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2 years ago

the slope of the line below is -5. which of the following is the point slope of the line? y intercept = (2, -8)

Mathematics

1 answer:

umka2103 [35]2 years ago

3 0

Answer:

Step-by-step explanation:

The y-intercept cannot be (2,-8). The x-coordinate of the y-intercept is 0.

Point-slope equation for line of slope -5 that passes through (2,-8):

y+8 = -5(x-2)

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The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study, the

Nesterboy [21]

Answer:

jfdslkhfbdjskbvdslkjfbv;kjdabva;ksjdvbljfslfdhglkdufhgdsrlkgujdsgljkdsfbvlkfdjdd;hgs;dihg;dsifvsj

Step-by-step explanation:

4 0

3 years ago

A donut store has 11 different types of donuts. You can only buy a bag of 3 of them, where each donut has to be of a different t

MakcuM [25]

Answer:

$165$ .

Step-by-step explanation:

Since repetition isn't allowed, there would be $11$ choices for the first donut, $(11 - 1) = 10$ choices for the second donut, and $(11 - 2) = 9$ choices for the third donut. If the order in which donuts are placed in the bag matters, there would be $11 \times 10 \times 9$ unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type $3 \times 2 \times 1 = 6$ times.

For example, if a bag includes donut of type $x$ , $y$ , and $z$ , the count $11 \times 10 \times 9$ would include the following $3 \times 2 \times 1$ arrangements:

$xyz$ .
$xzy$ .
$yxz$ .
$yzx$ .
$zxy$ .
$zyx$ .

Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count $11 \times 10 \times 9$ by $3 \times 2 \times 1 = 6$ to find the actual number of donut combinations:

$\begin{aligned} \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}$ .

Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of $3$ objects from a set of $11$ distinct objects:

$\begin{aligned}\begin{pmatrix}11 \\ 3\end{pmatrix} &= \frac{11 !}{(11 - 3)! \times 3 !} \\ &= \frac{11 !}{8 ! \times 3 !} \\ &= \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}$ .

5 0

2 years ago

The equation represents an ellipse. which points are the vertices of the ellipse? (7, 1) and (7, −5) (7, −10) and (7, 6) (10, −2

OleMash [197]

The points which represents the vertices of the given equation are; (15, −2) and (−1, −2).

<h3>Which points among the answer choices represents the vertices of the ellipse whose equation is given?</h3>

The complete question gives the equation of the ellipse as; (x-7)²/64+(y+2)²/9=1.

Since, It follows from convention that general equation of ellipse with centre as (h, k) takes the form;

(x-h)²/a² +(y-k)²/b² = 1.

Consequently, it follows from observation that the value of a and b in the given equation in the task content is; √64 = 8 and √9 = 3 respectively.

Since, 8 > 3, The vertices of the ellipse are given by; (h±a, k).

The vertices in this scenario are therefore;

(7+8, -2) and (7-8, -2).

= (15, -2) and (-1, -2).

Read more on vertices of an ellipse;

brainly.com/question/9525569

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7 0

1 year ago

A composition of a reflection and a translation is called a __________________

ivolga24 [154]

A reflection is a transformation across a line called the line of reflection, so that the line of reflection is the perpendicular bisector of each segment joining each point and its image. ... A translation is an isometry , so the image of a translated figure is congruent to the preimage.

8 0

2 years ago

Can someone help me with this

loris [4]

Hello! Please mark Brainliest for the explanation!

Answer:

Area: 10 inches

Step-by-step explanation:

As the paper itself states, the area of a triangle would be

1/2bh

Simply plug the given values in!

1/2(5)(4) =

1/2(20)=

Have a wonderful day!

7 0

2 years ago

Read 2 more answers