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3 years ago

Last question YESS 1 question thank you for coming on this journey with me :-)

Mathematics

1 answer:

Murrr4er [49]3 years ago

5 0

2x²(3x - 4)(x + 5)

= 2x²(3x² + 15x - 4x - 20)

= 2x²(3x² + 11x - 20)

= 6x⁴ + 22x³ - 40x² (Answer D)

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Hhhheeeeellllllpppp no 13 and 14

laila [671]

Answer:

13. B. 24 cm²

14. y = 5⅝ (none of the options is correct)

Step-by-step explanation:

13. The figure is a trapezoid

Area of the trapezoid = ½(a + b)h

Where,

a = 3 cm

b = 5 cm

h = 6 cm

Area = ½(3 + 5)6

= ½(8)6

= 4*6

= 24 cm²

14. Area of the triangle = ½*b*h

The area is given to be 45 cm²

base (b) = 16 cm

height (h) = y

Plug in the values and solve for y

45 = ½*16*y

45 = 8y

Divide both sides by 8

45/8 = 8y/8

45/8 = y

5⅝ = y

y = 5⅝ (none of the options is correct)

5 0

3 years ago

A rectangle has a width of 2xy3 and a length of 4x5y6. What is the area of the rectangle?

astraxan [27]

Answer:

6x²5y²6 cm²

Step-by-step explanation:

(2xy3) x (4x5y6)

(2x) x (4x) = 6x²

(y) x (5y) =5y²

6x²5y²6 cm²

7 0

2 years ago

Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total

AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

$x+450$

To calculate the total interest we need to calculate the interest of each individual account and sum them:

$\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}$

The total interest is the sum of the two expressions above:

$\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}$

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0

1 year ago

Given the equation y=x^2-12x-5, convert to vertex form, then give the value of k

marishachu [46]

the answer os 5xx entendida

6 0

3 years ago

Triangle A″B″C″ is formed using the translation (x + 1, y + 1) and the dilation by a scale factor of 3 from the origin. Which eq

FromTheMoon [43]

Answer:

$B''C''=3BC$

Step-by-step explanation:

we know that

The length of segment B''C'' is equal to the length of segment BC multiplied by the scale factor

step 1

Find the length of segment BC

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the points

B(1,-3),C(-3,-3)

substitute the values

$BC=\sqrt{(-3+3)^{2}+(-3-1)^{2}}$

$BC=\sqrt{(0)^{2}+(-4)^{2}}$

$BC=4\ units$

The segment B''C'' is equal to the segment BC multiplied by the scale factor

The scale factor is 3

$B''C''=BC(3)$

$B''C''=3BC$

substitute

$B''C''=3(4)=12\ units$

4 0

3 years ago

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