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3 years ago

Consider the figure. Determine the value of y.

Mathematics

1 answer:

slava [35]3 years ago

6 0

Answer:

47+ y = 180 (linear pair)

y = 133

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A number w increased by 6 is at least 24. Using an inequality

Mekhanik [1.2K]

Answer:

x<24

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve the following quadratic equations by any method. The solutions are:

Nataly_w [17]

Answer:

Option C .

Step-by-step explanation:

We would like to solve the below quadratic equation ,

$\longrightarrow f(x) = x^2-12x +32$

Step 1 : Equate f(x) with 0 :-

$\longrightarrow f(x) = 0\\$

$\longrightarrow x^2-12x + 32=0$

Step 2 : Factorise the RHS :-

$\longrightarrow x^2-8x - 4x +32=0\\$

$\longrightarrow x(x-8)-4(x-8)=0\\$

$\longrightarrow (x-8)(x-4)=0\\$

Step 3 : Equate each factor with 0 :-

$\longrightarrow x - 8 = 0\\ \qquad x -4=0$

$\longrightarrow x = 8 \qquad x = 4$

$\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}$

Hence option C is correct .

8 0

2 years ago

150 pounds shared into the ratio of 4:1

V125BC [204]

$\begin{cases}x+y=150\smallskip\\\dfrac{x}{y}=\dfrac{4}{1}\end{cases}\Leftrightarrow\begin{cases}x+y=150\smallskip\\x=4y\end{cases}\Leftrightarrow\begin{cases}5y=150\smallskip\\x=4y\end{cases}\Leftrightarrow\begin{cases}y=30\smallskip\\x=120\end{cases}$

$150=120+30$

4 0

3 years ago

Simplify: -3^2+8÷2×4-|-9|

NNADVOKAT [17]

Follow the order of operations. Evaluate absolute value first.
-3^2+8/2*4-9

Then evaluate exponents
9+8/2*4-9

Then evaluate multiplication and division from left to right
9+4*4-9
9+16-9

Then evaluate addition and subtraction from left to right
25-9
16

Final answer: 16

8 0

3 years ago

which of the following is the equation of the line that passes though the point (-2,1) and has a slope of 4

Ierofanga [76]

An equation that goes through (-2, 1) and has a slope of 4 is y = 4x + 9.

You can find this by looking for the y-intercept (b) by using the slope (m), the point and slope intercept form. The work is below for you.

y = mx + b

1 = 4(-2) + b

1 = -8 + b

9 = b

Now we can use that and the slope to create the equation y = 4x + 9

4 0

4 years ago

Consider the figure. Determine the value of y.​

Consider the figure. Determine the value of y.