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OLga [1]
2 years ago
7

Find the area of the shape shown below.

Mathematics
1 answer:
777dan777 [17]2 years ago
4 0

Answer:

42

Step-by-step explanation:

to find out the triangle do this formula:

bxh/2

3.5x3=10.5

3.5x3=10.5

21

To find out rectangle do:

lxw

7x3=21

21+21=42

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Include parentheses in your answer.<br> (x3 + y3) ÷ (x - y)
-Dominant- [34]
I'm assuming you mean \frac{x^3+y^3}{x-y}

we can factor that sum of perfect cubes from x^2+y^3 into (x+y)(x^2-xy+y^2)

so therefor \frac{x^3+y^3}{x-y}=\frac{(x+y)(x^2-xy+y^2)}{x-y}
that is simpliest form

8 0
3 years ago
Which is the better buy? 5-pack of toaster pastries for $4.13 or 9-pack of toaster pastries for $7.56
kolbaska11 [484]

Answer: <em>The answer is </em><u><em>9-pack of toaster pastries for $7.56</em></u>

Step-by-step explanation:

<em>Basicly it would be more expensive if you bought 9 for the first option but less for the other.</em>

5 0
3 years ago
Prove that equation ax^2+2hxy+by^2 always represent a pair of straight lines passing through the origin
GarryVolchara [31]
You should try a calculator 2 6
4 0
2 years ago
Triangle ABC is isosceles.
NARA [144]

we know that

An isosceles triangle is a triangle with two equal sides and two equal angles

so

in this problem we have

AC=AB

∠B=∠C

therefore

<u>the answer is </u>

It is equal to the measure of angle C

8 0
3 years ago
Read 2 more answers
Find the ratio in which the lines segment joining A(1,-5) &amp; B(-4,5) is divided by the x-axis. Also find the corrdinates of t
ioda

Step-by-step explanation:

\large\underline{\sf{Solution-}}

<u>Given that </u>

A line segment AB having coordinates of A as (1, - 5) and coordinates of B as (- 4, 5).

Let assume that x - axis divides the line segment joining the points A (1, - 5) and B (- 4, 5) in the ratio k : 1 at C.

Let assume that coordinates of C be (x, 0).

We know,

Section formula :-

Let P(x₁, y₁) and Q(x₂, y₂) be two points in the coordinate plane and R(x, y) be the point which divides PQ internally in the ratio m₁ : m₂. Then, the coordinates of R will be:

\sf\implies \boxed{\tt{ R = \bigg(\dfrac{m_{1}x_{2}+m_{2}x_{1}}{m_{1}+m_{2}}, \dfrac{m_{1}y_{2}+m_{2}y_{1}}{m_{1}+m_{2}}\bigg)}}

So, on substituting the values, we get

\rm \longmapsto\:(x,0) = \bigg(\dfrac{ - 4k + 1}{k + 1}, \:  \dfrac{5k - 5}{k + 1} \bigg)

On comparing y - coordinate on both sides, we get

\rm \longmapsto\:\dfrac{5k - 5}{k + 1}  = 0

\rm \longmapsto\:5k - 5 = 0

\rm \longmapsto\:5k = 5

\bf\implies \:k = 1

<u>Hence, </u>

The x - axis divides the line segment joining the points A (1, - 5) and B (- 4, 5) in the ratio 1 : 1 at C.

Now, On comparing x - coordinate on both sides, we get

\rm \longmapsto\:x = \dfrac{ - 4k + 1}{k + 1}

On substituting the value of k, we get

\rm \longmapsto\:x = \dfrac{ - 4+ 1}{1 + 1}

\rm \longmapsto\:x  \: =  -  \: \dfrac{3}{2}

<u>Hence, </u>

The coordinates of point of intersection, C is

\rm\implies \:\boxed{\tt{ Coordinates \: of \: C = \bigg( - \dfrac{3}{2}, \: 0 \bigg) }}

7 0
3 years ago
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