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3 years ago

Write the product in standard form (2x + 5) ^2

Mathematics

1 answer:

Iteru [2.4K]3 years ago

4 0

Answer:

4x^2+20x+25

Step-by-step explanation:

(2x+5)^2 = (2x+5) (2x+5)

Using the foil method : 2x(2x) = 4x^2

(2x) (5) = 10x

5 (5) = 25

Combine like terms

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Justify x over 3 minus 7 equals 11

drek231 [11]

Answer:

54/3-7=11

Step-by-step explanation:

x/3<u>-7=11</u>

+7 +7

(3)x/3=18(3)

x=54

Check

54/3-7=11

18-7=11

11=11

4 0

2 years ago

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

Find the simple interest earned

Kitty [74]

Answer:

SI = $1,200 ; A = $6,200

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 5000 × 0.03 × 8 = 1200

I = $ 1,200.00

The simple interest accumulated

on a principal of $ 5,000.00

at a rate of 3% per year

for 8 years is $ 1,200.00.

6 0

2 years ago

Felipe has ridden 48 miles of a bike course. The course is 60 miles long. What percentage did Felipe ridden so far

MatroZZZ [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

What does b equal. 2/3b +19=35

tia_tia [17]

2/3b + 19 = 35

-19 -19

----------------------

2/3b = 16

÷2/3 ÷2/3

----------------------

b = 24

7 0

2 years ago