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1 year ago

The slope of the line passing through the pair of points (-3,5) and (2,4)

Mathematics

2 answers:

boyakko [2]1 year ago

5 0

Answer:

y=-1/5x+4.4

Step-by-step explanation:

Plot your points and draw a line, calculate the RISE/RUN and then put your answer in y=mx+b

Alik [6]1 year ago

4 0

Whats the question here?

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Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b is obtuse. What must be true?

anyanavicka [17]

Answer: D. $a^2 + b^2 < c^2$

Step-by-step explanation:

In the given figure, we have an obtuse triangle which has sides a, b, and c, and the angle opposite the side of length b is obtuse.

∵ In a triangle, the side opposite to the largest angle is largest.

Thus, the largest side in then given obtuse triangle= c

The Pythagorean inequalities theorem says that If a triangle is obtuse than the square of the largest side is greater than the sum of square of other two sides.

Therefore, we have

$a^2 + b^2 < c^2$

5 0

3 years ago

Solve to find X. 1/5(x - 2) = 1/10 (x + 6)

LenaWriter [7]

Answer:

x = 10

Step-by-step explanation:

First, distribute:

$\frac{1}{5} x - \frac{2}{5} =\frac{1}{10} x+\frac{6}{10}$

Next, subtract $\frac{1}{5}x$ from both sides:

$-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}$

(multiply $\frac{1}{5}x$ by 2 to get common denominator, $\frac{2}{10} x$ )

$-\frac{2}{5} =-\frac{1}{10}x +\frac{6}{10}$

Next, subtract $\frac{6}{10}$ from both sides:

$-\frac{2}{5} -\frac{6}{10} =-\frac{1}{10} x$

(multiply $\frac{2}{5}$ by 2 to get common denominator, $\frac{4}{10}$ )

$-\frac{10}{10} =-\frac{1}{10} x$ ⇒ $-1=-\frac{1}{10} x$

Next, multiply both sides by 10:

$-10=-x$

FInally, divide both sides by -1:

x = 10

3 0

2 years ago

Read 2 more answers

Convert the following Celsius degrees to Fahrenheit.

Nat2105 [25]

Answer:

a 95

b 932

c 50

d 131

Step-by-step explanation:

formula (C × 9/5) + 32 = F

3 0

2 years ago

Students in Miss Moseley's fourth grade class are learning multiplication, and they demonstrate mastery by passing assessments.

blagie [28]

Answer:
Each will have passed 17 tests and it will take 3 weeks.

Explanation: 
Let x be the number of weeks.
The number of tests Travis passes to begin with is 11.
We then add 2 tests per week, or 2x to that, giving us:
11+2x.

The number of tests Jenifer has passed to begin with is 2.
We then add 5 tests per week, or 5x to that, giving us:
2+5x.

Setting these equal, we have: 
11+2x=2+5x.

Subtract 2x from each side: 
11+2x-2x=2+5x-2x;
11=2+3x.

Subtract 2 from each side: 
11-2=2+3x-2;
9=3x.

Divide both sides by 3:
 $\frac{9}{3} = \frac{3x}{3}$ ;
3=x.

It will take 3 weeks.
In 3 weeks,
Travis will have passed:
11+2*3 = 11+6 = 17 tests.
Jenifer will have passed the same number, since she catches up with him at this point.

6 0

3 years ago

Read 2 more answers

The base of an isosceles triangle is one and a half times the length of the other two sides. A smaller triangle has a perimeter

stira [4]

Answer:

P = 1.5x.

Step-by-step explanation:

Let the length of each side of the first triangle be x, then

Perimeter of this triangle

= 2x + 1.5x

= 3.5x.

So perimeter of smaller triangle is:

P = 1/2 * 3.5x

P = 1,.5x.

5 0

3 years ago