Solve the equation using the Quadratic Formula: *

x2 – 3x + 3 = 5x + 1

Answer:

In the picture attached, the question is shown.

a) Applying Pythagorean theorem to triangle ABC, and solving for AC:

CB² + BA² = AC²

5² + 12² = AC²

√169 = AC

13 cm = AC

b) Applying Pythagorean theorem to triangle ACD, and solving for AD:

CD² + AC² = AD²

5² + 13² = AD²

√194 = AD

13.9 cm = AD

Answer:

B) Yes, ΔMNO ≅ ΔPON by SAS

Step-by-step explanation:

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

In this case, side MO is congruent to side NP and side NO is shared by both triangles. The included angle in ΔMNO is ∠O and in ΔPON is ∠N, and they are congruent.

Answer:

Step-by-step explanation:

B) Yes, ΔMNO ≅ ΔPON by SAS

Just did this test.

Answer: -4 meters

Step-by-step explanation:

8 - 4 = 4; If it started at 4 meters depth and then went down to 8 meters depth, then it submerged 4 meters.

Answer:

-4

Explanation:

To find the change in depth simply subtract how many meters it was below the surface by how many meters it was at the starting point.

8 - 4

-4

Therefore, the change in depth was -4 meters.

Answer:

We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13, Hope that helps!.

Answer:

Ox+y+z=180

Step-by-step explanation:

The relationship which is always rue for the three angles x, y and z of triangle ABC is x + y + z = 180°.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

We know that a triangle has three angles.

Let x, y and z be the three angles of the given triangle.

We know that, the interior angles of a triangle sum up to 180°.

The given three angles are x, y and z.

So, x + y + z = 180°

Hence the correct relationship that describes all the three angles of the triangle is that x + y + z = 180°.

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Answer:

true

Step-by-step explanation:

y = –x + –5

Substitute the point into the equation

-8 = -3 + -5

-8 = -8

This is true so the point is a solution to the equation

Answer:

My milkshake brings all the boys to the yard

And they're like, it's better than yours

Answer:

A

Step-by-step explanation:

[tex]f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer:

=-12

Step-by-step explanation:

f(x) = (x^2-36)/(x+6)

Factor the numerator.  The numerator is the difference of squares  

(a^2 -b^2) = (a-b)(a+b)

f(x) = (x-6)(x+6)/(x+6)

Cancel the like terms

f(x) = x-6

f(-6) = -6-6

       = -12

Answer:

1: (ab)^3

2: 3m^2n^5

3: 15y^3x^7

4: 8s^5r^7

5: 6q^3p^5

Step-by-step explanation:

sorry but fot the explanation, it would take me 10 years to write but you can trust me with these answers

Answer:

A. 0.003

Step-by-step explanation:

When using decimals to represent a percentage it goes as follows:

100% = 1

75% = 0.75

50% = 0.5

25% = 0.25

1% = 0.01

And in the case of this problem: 0.3% = 0.003

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

the answer is c because you multiply 4 and 2 and get 8 and multiply 8 by 8 and get 64 then you use 4 again and multiply 64 by 4 so you get 256 and round that 254

Answer:

Step-by-step explanation:

Answer:

[tex]138.23units^2[/tex]

Step-by-step explanation:

[tex]A=2\pi rh+2\pi r^2=2*\pi *2*9+2*\pi *2^2=138.23008\\138.23units^2[/tex]

Answer:

44pi

Step-by-step explanation:

Look at the attachment

Answer:

2 and 3 are true

Step-by-step explanation:

1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.

2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.

3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.

4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.

Hope this helps!

Answer:

2 and 3

Step-by-step explanation:

Insufficient evidence. Would you please send a screenshot or a picture of the paper?

Answer:

Question 9: slope= 4

Question 10: 10x+5y = -25

Step-by-step explanation:

For question 9, since it is a linear function, you can think of it as y=mx+b. "m" is the slope value. In your instance, m=4 so the slope is 4. For question 10, you need to reorder it into y=mx+b by moving the -25 to the left side and moving the 5y to the right side. After you do this, you should get 10x+25=-5y. Then divide both sides by -5 to get -2x-5=y. Since m is a negative value, the function has a negative slope. Since the "b" value is the y-intercept and this case it's -5, the y-intercept of the equation is -5.

