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Mila [183]
3 years ago
14

Find the slope of the line that passes through (-3,-2) and (-3,2)

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0

Answer:

undefined

Step-by-step explanation:

The x value does not change, which means it is a vertical line

Vertical lines have an undefined slope

we can check using

m = (y2-y1)/(x2-x1)

    =(2- -2)/( -3 - -3)

    = (2+2)/( -3+3)

     4/0

 undefined

You might be interested in
Five people per 1000 square feet are allowed to enter a building Whose total dimensions is 180,000 square feet How many people c
Ludmilka [50]

Answer:

900

Step-by-step explanation:

5 people are said to occupy a 1000square feet space

That means we have to look out for how many 1000 square feets are in 180000

That would be 180000/1000 = 180

But 1000 square occupies 5 persons and there are 180 1000square which can occupy 5 people in 180 000 square.

Hence 180 × 5= 900 is the number of persons that the hall can occupy.

6 0
3 years ago
see i don't mind giving my points away..Can anyone help me solve this though for a brainlest and extra points?​
victus00 [196]

Answer:

a=17\sqrt{2}

Step-by-step explanation:

As we have 2 of the angles, we can find the third. The measure of the third angle is 45 degrees.

As this is the same measure as the other, that means that the side length will be the same.

Now was have two side lengths of 17 in a right triangle, so we can use the Pythagorean theorem to find a.

Recall that the pythagorean theorem states: a^2+b^2=c^2

In this case, a is 17, b is 17, and c is a

Knowing this, we can input our value into this formula and solve for a.

17^2+17^2=a^2\\\\289+289=a^2\\\\a=\sqrt{578} \\\\a=17\sqrt{2}

6 0
3 years ago
Read 2 more answers
The area of the triangle formed by x− and y− intercepts of the parabola y=0.5(x−3)(x+k) is equal to 1.5 square units. Find all p
Juliette [100K]

Check the picture below.


based on the equation, if we set y = 0, we'd end up with 0 = 0.5(x-3)(x-k).

and that will give us two x-intercepts, at x = 3 and x = k.

since the triangle is made by the x-intercepts and y-intercepts, then the parabola most likely has another x-intercept on the negative side of the x-axis, as you see in the picture, so chances are "k" is a negative value.

now, notice the picture, those intercepts make a triangle with a base = 3 + k, and height = y, where "y" is on the negative side.

let's find the y-intercept by setting x = 0 now,


\bf y=0.5(x-3)(x+k)\implies y=\cfrac{1}{2}(x-3)(x+k)\implies \stackrel{\textit{setting x = 0}}{y=\cfrac{1}{2}(0-3)(0+k)} \\\\\\ y=\cfrac{1}{2}(-3)(k)\implies \boxed{y=-\cfrac{3k}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=3+k\\ h=y\\ \quad -\frac{3k}{2}\\ A=1.5\\ \qquad \frac{3}{2} \end{cases}\implies \cfrac{3}{2}=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)


\bf \cfrac{3}{2}=\cfrac{3+k}{2}\left( -\cfrac{3k}{2} \right)\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{2}}{3=\cfrac{(3+k)(-3k)}{2}}\implies 6=-9k-3k^2 \\\\\\ 6=-3(3k+k^2)\implies \cfrac{6}{-3}=3k+k^2\implies -2=3k+k^2 \\\\\\ 0=k^2+3k+2\implies 0=(k+2)(k+1)\implies k= \begin{cases} -2\\ -1 \end{cases}


now, we can plug those values on A = (1/2)bh,


\bf \stackrel{\textit{using k = -2}}{A=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)}\implies A=\cfrac{1}{2}(3-2)\left(-\cfrac{3(-2)}{2} \right)\implies A=\cfrac{1}{2}(1)(3) \\\\\\ A=\cfrac{3}{2}\implies A=1.5 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{using k = -1}}{A=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)}\implies A=\cfrac{1}{2}(3-1)\left(-\cfrac{3(-1)}{2} \right) \\\\\\ A=\cfrac{1}{2}(2)\left( \cfrac{3}{2} \right)\implies A=\cfrac{3}{2}\implies A=1.5

7 0
3 years ago
The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.
solong [7]

Answer:

20.

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are a, b, and c:

a + b > c,

a + c > b, and

b + c > a.

In this question, the length of the sides are 10, 24, and x. The length of these sides should satisfty the following inequalities:

10 + 24 > x,

10 + x > 24, and

24 + x > 10.

Since x > 0, the inequality 24 + x > 10 is guarenteed to be satisfied.

Simplify 10 + 24 > x to obtain the inequality x < 35.

Similarly, simplify 10 + x > 24 to obtain the inequality x > 14.

Since x needs to be a whole number, the greatest x that satisfies x < 35 would be 34. Similarly, the least x\! that satisfies x > 14 would be 15. Thus, x\!\! could be any whole number between 15\! and 34\! (inclusive.)

There are a total of 34 - 15 + 1 = 20 distinct whole numbers between 15 and 34 (inclusive.) Thus, the number of possible whole number values for x would be 20.

5 0
2 years ago
GIVING BRAINLIEST!! someone please help me with this​
Vika [28.1K]

Answer:

Quesnel Lake:Lake Baikal=.31

Quesnel Lake:Great Slave Lake=.82

Step-by-step explanation:

1 foot = .3048 meters

Lake Baikal: 5369 ft. = 1636.4712 m

Great Slave Lake: 2015 ft. = 614.172 m

Quesnel Lake: 506 m

Quesnel Lake:Lake Baikal

506 \div 1636.472 = .31

Quesnel Lake:Great Slave Lake

506  \div 614.172 = .82

8 0
2 years ago
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