What is the area of triangle ABC? Round to the nearest square unit.


Triangle A B C is shown. The length of A C is 16, the length of C B is 8, and the length of A B is 10.


Heron’s formula: Area


8 square units

15 square units

33 square units

618 square units

We have been given graph of a downward opening parabola with vertex at point [tex](6.5,42.25)[/tex]. We are asked to write equation of the parabola in standard form.

We know that equation of parabola in standard form is [tex]f(x)=ax^2+bx+c[/tex].

We will write our equation in vertex form and then convert it into standard form.

Vertex for of parabola is [tex]y=a(x-h)^2+k[/tex], where point (h,k) represents vertex of parabola and a represents leading coefficient.

Since our parabola is downward opening so leading coefficient will be negative.

Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:

[tex]0=-a(0-6.5)^2+42.25[/tex]

[tex]0=-a(42.25)+42.25[/tex]

[tex]-42.25=-a(42.25)+42.25-42.25[/tex]

[tex]-42.25=-42.25a[/tex]

[tex]a=1[/tex] Divide both sides by [tex]-42.25[/tex]

So our equation in vertex form would be [tex]f(x)=-(x-6.5)^2+42.25[/tex].

Let us convert it in standard from.

[tex]f(x)=-(x^2-13x+42.25)+42.25[/tex]

[tex]f(x)=-x^2+13x-42.25+42.25[/tex]

[tex]f(x)=-x^2+13x[/tex]

Therefore, the equation of function is standard form would be [tex]f(x)=-x^2+13x[/tex].

31%is the answer i think

Answer:

x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1

Step-by-step explanation:

Answer:

g(x) = |x – 1| + 3

Step-by-step explanation:

Definitely right!

Answer:

x = (3 − √5) / 2, (3 + √5) / 2, and 1

Step-by-step explanation:

Using rational root theorem, ±1 are possible roots.  By trial and error, we find that +1 is a root.  Therefore, x − 1 is a factor.  Knowing this, we can use grouping or long division.  Using grouping:

x⁴ − 5x³ + 8x² − 5x + 1 = 0

x⁴ − 5x³ + 4x² + 4x² − 5x + 1 = 0

x² (x² − 5x + 4) + 4x² − 5x + 1 = 0

x² (x − 4) (x − 1) + (4x − 1) (x − 1) = 0

(x² (x − 4) + 4x − 1) (x − 1) = 0

(x³ − 4x² + 4x − 1) (x − 1) = 0

Repeating the process, possible rational roots of x³ − 4x² + 4x − 1 are ±1.  We already know -1 isn't a root.  By trial and error, we find that +1 is again a root.  Using grouping to factor:

(x³ − 4x² + 3x + x − 1) (x − 1) = 0

(x (x² − 4x + 3) + x − 1) (x − 1) = 0

(x (x − 3) (x − 1) + x − 1) (x − 1) = 0

(x (x − 3) + 1) (x − 1) (x − 1) = 0

(x² − 3x + 1) (x − 1)² = 0

To find the roots of x² − 3x + 1, we use the quadratic formula.

x = [ -(-3) ± √((-3)² − 4(1)(1)) ] / 2(1)

x = [ 3 ± √(9 − 4) ] / 2

x = (3 ± √5) / 2

So the roots are x = (3 − √5) / 2, (3 + √5) / 2, and 1.

Answer:

180 in^3

Step-by-step explanation:

5•18=90in^2

90•2=180in^3

Answer:7

Step-by-step explanation:

Answer:

-0.0833

Step-by-step explanation:

Answer: Each player has two rooks (formerly also known as castles), which begin the game on the corner squares a1 and h1 for White, a8 and h8 for Black.

Step-by-step explanation: Mark me as brainliest

Answer:

11 inches tall

2090/190ft =11 inches

1inch=190ft

11x190

2090ft

Step-by-step explanation:

Answer:

11 inches

Step-by-step explanation:

We can use ratios to solve

1 inch          x inches

------------ = --------------

190 ft          2090 ft

Using cross products

1 * 2090 = 190 * x

Divide each side by 90

2090/190 = 190x/190

11 =x

11 inches

Answer:

4. (x+3)^2 =16

Step-by-step explanation:

Rewrite x^2 +6x -7 = 0 in quadratic form by compliting the square

x^2 +6x = 7 divide 6 by 2 ans square so 6/2 = 3, [tex]3^{2} = 9[/tex] add 9 on each side

x^2 +6x +9 = 7+9 =16 remember that [tex](a + b)^{2} = a^{2} +2ab + b^{2}[/tex]

[tex](x +3)^{2} = 16[/tex]

use this site if it helps for your question desmos.com

Answer:

D

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 1 [tex]\frac{1}{2}[/tex] -(- [tex]\frac{1}{2}[/tex] ) = - 1

d = -  2 [tex]\frac{1}{2}[/tex] - (- 1 [tex]\frac{1}{2}[/tex] ) = - 1

d = - 3 [tex]\frac{1}{2}[/tex] - (- 2 [tex]\frac{1}{2}[/tex] ) = - 1

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - [tex]\frac{1}{2}[/tex] and d = - 1 , thus

[tex]a_{n}[/tex] = - [tex]\frac{1}{2}[/tex] - 1 (n - 1) = - [tex]\frac{1}{2}[/tex] - n + 1 = [tex]\frac{1}{2}[/tex] - n , where n = 1, 2, 3, 4, ......

