Sandy went for a jog and completed 2 miles. How many yards did she jog?

Answer:

Step-by-step explanation:

[tex]2 {a}^{2} b + 6a {b}^{2} [/tex]

Factor out common term : 2ab

[tex] 2 {a}^{2}b \div 2a = a \\ 6a {b}^{2} \div 2ab = 3b \\ 2ab(a + 3b)[/tex]

[tex]2a^2b+6ab^2[/tex]

Perhaps, you mean 6ab² (If not please remind me.)

Factoring the polynomials can be done by pulling out the terms that can be divided by that terms.

For example, [tex]2x^2+4[/tex]    We can divide the whole polynomial by 2. Thus, we factor 2 out of the polynomial as we get [tex]2(x^2+2)[/tex] -- Factoring is like dividing, but instead - we pull them out.

Now let's get back to the question.

Notice that the polynomial can be divided by 2, a and b.

So we pull 2, a and b out of the polynomial and divide them.

[tex]\frac{2a^2b+6ab^2}{2ab}\\a+3b[/tex]

When dividing, we should get a + 3b.

Then we pull out 2ab outside the bracket.

[tex]2ab(a+3b)[/tex]

Thus, the answer is 2ab(a+3b)

Answer:

x = - 1, y = 1

Step-by-step explanation:

Given the 2 equations

2y + 7x = - 5 → (1)

5y - 7x = 12 → (2)

Adding the2 equations term by term will eliminate the term in x, that is

7y = 7 ( divide both sides by 7 )

y = 1

Substitute y = 1 into either of the 2 equationsand solve for x

Substituting into (1)

2(1) + 7x = - 5

2 + 7x = - 5 ( subtract 2 from both sides )

7x = - 7 ( divide both sides by 7 )

x = - 1

solution is x = - 1, y = 1

Answer:

ur x intership is (4) and ur y intership is (1)

Step-by-step explanation: its where the dots are or are u doing an equation?

Answer:

14 degrees.

Step-by-step explanation:

I am assuming that the 56 degree angle is at the centre of the circle.

The angle at the top in the circle = 1/2 * 56 = 28 degrees.

The reflex angle = 360 - 56 = 304 degrees.

If we draw a line from the vertex of the 56 degrees angle to the vertex of 28 degree angle we bisect the reflex angle and the 28  degree angle. Also the 2  triangles formed are congruent ( by SSS).

So x = 180 - 1/2 * 28 - 1/2 * 304

= 180 - 14 - 152

= 180 - 166

= 14 degrees.

Answer:

d brainest plz

Step-by-step explanation:

Answer:

A. A variable

Step-by-step explanation:

Answer:

Keep the ladder at a 66 degree angle of elevation at most.

Step-by-step explanation:

Hypotenuse is 20 feet

Adjacent side is 8 feet

We use inverse cosine to find the angle

arccos(8/20) = 66.4 deg

Answer:

3/2

Step-by-step explanation:

move the 3x to the other side and divide it by 2

Answer:

37.8

Step-by-step explanation:

Cannot determine the nature of roots.

The Nature of roots simply means the category in which the roots are falling upon. The roots may be imaginary, real, unequal or equal. If the discriminate is negative, the roots will be imaginary.

The nature of roots of quadratic equations (in the form ax^2 + bx +c=0) we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.

The Discriminant of a polynomial is a quantity that depends on the coefficients and allows deducing some properties of the roots without computing them. More precisely, it is a polynomial function of the coefficients of the original polynomial.

Given that ,

 b2 – 4ac

first we arrange terms in descending order -4ac + 2b

then find discriminant of quadratic equation :Δ =  4

Identify a, b, c through co-efficient:

a = 0

b= -4c

c = 2b

Substitute the value of a, b, c and calculate discriminant

([tex]b^{2} -[/tex] 4ac)

Δ = [tex]16c^{2}[/tex] determine number of solutions with discriminant:

Can't determine the nature of roots.

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Answer:

b=20 or b=-20

Step-by-step explanation:

Keep in mind the meanings of the values of the discriminant:

If b^2-4ac=0, then the quadratic will have only 1 solution (double root)

If b^2-4ac<0, then the quadratic will have no real solutions

If b^2-4ac>0, then the quadratic will have 2 unique solutions

In this case, to get one real solution, the discriminant must be set up as b^2-4ac=0. Setting up the equation we get:

b^2-4(4)(25)=0

b^2-400=0

b^2=400

b=20 or b=-20

So the values of b would have to be either 20 or -20

The values of b will cause 4x^2+bx+25=0 to have one real solution is -20 and 20

Given the quadratic equation [tex]4x^2+bx+25= 0[/tex], for this expression to have a real solution, the discriminant must be greater than zero

