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puteri [66]
3 years ago
9

In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)

Mathematics
1 answer:
baherus [9]3 years ago
8 0

Answer:

9.434 units

Step-by-step explanation:

Given data

points (5,4) and (-3,-1)

x1= 5

y1= 4

x2= -3

y2= -1

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-3-5)²+(-1-4)²)

d=√((-8)²+(-5)²)

d=√64+25

d=√89

d=9.4339

d= 9.434 units

Hence the distance between the points is 9.434 units

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Simplify the rational expression by rationalizing the denominator √15/√6x
noname [10]

Answer:

√10/2x

Step-by-step explanation:

Multiply by √6 on the top and bottom to rationalize the denominator.

(√15×√6)/(√6x×√6) = √90/6x = (√9×√10)/6x = 3√10/6x = √10/2x

4 0
3 years ago
Which of the following is NOT true? Question 19 options: (3x2y5)3=27x6y15 (1000x12y20z−3)0=1 52‾‾√3=523 42×43= 165
bixtya [17]

Answer:


Step-by-step explanation:

Lets try to simplify each to check which one is incorrect so it will be NOT true

first one is :

distribute the exponent so :

(3x^2y^5)^3 =3^3x^{2*3}y^{5*3}

27x^6y^{15} CORRECT

Second one is :

(1000x^{12}y^{20}z^{-30})^{0} =1

CORRECT because anything raised to exponent 0 is 1 .

Last one is :

4^2 *4^3 = 4^{2+3}\\=4^{6}\\=(4)^{2*3}\\=16^{3}

so Last is<em> INCORRECT</em>



5 0
3 years ago
What is f(x)•g(x)?<br> f(x) = 2–2x+1<br> g(x) = 2x+1
Arada [10]

Answer:

fx

Step-by-step explanation:

just did it

5 0
3 years ago
i’ll give a brainliest please just help !!!!!
nignag [31]

Answer:

which numbers do you need to know

Step-by-step explanation:

4 0
3 years ago
Lindsay is creating a bridge out of dried pasta and glue. In her plans, she sketches the graph to determine the lengths of the n
alexgriva [62]
From the graph shown it can be seen that the bridge is represented by a parabola with vertex of (5, 8) and roots of 1 and 9.

Recall that the vertex form of the equation of a parabola with vertex (h, k) is given by
y=a(x-h)^2+k

Thus, the equation of the given graph in vertex form is given by
y=a(x-5)^2+8

Also, recall that the equation of a parabola with roots, p and q, is given by
y=a(x-p)(x-q)

Thus the equation of the given graph can be given by
y=a(x-1)(x-9)

To get the value of a, we equate both equations and solve as follows:
a(x-5)^2+8=a(x-1)(x-9) \\  \\ a(x^2-10x+25)+8=a(x^2-10x+9) \\  \\ ax^2-10ax+25a+8=ax^2-10ax+9a \\  \\ 25a-9a=-8 \\  \\ 16a=-8 \\  \\ a=- \frac{8}{16} =- \frac{1}{2}

Therefore, the <span>function that Lindsay used to create her design is
f(x)=-0.5(x-5)^2+8
</span>
4 0
3 years ago
Read 2 more answers
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