Answer: D) The y-intercept of g(x) is equal to 2 times the y-intercept of f(x)

Answer:

D

Step-by-step explanation:

Have a good day! :D

Answer: 75 tacos

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

3 T + 4 B =425

T + B = 125

Where T is the number of tacos sold, and B is the number of burritos sold.

Multiplying the second equation by 3, and subtracting it to the first equation:

3 T + 4 B =425

3T + 3B = 375

___________

B =50

Replacing B in any equation:

T + B = 125

T +50 =125

T =125-50

T = 75

Feel free to ask for more if needed or if you did not understand something.

Answer:

10^-3 is 1/1000 and 2^-3 is 1/16

Step-by-step explanation

Answer:

I think the correct answer is 10^-3 1/1000 and 2^-3 is 1/16

Step-by-step explanation:

-edit: The other user copied my answer! ^_^

Faces/ Sides Shape

6 Cube

8 Octahedron

10 Pentagonal trapezohedron

12 Dodecahedron

Answer:

They are in the shape of a cube

Step-by-step explanation:

Answer:

x<-1 and x>2

Step-by-step explanation:

The domain is the values that input can b, in this case x

X can be less than -1

x< -1  

X can be greater than 2

x>2

x<-1 and x>2

Answer:

1 to 3 and V= 1/2 Bh

Step-by-step explanation:

the pyramid is like a triangle there is three sides. There is only one way of the whole pyramid you can cut.

[tex]volume = lwh \\ = 15 \times 4 \times 5 \\ = 300 {in}^{3} [/tex]

hope this helps

brainliest appreciated

Good luck! have a nice day!

Answer:

The length of the prism is

✔ 15

in.

The width of the prism is

✔ 4

in.

The height of the prism is

✔ 5

in.

The volume of the prism is

✔ 300

in.3.

Step-by-step explanation:

On EDG assignment

Answer:

$41

Step-by-step explanation:

If we multiply 3 times 12 equals 36 plus $5 for delivery which equals $41.

Hope this helps!!! PLZ MARK BRAINLIEST!!

Answer:

41$

Step-by-step explanation:

12$ * 3 + 5$ = 41$

(would really appreciate the brainliest)

Answer:

288π

That is exact value in terms of pi.

Step-by-step explanation:

So if the diameter is 12, the radius is 6.

The volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]

Since r = 6, the volume is [tex]\frac{4}{3} * 216\pi[/tex]

Which is 288π

Answer:

904.78 is the answer

volume = 4/3 π r cubed

Answer:

(4,-25)

Step-by-step explanation:

I graphed this on the desmos graphing calculator.

Answer:

f(x) = |x + 1| + 1

Step-by-step explanation:

A reflection over the y-axis followed by a reflection over x-axis is equivalent to a reflection about origin.

f(x) = -|x-1| -1

reflection over the x-axis:

-f(x) = (-1)*(-|x-1| -1) = |x-1| +1

reflection over the y-axis of the previous function:

-f(-x) = |-x-1| +1 = |x + 1| + 1

which is the reflection of f(x) about the origin

So the right answer is 8/5

Look at the attached picture

Hope it will help you

Good luck on your assignment

Think of the 2 in this problem as 2/1.

So we have 2/1 × 8/10.

Now we can cross-cancel the 2 and 10 to 1 and 5.

So we have 1/1 × 8/5 which is 8/5.

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

Answer:

90 kg of stone

Step-by-step explanation:

Adam has 8 x 25 = 200

19 x 22.5 = 427.5

20 x 50 = 1000

He has enough cement and sand

He needs 1090 - 1000 = 90 kg of stone

He needs 2 bags of stone

Answer:

Measure of one Vertical Angle; 96°

Step-by-step explanation:

Here the measure of one of these vertical angles ⇒ 96°, explained in the attachment below;

Answer:no

Step-by-step explanation:

A function must have each x value map onto 1 y value. The x value 11 maps to two y values (1,3)

Step-by-step explanation:

bbbbbbbbbbbbbbb,bbbbbb

To rationalize the denominator of [tex]\frac{2\sqrt{10} }{3\sqrt{11} }[/tex] you should multiply the expression by [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex]

Given the surd function:

For the surd function given, to rationalize it, we only need to multiply the numerator and denominator by √11 as shown:

[tex]=\frac{2\sqrt{10} }{3\sqrt{11} }\times \frac{\sqrt{11} }{\sqrt{11} } \\=\frac{2\sqrt{110}}{3(11)}\\= \frac{2\sqrt{110}}{33}\\[/tex]

Hence we can conclude that to rationalize the denominator of [tex]\frac{2\sqrt{10} }{3\sqrt{11} }[/tex] you should multiply the expression by [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex]

Learn more about surd functions here: https://brainly.com/question/24380382

Hi!

I'm Happy to help you today!

The answer would be B. or 42,240!

The reason is because if you do the math and all that it gives you the answer of 42,240 or B. !

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