What is the sum of the polynomials (-x^2 +9) + (-3x^2

Each car on the lot at a car dealership has 4 tires and 2 headlights. Which pair correctly describes tires and headlights?

ira [324]

Answer: 4 : 2

Step-by-step explanation:

I am going to assume you want a ratio between number of tires to headlights which is

4 : 2

4 0

2 years ago

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Choose the graph below that has an undefined slope.

Ronch [10]

Answer:

The correct option is A.

Step-by-step explanation:

The first line passing through the points (-6,2) and (-6,0).

The slope of a line is

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of first line is

$m_1=\frac{0-2}{-6-(-6)}=\infty$

The second line passing through the points (0,-4) and (-1,1). The slope of second line is

$m_2=\frac{1-(-4)}{-1-0}=-5$

The third line passing through the points (0,-6) and (2,-6). The slope of third line is

$m_3=\frac{-6-(-6)}{2-0}=0$

The fourth line passing through the points (0,6) and (-3,-7). The slope of fourth line is

$m_4=\frac{-7-6}{-3-0}=\frac{13}{3}$

Since the slope of a vertical line is infinity, Therefore option A is correct.

8 0

3 years ago

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Are this two triangles similar?

Alex73 [517]

<h3>Answer: </h3><h3>Yes, the triangles are similar</h3><h3>AC = 6</h3>

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Explanation:

Focus on triangle ABC. Let's find the missing angle

A+B+C = 180

113+B+22 = 180

B+135 = 180

B = 180-135

B = 45

Between the triangles, have two pairs of angles that are congruent

A = D = 113

B = E = 45

Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22

Since we have A pair with D, and B pair with E, this means that $\triangle ABC \sim \triangle DE F$

The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.

Consequently, this means sides BC and EF pair up and AC and DF pair up

We can then say...

BC/EF = AC/DF

18/12 = x/4

18*4 = 12*x

72 = 12x

12x = 72

x = 72/12

x = 6

AC = 6

5 0

3 years ago

Find the axis of symmetry for this parabola: <br><br> y=-5x^2-10x-13

Dmitry [639]

Answer:

x=1

Step-by-step explanation:

1. Complete the square on the right side of the equation.

5 ( x − 1 )2 − 18

2. Use the vertex form, y = a ( x − h ) 2 + k , to determine the values of a , h , and k . a= 5 h = 1 k = − 18

3. Since the value of a is positive, the parabola opens up.

Opens Up

4. Find the vertex ( h , k ) . ( 1 , − 18 )

5. Find p , the distance from the vertex to the focus.

1 /20

6. Find the focus.

7. ( 1 , − 359/ 20 )

8. Find the axis of symmetry by finding the line that passes through the vertex and the focus.

ANSWER: x = 1

6 0

3 years ago

Find the greatest common factor of the following monomials: u3v6 u6v2

7nadin3 [17]

Answer:

1 2 3 1

Step-by-step explanation:

To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together. Bam!

3 0

3 years ago

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What is the sum of the polynomials (-x^2 +9) + (-3x^2 - 11x + 4)