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gulaghasi [49]
3 years ago
5

Solve the system of equations by graphing. If the system has no solution or infinitely many so state.

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0
The systems will intersect at (1,-4), and i think the system has infinite solutions (not sure)
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Given two points m and n on the coordinate plane, find the slope of line mn, and state the slope of the line perpendicular to li
ololo11 [35]
The slope of the line MN where M (9,6) and N (1,4) can be obtained by obtaining the rate of the rise over the run. This is shown below:

(y2 - y1)/(x2 - x1) = (4 - 6)/(1 - 9) = (-2)/(-8)
m1 = 1/4

The slope of the line perpendicular to line MN can be obtained by taking the negative reciprocal of the slope of line MN.

m1 = 1/4
m2 = -1/m1 = -1/(1/4) = -4

Therefore, the slope of the line perpendicular to line MN is -4.
3 0
3 years ago
Use the expression 9(7 + 2x) to answer the following:
oksian1 [2.3K]

Part A: Describe the two factors in this expression. (4 points) The factors are (1) the constant coefficient 9 and (2) the binomial (7+2x).

Part B: How many terms are in each factor of this expression? (4 points) The first factor (multiplicand), 9, has one term. The second factor (multiplicand), (7+2x), has two terms (and is thus called a binomial).

Part C: What is the coefficient of the variable term? (2 points) The only such coefficient is 2.

4 0
3 years ago
Q5.Jumbo is standing on top of a cliff looking at a speed boat out at sea.The vertical of the cliff from the base (sea level) to
Leni [432]

Answer:

A) 150 m

B) 180.28 m

Step-by-step explanation:

A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.

We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,

  • a² + b² = c²
  • (80)² + b² = (170)²
  • b² = 170² - 80²
  • b² = 22500
  • b = 150

The horizontal distance between the base of the cliff and the boat is 150 m.

B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.

  • (100)² + (150)² = c²
  • 32500 = c²
  • 180.28 = c

The distance between the helicopter and the speed boat is 180.28 m.

8 0
3 years ago
|n+2|=4 need help please
4vir4ik [10]

Are you trying to find n?

7 0
3 years ago
Integrate the following: ∫<img src="https://tex.z-dn.net/?f=5x%5E4dx" id="TexFormula1" title="5x^4dx" alt="5x^4dx" align="absmid
Fiesta28 [93]

Answer:

A. x^5+C

Step-by-step explanation:

This is a great question! The first thing we want to do here is to take the constant out of the expression, in this case 5. Doing so we would receive the following expression -

5\cdot \int \:x^4dx

We can then apply the power rule " \int x^adx=\frac{x^{a+1}}{a+1} ", where a = exponent ( in this case 4 ),

5\cdot \frac{x^{4+1}}{4+1}

From now onward just simplify the expression as one would normally, and afterward add a constant ( C ) to the solution -

5\cdot \frac{x^{4+1}}{4+1}\\ - Add the exponents,

5\cdot \frac{x^{5}}{5} - 5 & 5 cancel each other out,

x^5 - And now adding the constant we see that our solution is option a!

3 0
3 years ago
Read 2 more answers
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