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SVEN [57.7K]
2 years ago
5

Factor the trinomial below. x2 - 12x+ 35

Mathematics
2 answers:
lisabon 2012 [21]2 years ago
7 0

Answer:

Step-by-step explanation:

x2 - 12x+ 35 = x^2 - 7x -5x +35

                   = x ( x-7) - 5(x - 7)

                   = (x-7)(x-5)

vlabodo [156]2 years ago
6 0

<u>ANSWER:  </u>

The factors of the expression x^{2}-12x+35 are (x – 7) and (x – 5).

<u>SOLUTION: </u>

Given, Trinomial expression is x^{2}-12x+35

Trinomial is nothing but an expression or equation having three terms in it.  

Given expression is quadratic expression.

Now, to factorize any quadratic expression we need to write the constant term as product of two numbers, such that sum two number should equal to coefficient of x, in order to take common.

x^{2}-12 x+35

By writing constant as product of two numbers, we get

x^{2}-12 x+5 \times 7

By writing the “x” term as sum of two number coefficients, we get

x^{2}-7 x-5 x+5 \times 7

By taking x and  -5 as common

x(x – 7) –5(x – 7)

By taking (x – 7) as common, the above expression becomes,  

(x – 7)(x – 5)  

Thus factors of the expression X^{2}-12 X+35 are (x – 7) and (x – 5).

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2) The two rectangles shown are similar.
Citrus2011 [14]

Answer:

6\ cm

Step-by-step explanation:

First Rectangle:

length(l_1)=24\ cm\\\\Width(b_1)=9\ cm

Second Rectangle:

length(l_2)=16\ cm\\\\Let\ Width=b_2\ cm

Since\ these\ two\ rectangles\ are\ similar\\\\\frac{l_2}{l_1}=\frac{b_2}{b_1}\\\\\frac{16}{24}=\frac{b_2}{9}\\\\16\times 9=24\times b_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cross\ multiplication\\\\b_2=\frac{16\times 9}{24}\\\\b_2=6\ cm

5 0
3 years ago
5(2f+3)+7. please simplify
Sergio [31]
Hi there!

5(2f+3)+7
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3 0
3 years ago
Read 2 more answers
Please HELP!! ILL GIVE BRAINLEST! QUCIK PLEASE HELP!!
Elena-2011 [213]

Answer:

d. linear; $25/hour

Step-by-step explanation:

From looking at the graph, we have that renting for 2 hours costs $50, for 4 hours costs $100, for 6 hours costs $150, and for 8 hours costs $200. To find out whether the quantities described in the table are linear, we have to see if there is a constant rate of change of price.

For hour 2 to hour 4, we can see that the price increases by $50. This is the same for hour 4 to hour 6 and hour 6 to hour 8. For every 2 hour time interval, the price increases by $50. Therefore, there is a constant rate of change and the quantities described in the table are linear.

Now we have to find the constant rate of change per hour. We know that the price increases by $50 every 2 hours, so, by dividing both the hours and price increase by 2, the price increases by $25 per hour. So the constant rate of change is $25/hour.

Linear. $25/hour

Answer choice d.

I hope you find my answer and explanation to be helpful. Happy studying.

6 0
2 years ago
X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

6 0
2 years ago
32.8g of sugar is needed to make 4 cakes. How much sugar is needed for 7 cakes?
allochka39001 [22]

Answer:

57.4g

Step-by-step explanation:

32.8g of sugar is needed to make 4 cakes. How much sugar is needed for 7 cakes?

From the above questions, we know that:

4 cakes = 32.8g

7 cakes = x g

Cross Multiply

4 × xg = 7 × 32.8g

x = 7 × 32.8g/4

x = 57.4 g

Therefore, 57.4g is needed for 7 cakes

6 0
2 years ago
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