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jenyasd209 [6]
3 years ago
8

1.) Distance formula FIND THE DISTANCE BETWEEN THE PAIR OF POINTS

Mathematics
1 answer:
Vadim26 [7]3 years ago
3 0

Answer:

A(x1,y1) and B(x2,y2)

Step-by-step explanation:

you take two points your start and your stop and put them into the equations and solve

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In XYZ, mX=90 and mY=30.In TUV,mU= 30 and mV=60. Which is true about the two triangles? XYZ=TUV, XYZ= VUT,No congruency statemen
Flauer [41]

Answer:

No congruency statement can be made because the side length are unknown.

Step-by-step explanation:

The sum of the measures of all interior angles in a triangle is always 180°.

In triangle XYZ,

m\angle X=90^{\circ}\\ \\m\angle Y=30^{\circ},

then

m\angle X+m\angle Y+m\angle Z=180^{\circ}\Rightarrow m\angle Z=180^{\circ}-90^{\circ}-30^{\circ}=60^{\circ}

In triangle TUV,

m\angle U=30^{\circ}\\\\m\angle V=60^{\circ},

then

m\angle T+m\angle U+m\angle V=180^{\circ}\Rightarrow m\angle T=180^{\circ}-30^{\circ}-60^{\circ}=90^{\circ}

We have two triangles with congruent angles but we have no information about side lengths. Therefore, can not be made because the side length are unknown. Correct option is last option.

6 0
3 years ago
Read 2 more answers
Find the area of the largest rectangle (with sides parallel to the coordinate axes) that can be inscribed in the region enclosed
garik1379 [7]
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards. 
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards. 
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x. 
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
 => Area, A 
= 2x (y1 - y2) 
= 2x (18 - x^2 - 2x^2 + 9) 
= 2x (27 - 3x^2) 
= 54x - 6x^3 
For area to be maximum, dA/dx = 0 and d²A/dx² < 0 
=> 54 - 18x^2 = 0 
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants) 

d²A/dx² = - 36x < 0 for x = √3 
=> maximum area 
= 54(√3) - 6(√3)^3 
= 54√3 - 18√3 
= 36√3. 
4 0
3 years ago
How many thousands are in 327,412?
Alexxandr [17]

Answer:

327

Step-by-step explanation:

In the thousands cateragory of the number lies the numbers 327 giving you your answer

8 0
3 years ago
Use the picture provided to figure out the combination.
AlladinOne [14]

Answer:

4223?

Step-by-step explanation:

i need morw context

4 0
2 years ago
Molly read 50 out of the 200 pages in her fiction book. Joel is also reading a fiction book, but his book has 280 pages in total
katrin [286]

Answer:

x = 70

Step-by-step explanation:

Given

Molly: 50 out of 200

Joel: x out of 280

Required

Find x

Start by representing the giving parameters as ration

Molly= 50 : 200

Joel = x : 280

From the question, the ratios are equivalent. So,

50 : 200 = x : 280

Convert to fractions

\frac{50}{200} = \frac{x}{280}

Solve for x

x = \frac{50}{200} * 280

x = \frac{1}{4} * 280

x = \frac{280}{4}

x = 70

5 0
2 years ago
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