x-1) (x-4)

Step-by-step explanation:

I did this not long ago in class so that's the answer

nadya68 [22]2 years ago
5 0

If you want to factor, then you need to find two numbers that multiply to 4 and add to -5. Those two numbers are -4 and -1

-4 times -1 = 4

-4 plus -1 = -5

This means x^2-5x+4 factors to (x-4)(x-1). The order of the factors does not matter, as we can multiply in any order, so it is equivalent to (x-1)(x-4)

You can use the FOIL rule or the box method to expand out (x-4)(x-1) to get x^2-4x-1x+4 = x^2-5x+4 again. This confirms we have the proper factorization.

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compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.
Nina [5.8K]

\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})

We have been given two vectors $\vec{a}$ and $\vec{b}$, we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of$\vec{b}$onto $\vec{a}$means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

#SPJ4

3 0
1 year ago
Write the equation in slope-intercept form show all your work<br> 3x + 7 = 9
jeka57 [31]
3x=2
x= 2/3

slope is undefined. there is no y intercept
3 0
3 years ago
What is the value of x in the equation 4 and StartFraction 3 Over 10 EndFraction minus (2 and two-fifths x + 5 and one-half) = o
musickatia [10]

Answer:

5

Step-by-step explanation:

Edge i think dont quote me on this plz

3 0
3 years ago
At what value of x does the graph of the function f(x) have a vertical asymptote?
choli [55]
It will have a vertical asymptote when the denominator approaches zero.

2x-6=0

2x=6

x=3

So the vertical asymptote is the vertical line x=3
3 0
3 years ago
A Girl have 15 apples but she gave her friend 5 apples and ate 1 how many apples are left and show your work
Anestetic [448]

Answer:

She has 9 left

Step-by-step explanation:

15 - 6 = 9

Hope this helps! Brainliest would be appreciated!

5 0
3 years ago
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