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Mkey [24]
2 years ago
15

Find the x-intercept of the graph of the equation: 4x + y = 3

Mathematics
1 answer:
Anon25 [30]2 years ago
7 0

The x-intercept is where the y is zero. So, we have just enough info :) Simply plug in 0 for y in order to find x.

4x + 0 = 3

x = 3/4

so the x intercept is (3/4, 0)

__________________

Please let me know if you have any questions :3

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Terrance claims that for the input coordinates (x, y), a rotation of 180° clockwise about the origin, followed by a reflection o
vodka [1.7K]

Answer:

Terrance is incorect.

Correct output coordinates (-y,-x)

Step-by-step explanation:

Let (x,y) be the input coordinates.

First translation is a rotation of 180° clockwise about the origin. This translation has a rule

(x,y)\rightarrow (-x,-y)

Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule

(a,b)\rightarrow (b,a)

When a sequence of two translations are applied to the initial input coordinates, then

(x,y)\rightarrow (-x,-y)\rightarrow (-y,-x)

As you can see Terrance made a mistake and these two transformations do not cancel themselves out.

8 0
3 years ago
There are 7 cows and 5 chicken in the farmer's filed
Vanyuwa [196]

Answer:

7:12

Step-by-step explanation:

Total no of animals in the field = 7 + 5 = 12

Ratio of cows 2 all d animals in the field =

\frac{no \: of \: cows}{total \: no \: of \: animals \: on \: the \: field}

Ratio = 7/12 = 7:12

8 0
3 years ago
21 less than a number, multiplied by 4, results in 108.Find the value of the unknown number.
Anni [7]

21 - 4x = 108

<em><u>Subtract 21 from both sides</u></em>

-4x = 87

<em><u>Divide both sides by -4</u></em>

x = -21.75

6 0
3 years ago
What else would need to be congruent to show that abc = xyz by asa
pochemuha
Since you're working with the ASA postulate, you're looking to show congruence of the angles at either end of a side. You're given side AC and angle A as congruent with their counterparts. Obviously, you also need to show congruence of angle C with its counterpart, angle Z.

selection B is appropriate
6 0
3 years ago
An element with mass 670 grams decays by 27.3% per minute. How much of the element is remaining after 9 minutes, to the nearest
ArbitrLikvidat [17]
There will be 38 grams remaining.

The equation would be of the form
y = a(1+r)ˣ, where a is the initial value, r is the rate as a decimal number, and x is the amount of time.  Using our values from the problem, we have:

y = 670(1-0.273)^9 = 670(0.727)^9 = 38
6 0
3 years ago
Read 2 more answers
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