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3 years ago

I need to know How do I find ab?

Mathematics

1 answer:

Ludmilka [50]3 years ago

6 0

The angle is called an hypotenuse and to find it just use the Pythagorean Theorem which states a squared+b squared= c squared, does this answer your question or do you need more help?

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Rick is on a bicycle trip. Every 444 days he bikes 230 \text{ km}230 km230, space, k, m.If Rick keeps this same pace for 161616

Katarina [22]

For this problem, we use the approach of ratio and proportion. Assuming that the given ratio of 444 days per 230 km is constant all throughout, we can determine the number of days or distance as long as one of the two is given. In this case, the solution is as follows:

444 days/230 km = 161616 days/distance
Distance = 83,720 km

4 0

3 years ago

Which number is not a perfect square?<br> A. 4<br> B. 9<br> C. 111<br> D. 81

Paladinen [302]

Answer:

C 111

Step-by-step explanation:

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2 years ago

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the slope of a graphed line is 2/3 and the y-intercept is (0,4) what is the slope-intercept equation of the line

Margaret [11]

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3 years ago

Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : $R_{90} (x,y)=(-y,x)$

5. Rotation of 180° : $R_{180} (x,y)=(-x,-y)$ .

6. Rotation of 270° : $R_{180} (x,y)=(y,-x)$ .

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is $R_{90} (x,y)=(-y,x)$ .

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is $R_{180} (x,y)=(-x,-y)$ .

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is $R_{180} (x,y)=(y,-x)$ .

5 0

3 years ago

Ume

katrin2010 [14]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x + 2y = 10 → (1)

2y² - 7y + x = 0 → (2)

Rearrange (1) expressing x in terms of y by subtracting 2y from both sides

x = 10 - 2y → (3)

Substitute x = 10 - 2y into (2)

2y² - 7y + 10 - 2y = 0

2y² - 9y + 10 = 0 ← in standard form

(y - 2)(2y - 5) = 0 ← in factored form

Equate each factor to zero and solve for y

y - 2 = 0 ⇒ y = 2

2y - 5 = 0 ⇒ 2y = 5 ⇒ y = $\frac{5}{2}$

Substitute these values into (3) for corresponding values of x

y = 2 → x = 10 - 4 = 6 ⇒ (6, 2 ) → B

y = $\frac{5}{2}$ → x = 10 - 5 = 5 ⇒ (5, $\frac{5}{2}$ ) → A

8 0

2 years ago