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2 years ago

Write an equation of a line with the given slope and y-intercept

Mathematics

1 answer:

Verizon [17]2 years ago

8 0

Y=mx+b
m=slope
b=yint

given
m=2
b=4/5
easy

y=2x+4/5

A

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HELP ASAP!! Identify the matrix transformation of ΔPQR, which has coordinates P(−5, −2),Q(−6, −3), and R(−2, −3), for reflection

podryga [215]

Answer:

Matrix transformation = $\left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]$

Vertices of the new image: P'= (5,-2), Q'= (6,-3), R'= (2,-3)

Step-by-step explanation:

Transformation by reflection will produce a new congruent object in different coordinate. Reflection to y-axis made by multiplying the x coordinate with -1 and keep the y coordinate unchanged. The matrix transformation for reflection across y-axis should be: $\left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]$ .

To find the coordinate of the vertices after transformation, you have to multiply the vertices with the matrix. The calculation of the each vertice will be:

P'= $\left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]$ $\left[\begin{array}{ccc}-5\\-2\end{array}\right]$ = (5,-2)

Q'= $\left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]$ $\left[\begin{array}{ccc}-6\\-3\end{array}\right]$ = (6,-3)

R'= $\left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]$ $\left[\begin{array}{ccc}-2\\-3\end{array}\right]$ = (2,-3)

3 0

2 years ago

SOLVE FOR J. j+11.98≥-7.02 (that is not a subtraction sign its a negative sign!!)

LiRa [457]

J>-19

Hope that helps

7 0

2 years ago

There are 5 water birds swimming in a pond. If there are 3 ducks and 2 geese at the pond, what fraction of the birds are geese?

Ivan

Answer:

fraction of geese = 2/5

Step-by-step explanation:

To find the fraction of geese, take the number of geese over the total number of birds

fraction of geese = 2/5

6 0

2 years ago

Which choice shows 8 less than f? A.8-f B.8/f C.f-8 D.8f

amid [387]

Answer: C

Step-by-step explanation: c is the correct answer. A is incorrect, because 8 is subtracting t, so it is a higher value. B is incorrect because it’s 8/f so 8 is greater. (If it was f/8 then 8 would be less). C is correct because 8 is being taken away from f, not the other way around. And lastly, d is incorrect bc there’s no way to tell which is greater/less. Hope this helped ;)

6 0

2 years ago

What is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3

andrew-mc [135]

Solve 4x − 3y = 3 and 5x − 4y = 3

Step 1: Solve for x in 4x-3y=3:
4x-3y=3
4x-3y+3y=3+3y [Add 3y to both sides]
4x=3y+3
 $\frac{4x}{4} = \frac{3x+3}{4}$ [Divide both sides by 4]
x= $\frac{3}{4}y+ \frac{3}{4}$

Step 2: Substitute $\frac{3}{4}y+ \frac{3}{4}$ for x in 5x-4y=3
5x-4y=3
5( $\frac{3}{4}y+ \frac{3}{4}$ )-4y=3
 $\frac{-1}{4}y+ \frac{15}{4} =3$
$\frac{-1}{4}y+ \frac{15}{4} - \frac{15}{4} =3- \frac{15}{4}$ [Subtract $\frac{15}{4}$ to both sides]
$\frac{-1}{4}y= \frac{-3}{4}$
$\frac{ \frac{-1}{4}y}{ \frac{-1}{4} }= \frac{\frac{-3}{4} }{ \frac{-1}{4}}$ [Divide both sides by $\frac{-1}{4}$ ]
y = 3

Step 3: Substitute 3 for y in x = $\frac{3}{4}y+ \frac{3}{4}$
$\frac{3}{4}y+ \frac{3}{4}$
$\frac{3}{4}(3)+ \frac{3}{4}$
x = 3

5 0

2 years ago