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2 years ago

What is the HCF of 54

1 answer:

4 0

The HCF is the Highest Common Factor of a number in this case 54. This is the highest number times another number which = 54. The HCF for 54 is 18.

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Find the area of the rhombus

professor190 [17]

Answer:

108

Step-by-step explanation:

none. I looked it up...so ion know lol. Im just tryna get these 50 points for sum reason...

3 0

2 years ago

Read 2 more answers

If h(x) = 3 + 2f(x) , where f(1) = 3 and f '(1) = 4, find h'(1).

Leviafan [203]

H'(x) = 2f'(x)

h'(1) = 2*f'(1) = 2*4
h'(1) = 8

3 0

3 years ago

The upper-left coordinates on a rectangle are (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis, and the upper

nikklg [1K]

Answer:

See attachment for rectangle

Step-by-step explanation:

Given

$A = (-6,0)$

$B = (-4,0)$

$Area = 12$

Required

Draw the rectangle

First, we calculate the distance between A and B using distance formula;

$AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, we have:

$AB = \sqrt{(-6 - -4)^2 + (0- 0)^2}$

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

$AB = \sqrt{4 + 0}$

$AB = \sqrt{4}$

$AB = 2$

The above represents the length of the triangle.

Next, calculate the width using:

$Length * Width = Area$

$2* Width = 12$

Divide both sides by 2

$Width = 6$

This implies that, the width of the rectangle is 6 units.

We have:

$A = (-6,0)$

$B = (-4,0)$

Since A and B are at the upper left and right, then the ther two points are below.

6 units below each of the above point are:

$C = (-6,0-6)\\$ => $C = (-6,-6)$

$D = (-4,0-6)$ => $D = (-4,-6)$

Hence, the points of the rectangle are:

$A = (-6,0)$

$B = (-4,0)$

$C = (-6,-6)$

$D = (-4,-6)$

<em>See attachment for rectangle</em>

6 0

2 years ago

Amanda drove for 3 hours through different traffic conditions. her average speed was 50mph for the first hour, 72 mph for the se

Neko [114]

Distance traveled in the first hour = 50 miles

Distance traveled in the second hour = 72 miles

Distance traveled in the third hour = 46 miles

Total distance = 50 + 72 + 46 = 168 miles

23 miles = 1 gallon

168 ÷ 23 = 7.30 gallons (nearest hundredth)

Answer: 7.30 gallons

7 0

2 years ago

The sum of squares of two consecutive odd numbers is 514 find the numbers

amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

$\rule{130}1$

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

$\rule{130}1$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup$

When,

$\bullet\: \textsf {x = } \textbf {15}$

$\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}$

$\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.$

5 0

2 years ago