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Ksju [112]
3 years ago
10

Daniel and Sofia both solve this system of equations: y = -1.5x + 5.7 y = 0.5x + 0.3 Daniel's solution is (1.1, 2.4). Sofia's so

lution is (2.7, 1.65). They graph the equations to check their work. Based on the graph, whose solution is more likely to be correct?Daniel is more likely to be correct. The x-coordinate of the intersection is between 1 and 2 and the y-coordinate of the intersection is between 2 and 3. Sofia is more likely to be correct. The x-coordinate of the intersection is between 2 and 3 and the y-coordinate of the intersection is between 1 and 2. or niether
Mathematics
2 answers:
scoundrel [369]3 years ago
7 0
Y = -1.5x + 5.7
y = 0.5x + 0.3

-1.5x + 5.7 = 0.5x + 0.3
-1.5x - 0.5x = 0.3 - 5.7
-2x = - 5.4
x = -5.4/-2
x = 2.7

y = 0.5x + 0.3
y = 0.5(2.7) + 0.3
y = 1.35 + 0.3
y = 1.65

solution is (2.7, 1.65)

Sophia is more likely to be correct because the x coordinate is between 2 and 3 and the y coordinate is in between 1 and 2



OverLord2011 [107]3 years ago
7 0

Answer:

Sofia is more likely to be correct

=)

Step-by-step explanation:

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Find the measure of each angle using the triangle sum theorem and exterior angle theorem
Paladinen [302]

(please open my photo for reference as you read, I am a visual learner/explainer so it will make the most sense that way)

So the first thing you want to do is look at the exterior angle 130°. A straight line is 180°, and every Triangle's angular sum is 180°. How I think of it is that every straight line has a mini protractor on either side. It makes it a bit easier to understand.

180 - 130 = 50

You now know that two of the angles are 50°.

You now have two of the measurements for the triangle farthest to the left.

75° and 50°

75 + 50 = 125

180 - 125 = 55

a = 55°

Now that you have all the measurements for the first triangle, let's move onto the next one.

With two measurements for the second triangle, all you need to do is find their sum and subtract that from 180 and you will have the third measurement!

50 + 60 = 110

180 - 110 = 70

b = 70°


Finally, for the last triangle, you already have two of the measurements 60° and 85°.


85 + 60 = 145

180 - 145 = 35

c = 35°


Sorry if this explanation is a bit messy, it's hard to describe certain things without a letter or some kind of name to differentiate between them verbally.


I hope this helps! <3

3 0
3 years ago
If a kid was playing for 4 hours and he did 9 activitys how much time did each activity take
nadezda [96]

Answer:

26.6667 minutes or 0.444 hours per activity.

Step-by-step explanation:

If he spent an equal amount of time on each activity, then it would have to be divided equally: 4hours/9

In minutes:

4 x 60 = 240 minutes

240/9

26.6667 minutes per activity.

In Hours:

4/9

0.444 hours per activity.

3 0
3 years ago
Read 2 more answers
Please don't steal points I need help :(
blagie [28]

Answer:

I think its C

Step-by-step explanation:

3 0
3 years ago
Plz help worth 20 points
Nikolay [14]

Answer:

20cm^{2}

Step-by-step explanation:

Area=base times height

Base=4 cm, height=5

4 x 5 =20

Answer: 20cm^2

6 0
2 years ago
Read 2 more answers
How can you analyze the numerator and/or the denominator in a rational expression to locate the x-intercepts?
andre [41]

Answer:

x=0 for f(x)=\frac{P(x)}{Q(x)}, with Q(x) \neq 0.

Step-by-step explanation:

To obtain x-intercepts, we need to give certain value, specifically x=0.

However, in case of a rational function, we must make sure that x=0 doesn't makes the denominator null, beacuse in that case the function is undefined.

Therefore, for x-intercepts we must say

x=0 for f(x)=\frac{P(x)}{Q(x)}, with Q(x) \neq 0.

7 0
3 years ago
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