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3 years ago

Distance between two points (−5,−5) and (-9, -2)

Mathematics

1 answer:

sergey [27]3 years ago

8 0

Answer: 5

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5

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Please help me asap!

Firdavs [7]

Answer:

Option d) 115 degrees

Step-by-step explanation:

We are given a trapezium ABDE in the picture. AB and ED are the parallel sides.

F is the mid point of AE and C the midpoint of BD. FC is joined.

We are also given that angle of AED = 65 degrees.

To find the measure of angle BAE.

Since sides AB and ED are parallel sides we find that AE is the transvesal intersecting the two parallel lines.

Hence by parallel lines axiom, the two interior angles namely Angle AED and BAE are supplementary.

i.e. 65 +angle BAE=180

Hence angle BAE = 115 degrees.

Option d is the answer.

7 0

3 years ago

Write as a complete number.

KatRina [158]

-9/4 - 4i is your answer. B

7 0

3 years ago

Segment CD has endpoints (-4, 3) and (8, -1). Find the coordinates of the point that divides the line segment directed from C to

Diano4ka-milaya [45]

Answer:

$A(0.8,\ 1.4)\ \text{or }\ A\left(\dfrac{4}{5},\dfrac{7}{5}\right)$

Step-by-step explanation:

If point $A(x,y)$ divides the segment with endpoints $C(x_1,y_1)$ and $D(x_2,y_2)$ in the ratio $m:n,$

then

$x=\dfrac{nx_1+mx_2}{m+n}\\ \\y=\dfrac{ny_1+my_2}{m+n}$

In your case,

$C(-4,3)\\ \\D(8,-1)\\ \\m:n=2:3$

then

$x=\dfrac{3\cdot (-4)+2\cdot 8}{2+3}=\dfrac{-12+16}{5}=\dfrac{4}{5}=0.8\\ \\y=\dfrac{3\cdot 3+2\cdot (-1)}{2+3}=\dfrac{9-2}{5}=\dfrac{7}{5}=1.4$

Thus,

$A(0.8,\ 1.4)\ \text{or }\ A\left(\dfrac{4}{5},\dfrac{7}{5}\right)$

3 0

3 years ago

If f(x) = 4x and g(x) = x^3, then what is f(g(x))?

kompoz [17]

Answer:

f(g(x)) = 4x³

Hence, option C is true.

Step-by-step explanation:

Given

$f(x) = 4x$

$g\left(x\right)\:=\:x^3$

Determine:

f(g(x)) = ?

solving the f(g(x))

f(g(x)) = f(x³)

= 4x³

Therefore,

f(g(x)) = 4x³

Hence, option C is true.

8 0

3 years ago

Please hurry and help ill give brainy

ryzh [129]

Answer:

Step-by-step explanation:

5/2 for every 2.5 skiers one snowboarder rides

[A] 2.5 skiers to one snowboarder

[B] $\frac{1}{2.5} = \frac{?}{210}$

210=2.5*x divide both sides by 2.5

x=84

[C] 84 snowboarders rode at the same time as 210 skiers

4 0

4 years ago