All categories

2 years ago

The diagram shows a triangle. What is the value of w?

Mathematics

2 answers:

sergiy2304 [10]2 years ago

6 0

The value of a from the triangle above is 63

marshall27 [118]2 years ago

5 0

Answer:

63-degrees

Step-by-step explanation:

triangle = 180 degrees

46 + 71 + w = 180

117 + w = 180 *subtract 117 from both sides*

w = 63

You might be interested in

Find the slope of the line through the points (-4, 3) and (3, 5)

lukranit [14]

Use the formula y2 -y1/x2-x1

3 0

2 years ago

Read 2 more answers

The function g is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function? Choos

koban [17]

Answer:

C. $g(x) = -2 \cdot (x + 1)\cdot (x+7)$

Step-by-step explanation:

The polynomial form that reveals most quickly the zeroes is the form of a product of binomials. That is:

$g(x) = \Pi\limits_{i=1}^{n} (x-r_{i})$

Where $\Pi$ is the product function and $r_{i}$ is the i-th root of the polynomial.

Hence, $g(x) = -2 \cdot (x + 1)\cdot (x+7)$ resembles a form that is close to the form described above. The right option is C.

8 0

2 years ago

Using a table of values, what is the approximate positive solution to the equation to the nearest quarter of a unit? f(x)=log(x+

torisob [31]

Answer:

The answer is 0.25 for plato/edmentum users

Step-by-step explanation:

The x-intercept/zero for function f is x= -1 and the x-intercept/zero for function g is x= 0, therefore, the closest positive value out of the options is 0.25 sense the problem wants the functions to equal around the same value. Tbh I suck at math and idek if my explanation is right I really just guessed on the problem. Here's a ss for proof that my answer's right tho lol p.s. if ur 15-19 amos: kenz8124 Have a great day :)

6 0

2 years ago

Please help me asap due today

Anastaziya [24]

Answer:

Choice D

Step-by-step explanation:

Since it is a straight one line, the y-intercept (3) stays the same. For the x, it changes so you will have to add both x intercept (2 and 10) and divide by 2. So that gives 12/2 =6 (the x intercept), and since it's one straight line the y intercept remains the same (3)

5 0

2 years ago

Read 2 more answers

Determine whether f(x) =3x^2+9x-2 has a maximum of a minimum value and find that value by hand.

xenn [34]

f(x) =3x^2+9x-2 has a minimum value. Minimum value of f(x) is $\frac{-35}{4}$

<u>Solution:</u>

Given, equation is $f(x)=3 x^{2}+9 x-2$

We have to find whether given equation has maximum or minimum for the given equation.

Now, we know that, f(x) is a quadratic equation and coefficient has $x^2$ is positive, then its graph is upward parabola. Which means that it will have minimum

The minimum value upward parabola will be its vertex.

So, let us convert f(x) into general form. That is,

$f(x)=a(x-h)^{2}+k$

where a is constant and (h, k) is vertex

$\text { Now }_{,} f(x)=3 x^{2}+9 x-2$

$\text { Adding and subtracting } \frac{27}{4} \text { for easier calculations }$

$f(x)=3 x^{2}+9 x+\frac{27}{4}-\frac{27}{4}-2$

Taking "3" as common from first three terms,

$f(x)=3\left(x^{2}+3 x+\frac{9}{4}\right)-\frac{27}{4}-2$

Now multiply and divide “2” with “3x” for easier calculations

$f(x)=3\left(x^{2}+2 \times \frac{3}{2} \times x+\left(\frac{3}{2}\right)^{2}\right)-\frac{27+2 \times 4}{4}$

$\begin{array}{l}{\text { By using }(a+b)^{2}=a^{2}+2 a b+b^{2}, \text { we get }} \\\\ {\left(x^{2}+2 \times \frac{3}{2} \times x+\left(\frac{3}{2}\right)^{2}\right)=\left(x+\frac{3}{2}\right)^{2}}\end{array}$

$f(x)=3\left(x+\frac{3}{2}\right)^{2}-\frac{35}{4}$

So, by comparison with general form we get,

$\mathrm{h}=-\frac{3}{2} \text { and } \mathrm{k}=\frac{-35}{4}$

$\text { Here, }(\mathrm{h}, \mathrm{k})=(\mathrm{x}, \mathrm{f}(\mathrm{x}))=\left(\frac{-3}{2}, \frac{-35}{4}\right)$

$\text { So, minimum value of } f(x) \text { is } \frac{-35}{4}$

5 0

2 years ago