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3 years ago

Which equations are equivalent to y=2/3x-4 when written in slope-intercept form? Check all that apply.

Mathematics

2 answers:

Brums [2.3K]3 years ago

5 0

Answer: B and C

Step-by-step explanation: it’s the only reasonable answer give me brainiest pls

Vlada [557]3 years ago

4 0

Answer:

B and C

Step-by-step explanation:

The reason is on the picture.

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Find the line through (3, 1, −2) that intersects and is perpendicular to the line x = −1 + t, y = −2 + t, z = −1 + t. (HINT: If

mel-nik [20]

Answer:

( xo , yo , zo ) = ( 1 , 0 , 1 )

Step-by-step explanation:

Given:-

- A line passing through point (3, 1, −2) intersects and is perpendicular to line with coordinates:

x = −1 + t, y = −2 + t, z = −1 + t .... t = arbitrary parameter.

Find:-

The coordinates for point of intersection.

Solution:-

- The line that passes through point (3, 1, −2) = ( a, b , c ) and an a arbitrary point on the given line have the following direction vector d2 :

d2 = ( x2 , y2 , z2 )

x2 = a - ( x ) = 3 - ( -1 + t ) = 4 - t

y2 = b - ( y ) = 1 - ( -2 + t ) = 3 - t

z2 = c - ( z ) = -2 - ( -1 + t ) = -1 - t

d2 = ( 4 - t , 3 - t , -1 - t )

- The direction vector d1 of the given line is:

d1 = ( x1 , y1 , z1 )

x1 = 1

y1 = 1

z1 = 1

d1 = ( 1 , 1 , 1 )

- The dot product of two orthogonal vectors is always equal to zero:

d1.d2 = 0

( 4 - t , 3 - t , -1 - t ) . ( 1 , 1 , 1 ) = 0

- Solve for parameter (t):

(4 - t) + (3 - t) + (-1 - t) = 0

6 -3t = 0

t = 2

- The coordinates of the point of intersections can be evaluated by substituting the value of "t" into the given equation of line:

xo ( t = 2) = - 1 + 2 = 1

yo ( t = 2) = - 2 + 2 = 0

zo ( t = 2) = - 1 + 2 = 1

- The coordinates are:

( xo , yo , zo ) = ( 1 , 0 , 1 )

8 0

2 years ago

The Census Bureau estimates that in 2020, 15 of the 50 states will have a Spanish-speaking majority. What percent of the states

Vinvika [58]

The answer is: [C]: "30%" .
_____________________________________________________
Explanation:
_____________________________________________________
Note that: "%" ; or "percent" means "out of 100" ; or "divided by 100" .
______________________________________________________
Method 1)

15/50 = ?/ 100 ;

Look at the denominators:

50 * (what value?) = 100 ? ; → "100 ÷ 50 = 2" ;

→ 50 * 2 = 100 ;

So: "15/50 = (15*2)/(50*2) = "30/100" ; which is "30%" .
___________________________________________
Method 2:
___________________________________________
"15/50" = (15÷5) / (50÷5) = 3/10 ;

3/10 = (3*10) / (10*10) = 30/100 ; which is: "30%" .
__________________________________________
Method 3: (slight variation of "Method 2" above):
___________________________________________
"15/50" = (15÷5) / (50÷5) = 3/10 ;

3/10 = 0.3 = 0.30 = (0.30 * 100) % = " 30% " .
___________________________________________

4 0

3 years ago

Morgan is throwing a pizza party. She has 1 7/8 pounds of cheese available and she needs 1/5 pound of cheese to make each pizz

Karolina [17]

We have been given that Morgan is throwing a pizza party. She has 1 7/8 pounds of cheese available and she needs 1/5 pound of cheese to make each pizza. We are asked to find the number of full pizzas that Morgan can make with the amount of cheese she has.

To solve our given problem, we will divide total amount of cheese by amount of cheese used to make each pizza.

$\text{Number of pizzas}=1\frac{7}{8}\div \frac{1}{5}$