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gavmur [86]
3 years ago
7

what is the slope of the line that passes through the point (-20,18) and (30,14)? a-25/2 b -5/2 c-2/5 d -2/25

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Answer: A: -25/2

Step-by-step explanation:

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\sf \left(\sqrt{2}\right)^3\\\\\\\\\boxed{\sf \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}}\\\\\\\\\sf \left(2^{\frac{1}{2}}\right)^3\\\\\\\\\boxed{\sf\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc} }\\\\\\\\\sf \sf 2^{\frac{1}{2}\cdot \:3}\\\\\\\\\sf 2^{\frac{3}{2}}\\\\\\\\\sf 2^{\frac{3}{2}}=2^{1+\frac{1}{2}}\\\\\\\\\sf 2^{1+\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Apply\:exponent\:rule}:\quad \:x^{a+b}=x^ax^b}\\\\\\\\\sf

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5 0
2 years ago
Out of the 25 students in Mrs. Coulter's class, 15 are girls. In the school there are 390 boys. If the ratio of boys to students
GREYUIT [131]

Answer:

975 students

Step-by-step explanation:

This is a dense question. Let's look at it piece by piece:

1. The ratio of boys to students in the class is 10/25. If there are 25 students and 15 girls, that leaves 10 boys.

2. The question says that the ratio is in proportion of boys to total students in the school. "In proportion" in this case means that if we convert 10/25 to a fraction with numerator 390, the denominator is the amount of students in school.

3. 10x39=390. What you do the numerator you must do to the denominator: 25x39=975.

4. This means 975 students go to the school.

6 0
2 years ago
Read 2 more answers
A factory producing cell phones has the following cost and revenue functions: ()=2+75+2,688 C ( x ) = x 2 + 75 x + 2 , 688 and (
prisoha [69]

Answer:

You recently joined a nature club, and last week you went on a trip with the club into the countryside. Write an email to a friend about this. In your email, you should: . describe the place in the countryside you went to with the nature club explain what you learned during the trip to the countryside . invite your friend to join you on the next nature club trip. The pictures above may give you some ideas, and you can also use some ideas of your own. Your email should be between 150 and 200 words long. You will receive up to 8 marks for the content of your email, and up to 8 marks for the language used.

Step-by-step explanation:

You recently joined a nature club, and last week you went on a trip with the club into the countryside. Write an email to a friend about this. In your email, you should: . describe the place in the countryside you went to with the nature club explain what you learned during the trip to the countryside . invite your friend to join you on the next nature club trip. The pictures above may give you some ideas, and you can also use some ideas of your own. Your email should be between 150 and 200 words long. You will receive up to 8 marks for the content of your email, and up to 8 marks for the language used.

6 0
2 years ago
4x + 10 = 2x - 14<br> Find the value of x.
Gre4nikov [31]

Answer:

x= -12

Step-by-step explanation:

Simplifying

4x + 10 = 2x + -14

Reorder the terms:

10 + 4x = 2x + -14

Reorder the terms:

10 + 4x = -14 + 2x

Solving

10 + 4x = -14 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

10 + 4x + -2x = -14 + 2x + -2x

Combine like terms: 4x + -2x = 2x

10 + 2x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0

10 + 2x = -14 + 0

10 + 2x = -14

Add '-10' to each side of the equation.

10 + -10 + 2x = -14 + -10

Combine like terms: 10 + -10 = 0

0 + 2x = -14 + -10

2x = -14 + -10

Combine like terms: -14 + -10 = -24

2x = -24

Divide each side by '2'.

x = -12

Simplifying

x = -12

3 0
2 years ago
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