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2 years ago

A spinner and 6 cards are shown below:

Mathematics

1 answer:

Tems11 [23]2 years ago

3 0

Answer:

1 over 18

Step-by-step explanation:

The spinner has 3 segments and he spun it 1 time. So, he has a 1 in 3 chance of landing on green.

There are 6 cards so he has a 1 and 6 chance of picking up the yellow card.

Multiply those and you have 1 over 18

Done!

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OAA', OBB', and OCC' are straight lines. Triangle ABC is mapped onto Triangle A'B'C' by an enlargement with center O. What is th

bazaltina [42]

Answer:

(D) 2

Step-by-step explanation:

The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC

Therefore, we have;

$The \ scale \ factor = \dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}}$

$\dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{2 \ units}{1 \ unit} = 2$

$\dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{4 \ units}{2 \ units} = 2$

$\dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}} = \dfrac{2 \cdot \sqrt{5} \ units}{\sqrt{5} \ units} = 2$

Therefore, the scale factor = 2

6 0

2 years ago

Which graph shows a proportional relationship between x and y?

KiRa [710]

Answer:

i think your answer would number 1 or number 4

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Subtract the quotient of 15 ÷ 3 from the sum of 33 and 7.

Tems11 [23]

$15:3=5\\33+7=40\\\\33+7-15:3=40-5=\fbox{35}\leftarrow answer\ \boxed{C}$

6 0

3 years ago

Read 2 more answers

The graph represents the function f(x) = x2 + 3x + 2. If g(x) is the reflection of f(x) across the x-axis, g(x) = . (Write the f

Tanya [424]

Answer:

g(x) = - (x² + 3x + 2) = - x² - 3x - 2

Step-by-step explanation:

The graph represents the function f(x) = x² + 3x + 2.

Now, g(x) is the function which is obtained by reflecting f(x) across the x-axis.

While a graph of a function reflects across x-axis then its y-values will change sign for a fixed value of x.

Therefore, the function g(x) will be given by

g(x) = - (x² + 3x + 2) = - x² - 3x - 2 (Answer)

7 0

2 years ago

Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9

a_sh-v [17]

Answer:

x = 3 and x = -7

Step-by-step explanation:

The given quadratic equation is $x^2+4x-21=0$ . We need to find the solution of this equation.

If the equation is in the form of $ax^2+bx+c=0$ , then its solutions are given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here, a = 1, b = 4 and c = -21

Plugging all the values in the value of x, such that :

$x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a},\dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)},\dfrac{-4- \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)}\\\\x=3, -7$

So, the solutions of the quadratic equation are 3 and -7.

6 0

2 years ago