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3 years ago

Find the measure of w

Mathematics

1 answer:

Lelu [443]3 years ago

4 0

Answer:

w = √7

Step-by-step explanation:

Using the Pythagorean theorem, we find ...

r = √(1²+1²) = √2

s = √(1² +(√2)²) = √3

t = √(1² +(√3)²) = √4

u = √5

v = √6

w = √7

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Write the slope intercept form of the equation through the given point with the given slope.

Sholpan [36]

Answer:

y = 3x - 4

Step-by-step explanation:

With the slope and a point, I can make an incomplete slope-intercept equation and solve for the y-intercept.

$y=3x+b\\\\2=3(2)+b\\\\2=6+b\\\\2-6=6-6+b\\\\-4=b$

The equation is:

$y=3x-4$

Hope this helps!

6 0

3 years ago

The vertices of quadrilateral MNPQ are M(−3,−2),N(−1,4),P(2,4), and Q(4,−2). Translate quadrilateral MNPQ using the vector ⟨3,−4

muminat

Answer:

see explanation

Step-by-step explanation:

A translation using the vector < 3, - 4 > , means

Add 3 to the x- coordinate and subtract 4 from the y- coordinate, so

M (- 3, - 2 ) → M' (- 3 + 3, - 2 - 4 ) → M' (0, - 6 )

N (- 1, 4 ) → N' (- 1 + 3, 4 - 4 ) → N' (2, 0 )

P (2, 4 ) → P' (2 + 3, 4 - 4 ) → P' (5, 0 )

Q (4, - 2 ) → Q' (4 + 3, - 2 - 4 ) → (7, - 6 )

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=-3%5Csqrt%7B45y%C2%B3%7D" id="TexFormula1" title="-3\sqrt{45y³}" alt="-3\sqrt{45y³}"

GarryVolchara [31]

Answer:

-9A · √(5yA)

Step-by-step explanation:

The coefficient -3 stays the same.

45 factors into 5·9, which is helpful because 9 is a perfect square.

Thus, √45 = 3√5.

y cannot be factored. It stays under the radical.

A³ can be factored into A² (a perfect square) and A.

Thus,

-3√(45yA³) = -3 · 3√5 · √y · A · √A, or

= (-3)(3)(A) · √(5yA), or

= -9A · √(5yA)

4 0

3 years ago

If f(x) = 5x - 2, what is f(x - 1)? A. 5x - 2 B. 5x - 3 C. 5x + 1 D. 5x - 7

Agata [3.3K]

C 5x- i hope this helps you

6 0

3 years ago

Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up. What is the likelihood that her friend

melisa1 [442]

Answer:

1/2 or 0.5

Step-by-step explanation:

Within 1 to 6,

Even numbers are 2, 4, 6

While odd numbers are 1, 3, 5

Assuming cards are mixed up properly and the probabilities of drawing a card with any number from 1 to 6 is constant,

Probability of drawing even number cards = number of units of even number cards ÷ total number of units of cards from 1 to 6 aka total number of cards

= 3 / 6

= 1 / 2

4 0

3 years ago