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DIA [1.3K]
2 years ago
5

Beth and Adam each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store. Beth sp

ent $76 on 3 rose bushes and 5 pots of ivy. Adam spent $176 on 8 rose bushes and 10 pots of ivy. What is the cost of one rose bush and the cost of one pot of ivy?
Mathematics
1 answer:
horsena [70]2 years ago
5 0

Answer:

1

Step-by-step explanation:

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Can someone please help me with this? <br><br> What is the volume of this sphere?
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26 feet queen your welcome
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3 years ago
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A surveyor starts at the southeast corner of a lot and
elena-s [515]

Find the difference vertically( North and South) and the difference horizontally ( East and West)

Then use  the Pythagorean Theorem.

600 North - 200 South = 400 m

400 West - 100 East = 300 m

Now using the Pythagorean Theorem;

400^2 + 300^2 = total displacement^2

Total displacement^2 = 160,000 + 90,000

Total displacement^2 = 250,000

Total displacement = √250,000

Total displacement = 500 m

7 0
2 years ago
What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
2 years ago
Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (5, 2), (3, 3)
Strike441 [17]

Answer:

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Step-by-step explanation:

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  • (x2-x1) is 3-5 so x2-x1= -2
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8 0
2 years ago
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Determine whether the relation is a function. Explain why or why not.
Vitek1552 [10]

This relation is a function. This is because no x value is repeated, so it passes the vertical line test.

Here is an example of where a relation is NOT a function:

{(2, 5), (3, –5), (2, 5), (5, –5)}

Hope this helps!

3 0
2 years ago
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