MATHEMATICS HIGH SCHOOL

Find the slope of the line that passes through point (2,8) and point (9,7).

Answers

Answer 1

Answer:

Answer:

m = -1/7

Step-by-step explanation:

7 - 8 = -1

9 - 2 = 7

m = -1/7

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If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the SAS postulate?

Answers

Δ DUM Δ MAP

hypotenuse: 15 2y-3
short leg: 12 0.5x + 6

y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM

SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.

Answer: DM is congruent to PM

Step-by-step explanation: TOOK QUIZ!!!

Urgent stuff, pls:))).Can someone give me polynomial with a degree of 3 or higher

Answers

A polynomial is a function that, given an input $x$ , returns as output a sum of powers of $x$ , each multiplied by some coefficient. Note that 1 is a power of $x$ , since $x^0=1$

The degree of the polynomial is the highest exponent of $x$ appearing in the sum.

So. if you want to build a polynomial with degree 3 or higher, you have to:

1 - Choose the degree of the polynomial to be 3 or higher, for example 5.

2 - Consider all the powers of $x$ , with exponents up to 5: $1,x,x^2,x^3,x^4,x^5$

3- Assing a coefficient to every power. We usually write $a_n$ to indicate the coefficient of $x^n$ . You can choose any number you like. So, for example, you can choose

$a_0 = 3, a_1 = 0, a_2 = -5, a_3 = 12, a_4 = -1, a_5 = 1$

4 - Multiply each power by its coefficient, and sum all the pieces:

$a_0x^0 + a_1x^1 + a_2x^2 + a_3x^3 + a_4x^4 + a_5x^5$

$3\cdot 1 + 0\cdot x^1 + (-5)\cdot x^2 + 12\cdot x^3 + (-1)\cdot x^4 + 1\cdot x^5$

$3 -5x^2 + 12x^3 -x^4 + x^5$

Jasmine is building birdhouses. it takes her 3 1/2 hours to build 4 birdhouses. which of the following is a equivalent rate?a. 14 hours to build 18 birdhouses
b. 28 hours to build 35 birdhouses
c. 7 hours to build 8 birdhouses
d. 21 hours to build 28 birdhouses

plz help quick

Answers

Option C: 7 hours to build 8 house,

Whenever getting work-time related questions, it is needed to focus that as the amount of work done increases, the time needed to complete also increases.

Given that:

3.5 hours of work is needed to build 4 birdhouses.

Thus as we increase the time twice, the number of birdhouses build by the same person Jasmine will be twice as she got doubletime, thus building 2 times 4 i.e. 8 birdhouses.

Thus we have:

Jasmine takes 7 hours of work to build 8 birdhouses.

Therefore we see that Option C: 7 hours to build 8 birdhouses is correct.

Learn more here:

brainly.com/question/3386488

She makes 4 birdhouses in 3. hours. If you double that you get 8 birdhouses in 7 hours. The answer is C. Please put me as brainliest.

An underwater canyon begins at 40 feetbelow sea level and is 105 feet deep.
What is the elevation of the bottom of
the canyon?

Answers

Answer:

145 feet.

Step-by-step explanation:

Given that:

An underwater canyon begins at depth = 40 ft

Depth of canyon = 105 ft

To find:

The elevation of the bottom of the canyon = ?

Solution:

Kindly refer to the image attached for the given dimensions.

A is the sea level.

B is the point at which the canyon starts and

C is the bottom of the canyon.

As per question statement, we are given that:

AB = 40 feet

BC = 105 feet

And we have to find the distance AC = ?

It is clearly observable that:

$AC = AB + BC\n\Rightarrow AC = 40 + 105\n\Rightarrow \bold{AC = 145 ft}$

So, the elevation of the bottom of the canyon is 145 ft.

What is 2x+10=3x-50 on vertical opp angles

Answers

Answer:

Step-by-step explanation:

2x+10 = 3x - 50
2x-3x = -60
- x = -60

x =60 degree
130 degree are the vertical opp angles

Sophie wrote odd numbers on her paper.what is a number sophie did not write

Answers

If Sophie wrote only odd numbers on her paper (1, 3, 5, 7, 9, etc.), then the numbers she did not write are even numbers - 0, 2, 4, 6, 8, etc.

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