D > 0

b^2 - 4ac > 0

Given that a = 4, b = b, c = 25

b^2 - 4(4)(25) > 0

b^2 - 400 > 0

b^2 > 400

b > ±20

Hence the values of b will cause 4x^2+bx+25=0 to have one real solution is -20 and 20

Learn more on discriminant here: https://brainly.com/question/24730520

Answer:

x = -2

y = -10

( -2, -10)

Step-by-step explanation:

set them equal

5x = 9x + 8

subtract 9x

-4x = 8

divide by -4

x = -2

plug in x

y = 5(-2)

y = -10

The answer is: 8m=152

Answer:

c

Step-by-step explanation:

Answer:

y = -3x + 30

Step-by-step explanation:

First, find the slope using the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (9 - (-3)) / (7 - 11)

m = -12/4

m = -3

Next, find the y-intercept by substituding one of the two points into what the equation is so far:

y = -3x + b

(7, 9)

9 = -3(7) + b

9 = -21 + b

30 = b

Now you have the full equation:

y = -3x + 30

Answer:

We get the value of x: x = 3

Step-by-step explanation:

Point G lies between points F and H on Line segment F H.

Space between F and G = 4x

Space between G and H = 2x

Length of FH = 18

We need to find value of x.

As point G lies between point F and H, sum of FG and GH will give FH, we can write

[tex]FG + GH = FH[/tex]

Putting values to make equation

[tex]4x + 2x = 18[/tex]

Now, solving the equation we can find value of x

[tex]4x + 2x = 18 \\6x=18\\x=\frac{18}{6}\\x=3[/tex]

So, we get the value of x: x = 3

Answer:

dlfkv

Step-by-step explanation:

Answer:

r = -1

Step-by-step explanation:

-6 + 4r = 2(r - 4)

-6 + 4r = 2r - 8

+6 +6

4r = 2r - 2

-2r -2r

2r = -2

/2 /2

r = -1

hope this helps

Answer: 6 bags

Step-by-step explanation:

     We will divide the total amount [3/4 pounds] by the amount per bag [1/8 pound] to find how many bags he can make.

    After writing the problem, we will use "Keep, change, flip" (Keep the first fraction, change to multiplication, flip the second fraction).

[tex]\displaystyle \frac{3}{4}\ \text{pounds} \div \frac{1}{8} \ \text{pounds}[/tex]

[tex]\displaystyle \frac{3}{4}\ \text{pounds} * \frac{8}{1} \ \text{pounds}[/tex]

[tex]\displaystyle \frac{3*8\ \text{pounds}}{4*1\ \text{pounds}}\[/tex]

[tex]\displaystyle \frac{24}{4}\[/tex]

6 bags

The following cases for the solutions of a system of linear equations are listed below:

In this problem we find the case of a system of linear equations with two variables, of which we must determine the nature of its dependent constants for the following three cases:

The implicit form of this system is shown below:

a · x - y = - b                (1)

c · x - y = - d                (2)

According to the linear algebra, a system of linear equations has no solutions if the determinant of the matrix of dependent coefficients is equal to zero. Then, by Cramer's law we find that:

a - c = 0

a = c

Therefore, the system of linear equations has no solutions for a = c.

Also by linear algebra, we know that the two linear equations have infinite solutions if and only if both equations are multiples of each other, then:

a · x - y + b = k · (c · x - y + d)

a · x - y + b = (k · c) · x - k · y + (k · d)

The system has infinite solutions when a = k · c and b = k · d.

Then, the system has only one solution if and only if a ≠ k · c and b ≠ k · d.

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Answer:

3

Step-by-step explanation:

I think ttttttttttttttttttttt

Answer:

C

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the 2 other sides, that is

x² + 6² = 17²

x² + 36 = 289 ( subtract 36 from both sides )

x² = 253 ( take the square root of both sides )

x = [tex]\sqrt{253}[/tex] → C

Answer: is 10

Step-by-step explanation:input :

Changes made to your input should not affect the solution:

(1): "3.4" was replaced by "(34/10)". 4 more similar replacement(s)

STEP

1

:

17

Simplify ——

5

Equation at the end of step

1

:

89 14 65 17

((——-(——•x))+(——•x))+——

10 10 10 5

STEP

2

:

13

Simplify ——

2

Equation at the end of step

2

:

89 14 13 17

((——-(——•x))+(——•x))+——

10 10 2 5

STEP

3

:

7

Simplify —

5

Answer:

words are big and if words are big am I small

Answer:

d

Step-by-step explanation:

5 =5v^+^

Answer:

she will need one box to make one gallon. If the question is correct, she will ned one box.

Step-by-step explanation:

Answer:

Because they both have 65 degree angles and are both triangles

Step-by-step explanation:

Answer:

because they have the same bottom degrees

Step-by-step explanation:

-12 * 4= 48 and -12+4= -8