Answer:

Step-by-step explanation:

Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.

Given that,  

[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]

solution by Cramer's rule

[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A = -320[/tex]

[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A_1 = 7210[/tex]

[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]

[tex]A_2=-10135[/tex]

[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]

[tex]A_3=-2770[/tex]

[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]

[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]

[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]

[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]

Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

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Answer:

The leading coefficient is 15

The constant is -6

Step-by-step explanation:

So first open up all the parentheses:

[tex]8r^3+2r^2+1-7+7r^3-3r^2 = 15r^3-r^2-6[/tex]

The leading coefficient is 15

The constant is -6

Answer:

x^1/8 y^8

Step-by-step explanation:

To obtain the answer to the question given above, let us simplify the expression (x^1/4 y^16)^1/2.

This is illustrated below:

(x^1/4 y^16)^1/2

(x^1/4)^1/2 • (y^16)^1/2

x^1/4×1/2 • y^16×1/2

x^1/8 y^8

Therefore, x^1/8 y^8 is equivalent to (x^1/4 y^16)^1/2.

Answer:

B. (3, -6)

Step-by-step explanation:

Given line

y= 1/4x + 3

given line is in form of y = mx + c

where m is slope of line and c is y intercept

thus, in line  y= 1/4x + 3  m is 1/4 is slope

we know product of slope of two perpendicular line is -1

m1 * m2 = -1

let the line perpendicular to  y= 1/4x + 3 be

y = mx + c

thus

m * 1/4 = -1

m = -4

Thus, in y = mx + c , m is -4

updated equation until now by putting value of m as -4

y = -4x + c

this, line passes through point (0,6)

putting x as 0 and y as 6 in y = -4x + c

we have

6 = -4*0 + c

=> c = 6

Thus, equation of perpendicular line is

y = -4x + 6

_______________________________________________

we have to find which point from the option lies on y = -4x + 6

lets plug in value of x   from given points and see if value of y calculated  is as given in option . if the value is different then point does not lie on perpendicular line

(4, -2)

y = -4*4 + 6

y = -16 + 6 = -10

-10 is not equal to -2 as given in option, thus point (4,-2 ) does not lie on

y = -4x + 6

(3,-6)

y = -4*3 + 6

y = -12 + 6 = -6

-6 is  equal to -6 as given in option, thus point (3,-6 ) does  lie on

 y = -4x + 6

(0, -6)

y = -4*0 + 6

y = 0 + 6 = 6

6 is not equal to -6 as given in option, thus point (0,-6 ) does not lie on

y = -4x + 6

(-2,2)

y = -4*-2 + 6

y = 8 + 6 = 14

14 is not equal to 2 as given in option, thus point (-2,2 ) does not lie on

y = -4x + 6

Thus, option  B. (3, -6) is the correct choice.

Answer:

11

Step-by-step explanation:

33.45 ÷ 3 = 11.15 but round it

(im not 100% sure but I hope this helps)

Answer:

x=-2

hope this helped

Answer:

70%

Step-by-step explanation:

42/60= 0.7 = 7/10 = 70%

Answer: 0.04122137404

If you want me to explain more please let me know :)

hi this is my first answer

a straight angle has 180°,

here your given angle is 60+60=120°

so your missing angle is 180-120=60°

Step-by-step explanation:

The missing angle is 60° (180 - 60 - 60=60)

Its name: equilateral triangle

Answer:

Step-by-step explanation:

15/3= 5

Orrrr

15/-3=-5

Answer:

22

Step-by-step explanation:

you are adding negative 10 so your number gets smaller

Traductor de español

¡Hola!

La pregunta le pregunta a Factor completamente 32 + -10. 32, un número positivo puede agregar a -10, un número negativo correctamente.

Respuesta: 22

Prueba: 32

               + -10

                ______

                     22

_____________________________________

English Translator

Hello!

The question asks Factor completely 32 + -10. 32, a positive number can add into -10, a negative number correctly.

Answer: 22

Proof:            32

               +   -10

                ______

                     22  

________________________________

Hey!!!

solution,

(-4ab - 5a +3)-(-7ab+9)

=-4ab -5a+3 + 7ab - 9

= -4ab+7ab-5a+3-9

= 3ab-5a-6

Hope it helps...

Good luck on your assignment

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