Solve for x <br> r + 23 = -22

Point B has coordinates (−4, −2). The x-coordinate of point A is 5. The distance between points A and B is 15 units. What are th

GaryK [48]

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{y})\qquad B(\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{AB}{15}=\sqrt{[-4 - 5]^2 + [-2 - y]^2}\implies 15^2=(-9)^2+(-2-y)^2$

$225=81+(-2-y)(-2-y)\implies 225=81+\stackrel{F~O~I~L}{(4+4y+y^2)} \\\\\\ 144=4+4y+y^2\implies 0=y^2+4y-140\implies 0=(y-10)(y+14) \\\\\\ y= \begin{cases} 10\\ -14 \end{cases}\qquad \qquad \qquad A(5~~,~~10)\qquad A(5~~,~~-14)$

7 0

2 years ago

Is the given point interior, exterior, or on the circle (x 2)2 (y - 3)2 = 81? p(8, 4) click on the graphic to choose the correct

Nina [5.8K]

From the equation we see that the center of the circle is at (-2,3) and the radius is 9.

So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...

d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so

81=10^2+1^2

81=101 which is not true...

So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.

Thus the point lies outside or on the exterior of the circle...

To learn about circle from the given link

brainly.com/question/2166803

#SPJ4

5 0

1 year ago

Which value is a solution of the equation 2 – 8x = –6?

natulia [17]

Simple....

Which value is a solution of the equation 2 – 8x = –6?(1 point)• 1• –1• 8
You have: 2-8x=-6

plug n chug...

2-8(1)=-6

2-8=-6

-6=-6 (Yes) (<<---Answer)

2-8(-1)=-6

2+8=-6

10=-6 (No)

2-8(8)=-6

2-64=-6

-62=-6 (No)

3. Which ordered pair is a solution of the equation y = x – 4?(1 point)• (2, 6)• (6, 2)• (–2, 6)• (–6, 2)
Plug n chug.....

you have:y=x-4

(2,6)

6=2-4

6=-2 (No)

(6,2)

2=6-4

2=2 (Yes) (<<<---Answer)

(-2,6)

6=-2-4

6=-6 (No)

(-6,2)

2=-6-4

2=-10 (No)

4. Which ordered pair is a solution of the equation y = 4x?(1 point)• (1, 3)• (–1, –4)• (–4, –1)• (1, –4)
You have: y=4x

(1,3)

3=4(1)

3=4 (No)

(-1,-4)

-4=4(-1)

-4=-4 (Yes) (<<<----Answer)

(-4,-1)

-1=4(-4)

-1=-16 (No)

(1,-4)

-4=4(1)

-4=4 (No)

5. Which ordered pair is a solution of the equation y = –9x + 4?(1 point)• (10, –86)• (–4, –58)• (6, –41)• (–6, 57)

You have: y=-9x+4

(10,-86)

-86=-9(10)+4

-86=-90+4

-86=-86 (Yes) (<<<---Answer)

(-4,-58)

-58=-9(-4)+4

-58=36+4

-58=40 (No)

(6,-41)

-41=-9(6)+4

-41=-54+4

-41=-50 (No)

(-6,57)

57=-9(-6)+4

57=54+4

57=58 (No)

6. Mike and his best friend Dan have the same birthday, but Mike is three years older than Dan. Let the variable x represent Mike’s age and y represent Dan’s age. Which graph represents the relationship between Dan’s age and Mike’s age?(1 point)

There is no graph.

7. Solve the following equation.
–4 = g + 1(1 point)• g = –4• g = 4• g = –5• g = –3
You have: -4=g+1

-4=g+1
-1 -1

-5=g (Answer/C)

8. Solve the following equation.
x – 3 = –5(1 point)• x = • x = –2• x = –8• x = 15
You have: x-3=-5

x-3=-5
+3 +3

x=-2 (Answer)
9. Solve the following equation.
2.8 = 2y(1 point)• y = 1.4• y = • y = 2.8• y = 0.6

You have: 2.8=2y

2.8=2y

$\frac{2.8}{2} = \frac{2y}{2}$

1.4=y (Answer)

10.
Solve the following equation.

–8 =
(1 point)
• z = –
• z = –5
• z = –24
• z =
11.
Solve the following equation.

–9 =
(1 point)
• n =
• n =
• n =
• n =

NUMBER 10 AND 11..THERE IS NOTHING I CAN WORK WITH,THEREFORE I CAN NOT GIVE AN ANSWER....

12.
Which equation is an identity?
(1 point)
• 11 – (2v + 3) = –2v – 8
• 5w + 8 – w = 6w – 2(w – 4)
• 7m – 2 = 8m + 4 – m
• 8y + 9 = 8y – 3

You have:

11-(2v+3)=-2v-8

11-2v-3=-2v-8

-2v+8=-2v-8 (No)

5w+8-w=6w-2(w-4)

4w+8=6w-2w+8

4w+8=4w+8 (Yes) (<<<<--Answer)

7m-2=8m+4-m

7m-2=7m+4 (No)

8y+9=8y-3 (No)

13.
Which equation has no solution?
(1 point)
• 8 – (5v + 3) = 5v – 5
• 3m – 6 = 5m + 7 – m
• 3w + 4 – w = 5w – 2(w – 2)
• 7y + 9 = 7y – 6

You have:

8-(5v+3)=5v-5

8-5v-3=5v-5

-5v+5=5v-5
+5 +5
-5v+10=5v
+5v +5v

10=10v

1=v

3m-6=5m+7-m

3m-6=4m+7
-3m -3m

-6=m+7
-7 -7

-13=m

3w+4-w=5w-2(w-2)

2w+4=5w-2w+4

2w+4=3w+4
-2w -2w

4=w+4
-4 -4

0=w

7y+9=7y-6
-7y -7y

NO SOLUTION (ANSWER)

Thus, your answer.

5 0

2 years ago

Vera went to the local salon to get a haircut. The cost of was $24. Vera tipped the hair stylist 18%. What was the total cost of

jarptica [38.1K]

Answer:

28.32$

Step-by-step explanation:

18% of 24 = 24*18/100=4.32$

Total: 24+4.32=28.32$

Have a good day

4 0

2 years ago

At a factory, five robots can construct

alexdok [17]

Answer:

5 times the quantity of 30 is (5*30) = 150 robots are needed.

Step-by-step explanation:

....

4 0

2 years ago

Solve for x r + 23 = -22