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3 years ago

What are the solutions to the quadratic equation 98-x2=0

1 answer:

8 0

$98-x^2=0\qquad\text{add}\ x^2\ \text{to both sides}\\\\98=x^2\to x^2=98\\\\x=\pm\sqrt{98}\\\\x=\pm\sqrt{49\cdot2}\\\\x=\pm\sqrt{49}\cdot\sqrt2\\\\\boxed{x=-7\sqrt2\ \vee\ x=7\sqrt2}$

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What is the area of the logo?

Ludmilka [50]

Answer:

$the \: area \: of \: the \: logo \: is \: {91cm}^{2}$

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

$a = {a}^{2}$

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

$asquare = {7}^{2} \\ asquare = {49cm}^{2}$

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

$a = \frac{b.h}{2} \\ a = \frac{7.4}{2} \\ a = \frac{28}{2} \\ a = {14cm}^{2}$

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

$atriangles = 3a \\ atriangles = {42cm}^{2}$

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

$alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo = {91cm}^{2}$

4 0

3 years ago

Read 2 more answers

HELP PLEASE ASAP<br> I will mark brainliest if you explain

scoray [572]

Answer:

y - 5, (x, y) - (0,5)

3 0

2 years ago

If the average of 12 consecutive odd integers is 328, what is the least of these integers

yanalaym [24]

X+1+x+2+x+3+x+4+x+5+x+6+x+7+x+8+x+9+x+10+x+11+x+12/12
12x+78/12 = 132 times 12 is
12x+78 = 1,548 minus 78
12x = 1,506 divide by 12
x = 125.5 I believe is the answer, sorry if it is wrong

5 0

3 years ago

Yasmine has 4 containers of 4 different colors of flowers to plant. She had 1/3 of each color left over when she was done planti

olga2289 [7]

Answer:

$2\frac{2}{3}$

Step-by-step explanation:

Given the information

4 containers of 4 different colors
1/3 of each color left over
She had planted more than 2 1/2 of the original 4 containers

=> Total color were left = 1/3 x 4 = 4/3 of the original containers

=> Total color were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers

However, 8/3 = $2\frac{2}{3}$ > 2 $\frac{1}{2}$

So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is: $2\frac{2}{3}$

Hope it will find you well

7 0

3 years ago

17.253 to the nearest tenth

Vlad1618 [11]

Answer:

17.3

Step-by-step explanation:

tens ones. tenths hundredths thousandths

1 7 . 2 5 3

We are rounding to the nearest tenth

We are rounding the 2 so we look at the 5. If it is 5 or above we round up.

Since it is, we will round the 2 to a 3

17.3

7 0

3 years ago

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