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faltersainse [42]
3 years ago
12

Find x and y plz help :(

Mathematics
2 answers:
Zolol [24]3 years ago
6 0
D :) i’m just here for the points
liraira [26]3 years ago
5 0

Answer:

D. x = 5.4, y = 6.67

Step-by-step explanation:

The triangles are similar as per problem description, so the ratios match:

y/5 = 4/3

x/3 = 9/5

let's solve:

y/5 = 4/3

3y/5 = 4

3y = 20

y = 6.(6)

x/3 = 9/5

5x/3 = 9

5x = 27

x = 5.4

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What is the value of x for the equation 2^5 ∙ 2^x = 2^8
netineya [11]

Answer:

x=3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the area of triangle GHJ
EastWind [94]
A = 1/2 bh = 1/2 (3)(4) = 12/2 = 6

answer is B. 6 square units
4 0
3 years ago
For her exercise today, Keiko plans to both run and swim. Let r be the number of laps she runs and let s be the number of laps s
DerKrebs [107]

Answer:

5r + 3s ≥ 30

Step-by-step explanation:

We know Keiko wants to do exercise at least 30 minutes a day, and she wants ideally to mix up the activities, by combining running and swimming into her schedule.

Since each lap she runs takes 5 minutes and each lap she swims takes 3 minutes, these will be the left side of the inequality:

5r + 3s

She wants to exercise at least 30 minutes a day, so...

5r + 3s ≥ 30

she could do 3 laps of running and 5 laps of swimming for example.

6 0
3 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
liam had $250 then he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them.
Delvig [45]

Answer:

$10

Step-by-step explanation

Liam has $10 left for himself. Simply divide $240 by the 24 kids and you get $10 as your total. Thsi is what I could get as the answer since the price of the gift was'nt included.

4 0
3 years ago
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