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2 years ago

11

The vectors <4,2> and <-4,-2> are opposite directions and are orthogonal to the vector u = <2,- 4>. That’s bec

ause the dot product of the vectors equals zero. True False

1 answer:

Naddik [55]2 years ago

5 0

This is true since the dot product is zero

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Pls answer you dont have to show work

Vlada [557]

Answer:

Option C, 6.5

Step-by-step explanation:

<u>Step 1: Substitute y in the equation 3x - 5y = 22</u>

3x - 5y = 22

3x - 5(-5x + 32) = 22

3x + 25x - 160 + 160 = 22 + 160

28x / 28 = 182 / 28

x = 6.5

Answer: Option C, 6.5

8 0

2 years ago

PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST

arsen [322]

First one is denominator, then opposite of denominator.. i would wait for someone else to answer. but i’m pretty sure that’s correct. sorry if it is incorrect.. good luck on the rest of your assessment!!

8 0

1 year ago

Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and t

MAXImum [283]

Answer:

78 pounds

Step-by-step explanation:

Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:

a + b = 130

We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:

5.20a + 4.05b = 586.30

We can now solve the system of equations:

a + b = 130

5.20a + 4.05b = 586.30

Manipulate the first equation by subtracting b from both sides:

a + b = 130

a = 130 - b

Substitute 130 - b for a in the second equation:

5.20a + 4.05b = 586.30

5.20 * (130 - b) + 4.05b = 586.30

676 - 5.20b + 4.05b = 586.30

Move the terms with b to one side:

1.15b = 89.70

b = 78

Thus, Yolanda used 78 pounds of Type B coffee.

<em>~ an aesthetics lover</em>

7 0

2 years ago

Coefficiants of (2x+y)^4

sattari [20]

By the binomial theorem,

$(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k$

where

$\dbinom nk=\dfrac{n!}{k!(n-k)!}$

Then the coefficients of the $x^{4-k}y^k$ terms in the expansion are, in order from $k=0$ to $k=4$ ,

$\dbinom 402^{4-0}=1\cdot2^4=16$

$\dbinom412^{4-1}=4\cdot2^3=32$

$\dbinom422^{4-2}=6\cdot2^2=24$

$\dbinom432^{4-3}=4\cdot2^1=8$

$\dbinom442^{4-4}=1\cdot2^0=1$

3 0

2 years ago

How do you convert fraction to a decimal?

Romashka-Z-Leto [24]

$\huge\text{Hey there!}$

$\large\text{Some people usually convert fractions into decimals by DIVIDING}\\\large\text{the TOP number) by the DENOMINATOR (the BOTTOM number)}.$

$\large\text{Here is an EXAMPLE of what I meant!}$

$\large\text{Fraction: }\mathsf{\dfrac{5}{6}}$

$\large\text{Equation: } \mathsf{5\div6}$

$\large\text{Answer: } \mathsf{0.833333}$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

7 0

2 years ago