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yan [13]
3 years ago
9

Write an equation in slope intercept form of the line that passes through (-5, 19) and (5, 13

Mathematics
1 answer:
koban [17]3 years ago
5 0
Use the equation y-y1 = m(x-x1). Slope = m which can be solved by taking the difference of y and dividing it by the difference of x. Therefore m = 6/-10 which simplifies to -3/5. Then plug m into the equation with either point so for example y-(-5) = (-3/5)(x-19). This then simplifies into y = (-3/5)x + (32/5) which is the final answer.
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Rewrite each of the following statements in the form "∀ _____ x, _____." (a) All dinosaurs are extinct. ∀ x, . (b) Every real nu
jasenka [17]

Answer:

See below

Step-by-step explanation:

Essentially, we have to replace "quantifier words" like "All", "Every" by the universal quantifier ∀.

a) ∀ dinosaur x, x is extinct.

b) ∀ real number x, x is positive, negative, or zero.

c) ∀ irrational number x, x is not an integer.

d) ∀ logician x, x is not lazy.

e) ∀ integer x, x²≠ 2,147,581,953.

f)  ∀ real number x, x²≠ -1.

In a) and b) we replace the words without major changes. In the other statements, we modify the statement using negation. For example, "No irrational numbers are integers." is equivalent to "Every irrational number is not integer".

8 0
3 years ago
Simplify (3x - 5) - (5x + 1).<br> 0-2x + 6<br> -2x - 6<br> 2x - 6<br> 2x + 6<br> fast please!
mamaluj [8]
-2x-6

EXPLANATION

(3x-5) = (-2x) - 6
3 0
3 years ago
eXCUSE ME!!! I NEED HELP PRONTO!! BRAINLIEST PLS! in a fraction the denominator is 4 less than the numerator. If 3 is added to b
avanturin [10]

7/5 = 14/10 = 28/20

Numerator = x

Denominator = x-4

Add 3 to both:

x +3 / (x-4+3)

x+3 = 14

(x-4 +3) = 10 = x-1 = 10

x = 11

Check:

11 -4 = 7 ( denominator is 4 less than the numerator.)

add 3 to both:

11+3 = 14

7+3 = 10

14/10 reduces to 7/5

The original fraction would be 11/7

8 0
3 years ago
There are fifty people standing in the concession line at the movies. Two fifths of them, want to purchase popcorn. One half of
svlad2 [7]
I think the answer is B. 20 people
3 0
3 years ago
Read 2 more answers
Writethecoordinatesoftheverticesafteradilationwithascalefactorof 1 5 ,centeredattheorigin. y x -10 10 -10 10 0 S T U S(5, -10) →
densk [106]

Answer:

The answer is below

Step-by-step explanation:

Write the coordinates of the vertices after a dilation with a scale factor of 1/5 , centered at the origin.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Dilation is the reduction or enlargement in the size of an object by a scale factor (k). If k > 1, it is an enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Therefore, if the vertices are dilated with a scale factor of 1/5 , centered at the origin. The new point is:

S(5, -10) → S′(1 , -2) T(10, -10) → T′(2 , -2) U(5, 10) → U′(1 , 2)

6 0
2 years ago
Read 2 more answers
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