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2 years ago

On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).

Mathematics

1 answer:

qaws [65]2 years ago

5 0

Answer:

Step-by-step explanation:

D (-1, -3) and F( 2, 3)

G (-4, -4)

Which point on the y-axis lies on the line that passes through point G and is parallel to line DF?

If the line is parallel to DF then they have the same slope.

slope of line DF is m= difference in y/ difference in x = (-3-3)/( -1-2) = -6/-3 = 2

so slope of line that passes trough G and is ║ with DF is also m= 2

From point G (-4, -4) we go with a slope of 2 until we get to the y-axis

So we go up 2 and 1 left, 2up and 1 left, ... until we get to the point (0, 4), because the slope = rise/run = rise 2/run 1

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Pensé dos números. Si los sumo obtengo 20. Si al doble del primer número le sumo 35 obtengo el segundo. ¿ qué número pensé?

SpyIntel [72]

For this case, the first thing we must do is define variables:
x: first number
y: second number
We now write the system of equations:
x + y = 20
y = 2x + 35
Solving the system we have:
x = -5
y = 25
Answer:
The numbers are:
x = -5
y = 25

4 0

3 years ago

11. Lucas is making one dozen sn

anygoal [31]

Answer:

Lucas needs 12 cups of dried cherries and 24 cups of dried apricots to make one dozen of snacks for his team

Step-by-step explanation:

For each snacks Lucas uses one cup of dried cherries and 2 cup of dried apricots. One dozen of snack contains a total of 12 snacks. Therefore to prepare 12 snacks (one dozen) the number of dried cherries and dried apricots can be gotten by multiplying the number of dried cherries and dried apricots required for each snack by 12.

Number of dried cherries = 1 cup for each snack × 12 snacks = 12 cups

Number of dried apricots = 2 cup for each snack × 12 snacks = 24 cups

Lucas needs 12 cups of dried cherries and 24 cups of dried apricots to make one dozen of snacks for his team

3 0

3 years ago

Tim runs 3 miles every 45 minutes. At this rate, how long did it take Tim to run 18 miles?

geniusboy [140]

Answer: 270 minutes or 4 hours and 30 minutes

Step-by-step explanation: 3x6 =18 and 45 x 6= 270

7 0

3 years ago

Find the value of f(x) at the given value of x: f(x) = (x -4)(x + 3), x = 3

mario62 [17]

Answer:

-6

Step-by-step explanation:

f(x)= (3- 4)(3+3)

=( -1 )(6)

= -6

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2 years ago

Factorise x2-10x-24 plz help

Papessa [141]

Answer:

(х-4)(х-6)

Step-by-step explanation:

х¹= 4

х²=6

easy

7 0

3 years ago

Read 2 more answers