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stira [4]
3 years ago
13

The table shows the grade that 4 students received on a math test. Find the bar graph that represents the grades.

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

The answer to your question is the first graph.

Step-by-step explanation:

It seems that the first graph is correct because the height of the bars is equal to the grade get by the students.

The second graph is incorrect because the height of the bars is different from the grade the students got. Only the bar of Levi is correct.

The third graph is incorrect, just observe the height of John's bar to determine that the graph is wrong.

Also, the last graph is incorrect, in this graph, all the bars are different from the grade the students got.

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1. Match the polynomial identity to the correct answer.
Katen [24]

Answer:

a: (a-b)(a+b);b: (a-b)(a^{2}+ab+b^{2});  c: (a^{2} +2ab+b^{2}); d: (a+b)(a^{2}- ab+b^{2})

Step-by-step explanation:

Given the expressions all that is required is to expand them (using the distributive property) to see which answers they match up to:

For a: (a-b)(a+b)=a^{2} +ab-ab-b^{2} =a^{2}-b^2

For b: (a-b)(a^2+ab+b^2)=a^3+a^2b+ab^2-a^2b-ab^2-b^3=a^3-b^3

For c calculate the square of a sum: (a+b)^2=a^2+ab+ab+b^2

(add like terms) c: a^2+2ab+b^2

For d: (a+b)(a^2-ab+b^2)=a^3-a^2b+ab^2+a^2b-ab^2+b^3=a^3+b^3

5 0
3 years ago
Solve the following system of equations:<br> y = 4x - 6<br> 5x - 4y = -9
antoniya [11.8K]

Answer:

(X=Y)=(3,6)

Step-by-step explanation:

5x-4(4x-6)=-9

x=3

y=4x3-6

y=6

5 0
3 years ago
Read 2 more answers
Graph triangle RST with vertices R(3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over x = -3.​
kirill115 [55]

Given:

The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).

To find:

The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.

Solution:

If a figure reflected across the line x=a, then

(x,y)\to (-(x-a)+a,y)

(x,y)\to (-x+a+a,y)

(x,y)\to (2a-x,y)

The triangle after a reflection over x = -3. So, the rule of reflection is

(x,y)\to (2(-3)-x,y)

(x,y)\to (-6-x,y)

The vertices of triangle after reflection are

R(3,7)\to R'(-6-3,7)

R(3,7)\to R'(-9,7)

Similarly,

S(-5,-2)\to S'(-6-(-5),-2)

S(-5,-2)\to S'(-6+5,-2)

S(-5,-2)\to S'(-1,-2)

And,

T(3,-5)\to T'(-6-3,-5)

T(3,-5)\to T'(-9,-5)

Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).

3 0
3 years ago
Which of these figures has rational symmetry?
Nana76 [90]

Answer:

a is the answer parallelogram is a rotational symmetry

4 0
3 years ago
Read 2 more answers
A right come has a volume of 24pie cubic meters and a radius of 3 meters find the height of the cone
JulijaS [17]
Hello!

The equation for find the h when given volume and radius is

h = 3 \frac{V}{ \pi  r^{2} }

h is height
v is volume
r is radius

Put in the values you know

3 \frac{24 \pi }{ \pi  3^{2} }

Since there is pi on the top and bottom we can get rid of it

multiply the 3 by the top number

\frac{72}{9}

the answer is 8m

Hope this helps!
4 0
4 years ago
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