Graph the circle defined by the equation (x + 7)2 + (y – 5)2 = 4.

32 km/h

Step-by-step explanation:

Davit's Train travels at 108 km/h

Mila's train travels at 140 km/h

140-108=32

Therefore the difference in their average speed is 32 km/h

Answer:

As the opposite angles of a cyclic quadrilateral, A is supplementary with C and B is supplementary with D.

In the trapezoid,  angle A is supplementary with D and angle B is  supplementary with C.

It means ∠A ≅ ∠B and ∠D ≅ ∠C

Now, ∠ABD ≅ ∠ACD as both angles intercept same arc AD.

So we have:

So angles B and A are 107° and angles D and C are 73°

PXR is exterior angle of triangle XSR.

Angles Q and S are supplementary as opposite angles of a cyclic quadrilateral QPSR.

Answer:

Hope it helps

Option (C) is correct answer

Answer:

x= -2, -3

Step-by-step explanation:

I think you meant x^2+5x+6

(x+2)(x+3)

x= -2,-3

Answer:

=51.63 m^2

Step-by-step explanation:

First find the area of the triangle

A = 1/2 bh = 1/2(3) * 5 = 7.5

Then find the area of the rectangle

A = l*w = 5*6 = 30

Then find the area of the semi circle, which is 1/2 the area of the circle

The diameter is 6 so the radius is 3

A = 1/2  pi r^2 = 1/2 (3.14) (3) ^2 = 14.13

Add the areas together for the total area

7.5+30+14.13

=51.63

Answer:

6, 5, 4

Step-by-step explanation:

Midpoint is exactly half so it would be half the value of triangle ABC's value

12/2=6

10/2=5

8/2=4

Answer:

(a) -9 and 4

(b) 5 and 4

(c) -6 and 6

(d) 19 and -1

integers r numbers like 1, 2, 3, -3, -1, etc. basically they cannot have decimals or fractions or anything weird, they r whole numbers that can be negative or positive.

Answer:

1050 people

Step-by-step explanation:

if there are x people at a conference

then 40% of x = 420

40% can be written as 40/100 --> 4/10 --> 2/5

2/5 * x = 420

x = 420 * 5/2

x = 1050

Answer:

[tex]g(x)=x^2+6[/tex]

Step-by-step explanation:

Hi there!

We're given [tex]f(x)=x^2[/tex], and that [tex]g(x)[/tex] is a translation of [tex]f(x)[/tex] 6 units up.

This means that [tex]g(x)=f(x)+6[/tex].

[tex]g(x)=f(x)+6[/tex]

Rewrite the equation

[tex]g(x)=x^2+6[/tex]

This would be our final equation. It does not look like the form [tex]a(x-h)^2+k[/tex], However, when rewritten as [tex]g(x)=1(x-0)^2+6[/tex], we can tell clearly that it is.

I hope this helps!

Answer:

D. it is the point where the three angle bisectors of the triangle intersect.

Step-by-step explanation:

Because in geometry the incenter of a triangle is deliberated as the center of a triangle.

Answer:

1 meter

Step-by-step explanation:

Previous spot of the eagle = 9 meters below him

Present spot of the eagle = 8 meters below him

What is the difference from earlier to now?

Diffetence in the spotting = Earlier position - present position

= 9 meters - 8 meters

= 1 meter

Answer:

the second one from top coz it is pointed on 2 so dollar 2

Answer:

Option D

Step-by-step explanation:

Alternate Interior angles are angles that are on the opposite sides of the transversal line (which is the line that cuts across the two parallel lines) and are on the inside of the two parallel lines which in this case is Option D.

Answer:

6 3/10 box

Step-by-step explanation:

7/10 box * 9 = 63/10 box = 6 3/10 box

Answer:

one

Step-by-step explanation:

If two lines are not parallel, they will intersect one time as shown by the graph given.

Where the two graphs intersect is the solution to the system.

Answer:

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

y = kx+b

Most people write this

y = mx+b where m is the slope and b is the y intercept

Answer:

3) 16π cm²

4) 240.625 cm²

Step-by-step explanation:

3. For this problem I'm going to use the formula Area = π × r²

To start off, I'm going to input our value of radius which is 4cm.

