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castortr0y [4]
3 years ago
9

What's 2x+3y=6 and x-3y=9?

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0
Set up a system of equations:

2x+3y=6
x-3y=9

You can solve this with elimination by adding the two equations together:

3x+0y = 15
3x=15
x=5

Then, plug this value back into either of the original equations to find the y value:

5-3y=9
-3y=4
y= -4/3

The point of intersection is (5,-4/3)
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Determine the area of the composite figure to the nearest whole number.
Arada [10]
So this is a two step process, first you must find the area of the rectangle, then find the area of the semicircle.

So to find the area of a rectangle, you use: Length*Height=Area
In this case that would be: 7*2=14cm

Next you find the area of the semicircle, to do this you first find the area of the circle (Pi*r^2) then divide it by 2.

The diameter of the circle is 4 because: 7-2-1=4cm
Next divide that by 2 so that you get the radius: 4/2=2cm
Not you can plug that into the equation to get the area of the circle: Pi*2^2<span>≈13cm^2
Next divide it by 2 so that you get the area of the semicircle:13/2</span><span><span>≈</span>6cm^2

At this point you can add the area of the semicircle to the area of the rectangle: 14+6=20cm^2

So your final answer is 20cm^2!
</span>
5 0
3 years ago
Simplify fully 9(x+7)(x+7)/3(x-1)(x+7)
Marizza181 [45]

Answer:

60x

Step-by-step explanation:

3 0
3 years ago
What am I supposed to do here?
sweet [91]

Answer:

here is your answer.

Step-by-step explanation:

total frequency is 24

7 0
2 years ago
The diameter of a circle is 6 cm. Find its area to the nearest tenth.
Kruka [31]

Answer:

28.27cm²

Step-by-step explanation:

formula:

A=πr²

d = 2r

Solving for A

A=1/4π d² = 1/4 · π · 6² ≈ 28.27433cm²

rounded: 28.27cm²

hope this helped!

8 0
3 years ago
Read 2 more answers
Plums cost $0.77 per pound Mangoes cost $1.32 per pound Write an expression that can be used to find the cost of buying p pounds
marissa [1.9K]

Answer:

The graphs below show the cost y of buying x pounds of fruit. One graph shows the cost of buying x pounds of peaches, and the other shows the cost of buying x pounds of plums.

Which kind of fruit costs more per pound? Explain.

Bananas cost less per pound than peaches or plums. Draw a line alongside the other graphs that might represent the cost y of buying x pounds of bananas.

IM Commentary

This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.

Solutions

Solution: Slope as Unit Rate

The graph that represents the cost of x pounds of peaches is steeper, so it must have a larger slope. The slope can be interpreted as the unit rate; in this case it tells you the cost of a single pound of fruit.

Since the slope for the peach graph is greater than the slope of the plum graph, the cost of a pound of peaches is greater than the cost of a pound of plums.

For b, students should realize that the cost per pound of bananas will be represented by a slope that is less than either of the other two, and draw a line through the origin labeled "Bananas" and lying below both of the other graphs.

Solution: Adding a scale to the graph

Students who prefer to work with specific numbers can approach this problem by sketching in a scale on the x-axis and y-axis. For example, if they decided that a pound of peaches might cost a dollar, then they might plot the point (1,1) on the line labeled "Peaches", then fill out the rest of the scale accordingly. They could then read off the cost of a pound of plums and see that it is less than for peaches.

For the second question, they could choose any price per pound b for bananas that is less than the one they read off for plums, and then draw a line from the origin through the point (b, 1), and label it "Bananas".

4 0
3 years ago
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