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Wittaler [7]
3 years ago
14

What is the equation of the graphed linear model?

Mathematics
1 answer:
ozzi3 years ago
3 0
Hello,
The line passes through (-1,3) and (9,11)

slope=(11-3)/(9+1)=8/10=4/5

y-3=4/5(x+1)
==>y=4/5 *x +19/5

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In the diagram, AE = 2AC and ∠BAC ≅ ∠DAE. What additional information is necessary to prove that ΔABC is similar to ΔADE, using
ss7ja [257]

Since you want to use the SAS theorem, you must find sides that are either side of angles BAC and DAE. You have already made use of sides AE and AC, so the other sides you need to choose are AB and AD. The appropriate relationship for similarity is ...

... AD = 2AB

since you want the sides of triangle ADE to be twice then length of those in triangle ABC.

7 0
3 years ago
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Sam is moving bags of soil from a loading dock into a storeroom. The top soil weighs 40 pounds per bag and the mulch weighs 20 p
Levart [38]

Answer:

40x+20y\leq 480

Step-by-step explanation:

Givens

  • The top soil weighs 40 pounds per bag.
  • The mulch weighs 20 pounds per bag.
  • The cart can only carry up to 480 pounds.

Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign \leq.

Now, let's call x the top soil and y the mulch, the inequality that represents this problem, would be

40x+20y\leq 480

3 0
3 years ago
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Simplify the ratio: 28:35
Mama L [17]
28:35
Those are divisible by 7 so divide both sides by seven
the answer is 4:5
3 0
3 years ago
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Help me with the work
Tpy6a [65]

Answer:

Option B k > 0

Step-by-step explanation:

we know that

Observing the graph

The slope of the line is positive

The y-intercept is negative

we have

3y-2x=k(5x-4)+6\\ \\3y=5kx-4k+6+2x\\ \\3y=[5k+2]x+(6-4k)\\ \\y=\frac{1}{3}[5k+2]x+(2-\frac{4}{3}k)

The slope of the line is equal to

m=\frac{1}{3}[5k+2]

Remember that the slope must be positive

so

5k+2> 0\\ \\k > -\frac{2}{5}

The value of k is greater than -2/5

Analyze the y-intercept

(2-\frac{4}{3}k) < 0\\ \\ 2 < \frac{4}{3}k\\ \\1.5 < k\\ \\k > 1.5

1.5 is greater than zero

so

the solution for k is the interval ------> (1.5,∞)

therefore

must be true

k > 0

5 0
3 years ago
What is the answer to -3+y=-5
Stolb23 [73]

Answer:

y=-2

Step-by-step explanation:

you are solving for the variable y

add 3 to the opposite side, so it cancels out

y=-5+3

y=-2

4 0
3 years ago
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