π × 4²

Finally, I'm going to square our value "4"

16π cm²

(I'm going to "leave my answer in terms of π" as the problem states but if you need the complete answer it would be about 50.24 cm²

4. For this problem I'm going to use the formula Area = π × (d/2)²

To begin, I will divide our diameter by 2 to find the radius.

17.5/2 = 8.75

Next, we are going to square our now, radius.

8.75² = 76.5625

Now, we have to multiply our squared radius by π (in this problem it states to use 22/7, so that's what we'll do :)

76.5625 × 22/7 = 240.625 cm²

So! This is our final answer!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

given function has 2 minimums - [tex]\frac{9}{4}[/tex]  and  [tex]\frac{9}{4}[/tex]  

Step-by-step explanation:

Step 1. g'(x) = 4x³ - 10x

Step 2. Find find the critical points:

4x³ - 10x = 2x(2x² - 5) = 0

[tex]x_{1}[/tex] = - [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]x_{2}[/tex] = 0 , [tex]x_{3}[/tex] = [tex]\sqrt{\frac{5}{2} }[/tex]

Step 3. g'(x) > 0 :  - [tex]\sqrt{\frac{5}{2} }[/tex] < x < 0  or  x > [tex]\sqrt{\frac{5}{2} }[/tex]

g'(x) < 0 :   x < - [tex]\sqrt{\frac{5}{2} }[/tex]   or   0 < x < [tex]\sqrt{\frac{5}{2} }[/tex]

Step 4.

If x ∈ ( - ∞ , - [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;

If x = - [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;

If x ∈ ( - [tex]\sqrt{\frac{5}{2} }[/tex] , 0 ) , g(x) is increasing ;

If x = 0 , g(x) has maximum value ;

If x ∈ ( 0 , [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;

If x = [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;

If x ∈ ( [tex]\sqrt{\frac{5}{2} }[/tex] , ∞ ) , g(x) is increasing .

⇒ at ( - [tex]\sqrt{\frac{5}{2} }[/tex] , - [tex]\frac{9}{4}[/tex] ) and at ( [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]\frac{9}{4}[/tex] ) , g(x) reaches its minimum

Answer:

EX = 51

Step-by-step explanation:

The 3 intersecting lines in the triangle are medians.

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, that is

EJ = 2 JX = 2 × 17 = 34 , then

EX = EJ + JX = 34 + 17 = 51

Answer:

No, P(high school | GPA above 3.0) ≠ P(high school)

Step-by-step explanation:

Given

See attachment for table

Required

Determine if High school and GPA above 3.0 are independent

Let

[tex]H \to[/tex] High school

[tex]G \to[/tex] GPA above 3.0

For both events to be independent, the following must be true

[tex]P(H\ |\ G) = P(H)[/tex]

From the table:

[tex]P(H) = \frac{H}{Total}[/tex]

[tex]P(H) = \frac{60}{100} = 0.60[/tex]

[tex]P(H | G) = \frac{H\ n\ G}{G}[/tex]

[tex]P(H | G) = \frac{14}{40} = 0.35[/tex]

The test for independence is as follows:

[tex]P(H\ |\ G) = P(H)[/tex]

By comparison

[tex]P(H\ |\ G) \ne P(H)[/tex]

i.e.

[tex]0.35 \ne 0.60[/tex]

Hence, both events are not independent

Answer:

The mistake was minus sign before the 15 and putting 15x² instead of 15x³.

The correct answer is:

[tex]-5x^{2} (3x-4)\\ = -15x^{3} + 20x^{2}[/tex]

Answer:

c)( 7x+3)/4

Step-by-step explanation:

c) (7x+3)/4

Answer:

$1.25

Step-by-step explanation:

2 × $1 = $2

4 × 1 = 4

1 × 1 = 10

$2 + 4 + 10

$2.14

$2.14 - $0.89

$1.25

Answer:

x=56 degrees

Step-by-step explanation:

the triangles are similar and the two curves match up which mean congruent so the angels are congruent

Answer:

You can manipulate both equations into y = mx + b format and end up with the same result of y = 1.2x + 1.4

Step-by-step explanation:

y + 1 = 1.2(x + 2)

y = 1.2x + 2.4 - 1

y = 1.2x + 1.4

y - 5 = 1.2(x - 3)

y = 1.2x - 3.6 + 5

y = 1.2x + 1.4

So essentially, they're the same equation but in different forms.

Answer:

x = 8

x = -10

Step-by-step explanation: