What is the slope of the line through (0,5) and (-2, -1)?
(0.5)
3
2
X
2
4
-4 -3
+(-2,-1)
-1
-2
-3
A. -3
O
B. -
o
C. 3
O
D.
10
PREVIOUS

Answer: 17: No, the triangles are not similar.

I'm sorry, that is the best I can do, I forgot all about triangles ;-;

Step-by-step explanation:

Answer:

The correct option is C: I = 10⁸I₀.   

Step-by-step explanation:

The function of the Richter scale is:

[tex] M_{(I)} = log(\frac{I}{I_{0}}) [/tex]

Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:

[tex] 8.0 = log(\frac{I}{I_{0}}) [/tex]

[tex] 10^{8} = \frac{I}{I_{0}} [/tex]

[tex] I = 10^{8}I_{0} [/tex]

Therefore, the correct option is C: I = 10⁸I₀.                

I hope it helps you!                    

The equation relates with the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, [tex]I_0[/tex] is [tex]I = 10^8I_0[/tex].

Given that,

The 1985 Mexico City earthquake measured a magnitude of 8.0 on the Richter scale.

The Richter scale uses the function M (I) = log (Start Fraction I Over I Subscript 0 Baseline End Fraction).

We have to determine,

Which equation relates the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, Io.

According to the question,

The function of the Richter scale is:

[tex]M_(_I_) =log[ \dfrac{I}{I_0}][/tex]

The magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, [tex]I_0[/tex] is:

[tex]M_(_I_) =log[ \dfrac{I}{I_0}]\\\\8 =log[ \dfrac{I}{I_0}][/tex]

Taking log base 10 both sides,

[tex]10^8 = \dfrac{I}{I_0}\\\\I = 10^8I_0[/tex]

Hence, The equation relates with the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, [tex]I_0[/tex] is [tex]I = 10^8I_0[/tex].

To know more about the Exponential function click the link given below.

https://brainly.com/question/15673235

Answer:

D

Step-by-step explanation:

38+(-18) can be changed to 38-18 and the answer will still be the same

Answer:

It would be 7:30 pm

Step-by-step explanation:

Answer: 10 sq units

Step-by-step explanation:

Area of triangle: 1/2 x b x h

1/2 x 2 x 2 = 2

Area of the left triangle is 2 sq units

1/2 x 4 x 2 = 4

Area of the right triangle is 4 sq units

Area of square: l x w

2 x 2 = 4

Area of square is 4 sq units

Area of figure: A of square + A of r tri. + A of left tri.

4 + 4 + 2 = 10

The area of the figure is 10 sq units.

Answer:

1

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

the image shows VW and SR to be congruent therefore the difference is 10 between the sizes. to find SP you subtract 10 from TW

15 - 10 = 5

Answer:

33

Step-by-step explanation:

Answer: B. 38

Step-by-step explanation:

Got it right, Edge 2022.

Answer:

9.) 5x - 18 = 4x + 7 10.) x = 25 11.) m∠MNQ = 107° 12.) m∠MNR = 73°

Step-by-step explanation:

9. & 10.)

∠MNQ and ∠RNP are vertical angles meaning they are equivalent to each other. Knowing that, we can set their values equal to each other and solve for x.

5x - 18 = 4x + 7 (Given)

x - 18 = 7 (Subtract 4x on both sides)

x = 25 (Add 18 on both sides)

Therefore, we know the equation is 5x - 18 = 4x + 7 and we know that x = 25.

Now we can solve for the angles.

11.)

5(25) - 18

125 - 18 = 107

Therefore, m∠MNQ = 107°.

12.)

∠MNR and ∠MNQ are supplementary angles meaning their angles will add up to 180°

∠MNR + 107 = 180

∠MNR = 73

Therefore, m∠MNR = 73°.

Answer:

AB ≈ 15.7 cm, BC ≈ 18.7 cm

Step-by-step explanation:

(1)

Using the Cosine rule in Δ ABD

AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )

       = 153.76 + 272.25 - (409.2 cos64° )

       = 426.01 - 179.38

       = 246.63 ( take the square root of both sides )

AB = [tex]\sqrt{246.63}[/tex] ≈ 15.7 cm ( to 1 dec. place )

(2)

Calculate ∠ BCD in Δ BCD

∠ BCD = 180° - (53 +  95)° ← angle sum in triangle

∠ BCD = 180° - 148° = 32°

Using the Sine rule in Δ BCD

[tex]\frac{BC}{sin53}[/tex] = [tex]\frac{BD}{sin32}[/tex] = [tex]\frac{12.4}{sin32}[/tex] ( cross- multiply )

BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )

BC = [tex]\frac{12.4sin53}{sin32}[/tex] ≈ 18.7 cm ( to 1 dec. place )

Answer:

x = 2sqrt(5)   or   x = -2sqrt(5)

Step-by-step explanation:

5x^2 - 12 = 88

5x^2 = 100

x^2 = 20

x = +/- sqrt(20)

x = 2sqrt(5)   or   x = -2sqrt(5)

Answer:

[tex]x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]

Step-by-step explanation:

Given equation: [tex]5x^2-12=88[/tex]

Step 1: Add 12 to both sides.

[tex]\\\implies 5x^2-12+12=88+12\\\\\implies 5x^2=100[/tex]

Step 2: Divide both sides by 5

[tex]\\\implies\dfrac{5x^2}{5}=\dfrac{100}{5}\\\\\implies x^2=20[/tex]

Step 3: Take the square root of both sides (positive and negative roots).

[tex]\\\implies \sqrt{x^2}=\sqrt{20}\\\\\implies x=\pm\ \sqrt{20}[/tex]

Step 4: Simplify.

[tex]\\\implies x=\pm\ \sqrt{4\times5}\\\\\implies x=\pm\ 2\sqrt{5}[/tex]

Step 5: Separate into two cases.

[tex]\implies x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]

Another example:

https://brainly.com/question/20778317

Answer:

p = 6 is the answer

Step-by-step explanation:

Answer:

for the first on its a=24 and for the second its a= 48

Step-by-step explanation:

for the first one you have to find the length which is 8 and then you find the width which is 3 then you multiply that to get 24

for the second one you find the base which is the strait line which is 8 then you find the height which is 6 then you multiply it to get 48 i hopes this helped!

Answer:

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = ²/₅x + 1    ⇒     m₁ =  ²/₅

²/₅m₂ = -1        ⇒   m₂ = -⁵/₂

So, any line with slope m =  -⁵/₂ will be perpendicular to y = ²/₅x + 1  

y= -32

Step-by-step explanation:

step 1: from the first equation you will make X the subject of formula, the equation then becomes;

X= 4-y

2

step 2: substitute X in the second equation, the equation then becomes 5 * [4-y] + 3y = -6

[ 2]

step 3: find the LCM and then cross multiply; 20-5y+6y = -6

2

20+y = -12

y= -12-20

y= -32

Answer:

Blockof silver's wieghing = 8 ounces

total rate = $104

therefore, one ounce=$104/8= $13

Answer:

okk thanks for free points

.............

Answer:

1. -2

2. -3

3.

a. 155x+375 >= 900

b. x>=3.38709677. or technically >=4 because you get payed at the end of a week?

Step-by-step explanation:

1. (y-y)/)x-x)

2. same thing

3 a. 155 is the rate, 375 is the starting value

b. subtract 375, divide by 155

Answer:

No solutions

Step-by-step explanation:

They have the same slope(5), meaning that they are parallel. since they are parallel they will never touch, thus there are no solutions

Answer:

3,500

Step-by-step explanation:

Answer:

Step-by-step explanation:

200m^2-800n^2=200(m^2-4n^2)

Answer:

slope is 1/3

Step-by-step explanation:

In between the points, you go up one, and forward 3. it can't be a negative slope cause it aint going down. And the slope of 3 is steep last time I checked.

Answer:

m=1/3

Step-by-step explanation:

you can do rise over run or y2-y1/x2-x1 with two coordinate points

Answer:

both are 75 degrees

Step-by-step explanation:

the angles add up to 180, as they are also vertical angles

Answer:

b=c since they are vertical angles, b=75 and c=75

Step-by-step explanation: The angle opposite of the given is the same (105) that gives you two measure. Add 105+105 to get 210. A set of vertical angles=360 degrees, take away 210 from 360 to get the measure of b+c. Divide that by two to get the measure of either b or c.

Answer: 45% of 7/10 is 0.315

Answer:

Slope of line A= -1/3

B=-1

C= -5/4

Step-by-step explanation:

Use: slope m= y-y1/ x-x1

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691

Answer:

going in the order top to bottom

i)

2

2

2

2 and 2

ii)

2 and 2

2

2

2 and 2

iii)

2

2

2 and 2

2 and 2

Step-by-step explanation:

you have to find out what number you times to get the number they have given you (eg: you have to get 4 and they have given you the number 2, 2 times what makes 4? the answer is 2)

Answer:

B

Step-by-step explanation:

SAS congruence means that an the concruent angle is found between the two congruent sides. To prove this, IJ and ST must be congruent (so that the angle is between the sides)

Answer:

Step-by-step explanation:

y = 15

The ratio of the corresponding sides of a similar triangle will be constant. Then the length of y will be 15 units.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

Then the ratio will be

22 / 10 = 33 / y = x / 12

From first two terms, we have

22/10 = 33/y

      y = 15 units

More about the triangle link is given below.

https://brainly.com/question/25813512

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