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3 years ago

Three triangles are shown on the centimetre grid

Mathematics

1 answer:

TiliK225 [7]3 years ago

4 0

Answer:

Where is the full question??

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1.Write the expression in expanded form. The subscript number can be write in

enyata [817]

Answer:

(a) Expanded form:

$((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)$

(b) The value of the expression: -21

Step-by-step explanation:

Given

$\sum \limit^4_{i=1}\ ((X_i+X_iY_i) - X_iZ_i)$

Solving (a): The expanded form:

This means that we substitute the values of i from 1 to 4 in the above expression.

So, the expression becomes:

$((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)$

Solving (b): The value of the expression

To do this, we simply substitute the given values of X1, X2....... in the expression.

This gives:

So, the expression becomes:

$((0 + 0*5) - 0*0) + ((1 + 1*26) - 1*-2) + ((12 + 12*-2) - 12*3) + ((-1 + -1*25) - -1*24)$

Simplify each bracket

$((0 + 0) - 0) + ((1 + 26) +2) + ((12 -24) - 36) + ((-1 -25) +24)$

$0 + 29 -48 -2$

$-21$

<em>Hence, the result of the expression is -21</em>

5 0

3 years ago

What is 7539 increased by 3200

ddd [48]

Increased just means +
10739 is the sum

3 0

3 years ago

Find the mode for the set of data. 70, 80, 50, 30, 40, 50, 90, 80, 50

m_a_m_a [10]

The mode is 50 because it occurs the most frequently (three times) out of any of the values.

5 0

3 years ago

6x + 2y > 48<br><br> solve for y

kozerog [31]

Answer:

y > 24 − 3x

Step-by-step explanation:

Step 1: First, you need to factor out the common term 2.

2 (3x + y) > 48

Step 2: Then, you divide both sides by 2.

$3x+y>\frac{42}{2}$

Step 3: Next, you have to simplify $\frac{42}{2}$ into 24.

3x + y > 24

Step 4: Lastly, subtract 3x from both sides and you're done!

y > 24 − 3x

7 0

3 years ago

Let f(x) = 5x ^ 2 - x + 1 and g(x) = - 3x . Evaluate the composition (fg)(1)

nlexa [21]

F(x) = 5(-3x) ^2 - (-3x) + 1
f(x) = -8x ^2 + 3x + 1
f(x) = -8x ^3 + 3x

5 0

3 years ago

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