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4 years ago

Choose the correct equation for the line shown on the graph below

Mathematics

1 answer:

Romashka [77]4 years ago

7 0

Step-by-step explanation:

We can write the equation of a straight line as y=mx+b, with m being the slope. We know two points to be (-4,0) and (0,-1) in the (x,y) format. The slope is change in y/change in x, so we can subtract -1 from 0 (-1 is the second y coordinate) and 0 from -4 (0 is the second x coordinate) to get 1/(-4) as our slope. Then, we plug a point in, like (0,-1). We plug that into our formula, y=mx+b. We know that x=0, y=-1, and m(slope)=-1/4, so we can plug that in to get -1=(-1/4)(0)+b, or -1=b. Our equation is then y=(-1/4)x+-1 as our equation should have y and x left open for specific points

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Mom drove 180 miles from home to the hotel in 3 hours how many miles did she drive per hour

Lorico [155]

Answer:

$\huge\boxed{\sf 60 \ miles}$

Step-by-step explanation:

<u>Given that,</u>

3 hours = 180 miles

Divide 3 to both sides

3/3 hour = 180/3 miles

1 hour = 60 miles

So, Mom drove 60 miles in one hour.

$\rule[225]{225}{2}$

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2 years ago

If the triangle measure 180 degrees. What is the missing angle?

max2010maxim [7]

Answer:

116

Step-by-step explanation:

36+28=64

180-64=116

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3 years ago

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HELP WILL MARK BRAINLIEST <br> If the sin 60° is

uranmaximum [27]

The answer is the 3rd option

30-60-90 triangle for reference

Remember soh cah toa

O:opposite, a:adjacent, h:hypotenuse

S:sin c:cosine t:tangent

Hope this helped :)

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2 years ago

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A standard deck of cards contains 52 cards. One card is selected from the deck.(a)Compute the probability of randomly selecting

Aneli [31]

a. There are four 5s that can be drawn, and $\binom43=4$ ways of drawing any three of them. There are $\binom{52}3=22,100$ ways of drawing any three cards from the deck. So the probability of drawing three 5s is

$\dfrac{\binom43}{\binom{52}3}=\dfrac4{22,100}=\dfrac1{5525}\approx0.00018$

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of $\frac8{52}=\frac2{13}\approx0.15$ of getting drawn.

b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability $\frac{12}{52}=\frac3{13}\approx0.23$ of being drawn.

c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of $\frac{16}{52}=\frac4{13}\approx0.31$ .

- - -

Note: $\binom nk$ is the binomial coefficient,

$\dbinom nk=\dfrac{n!}{k!(n-k)!}={}_nC_k=C(n,k)=n\text{ choose }k$

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4 years ago

Describe how the discriminant of a quadratic equation is related to the number of real solutions the equation has.

Anettt [7]

If the discriminant of a quadratic equation, given by B^2-4AC is positive, it has 2 real solutions. If 0, it has 1 real solution and if negative it has 0 real solutions.

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3 years ago

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