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Dvinal [7]
2 years ago
12

BRAINLIEST:

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
7 0

Answer:

2

Step-by-step explanation:

what you do is -4(2)^-2 which is -1

then you do 3(5)^0 which is 3

then you add it together and it is 2

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seven pounds of potatoes were used to make a potato soup. the cook served all of the soup in sixteen equal servings. how many po
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Answer:

0.4375

Step-by-step explanation:

7/16=0.4375

If you have any additional questions let me know. :)

8 0
3 years ago
Please Help!!
neonofarm [45]
The anwser is 3/5 hope it helps
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adelina 88 [10]
3. you cannot simplify √30
4 0
2 years ago
What is the y-interceptof the graph below?*
Talja [164]

Answer:

J- 2

Step-by-step explanation:

its where the line goes through the plot on the vertical axis

6 0
3 years ago
Read 2 more answers
a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l
GrogVix [38]

Answer:

\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}

Step-by-step explanation:

The equation of a line:

y=mx+b

We have

m=\dfrac{2}{3}

substitute:

y=\dfrac{2}{3}x+b

The formula of a distance between a point and a line:

General form of a line:

Ax+By+C=0

Point:

(x_0,\ y_0)

Distance:

d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}

Convert the equation:

y=\dfrac{2}{3}x+b     |<em>subtract y from both sides</em>

\dfrac{2}{3}x-y+b=0    |<em>multiply both sides by 3</em>

2x-3y+3b=0\to A=2,\ B=-3,\ C=3b

Coordinates of the point:

(0,\ 0)\to x_0=0,\ y_0=0

substitute:

d=4

4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}

4=\dfrac{|3b|}{\sqrt{13}}\qquad|    |<em>multiply both sides by \sqrt{13}</em>

4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}   |<em>divide both  sides by 3</em>

b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}

Finally:

y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}

4 0
2 years ago
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