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3 years ago

Find the missing factor. Write your answer in exponential form.

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

7 0

Answer:

2^-9

Step-by-step explanation:

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

gizmo_the_mogwai [7]

Answer:

The other endpoint of the segment is $(-18,-7)$ .

Step-by-step explanation:

The midpoint of the points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the following formula:

$(x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

where $(x_m,y_m)$ = coordinates of the midpoint.

We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:

$(-15,2)=(\frac{x_1-12}{2}, \frac{y_1+11}{2} )$

To find $x_1$ we need to solve this equation:

$-15=\frac{x_1-12}{2} \\\\\frac{x_1-12}{2}=-15\\\\\frac{2\left(x_1-12\right)}{2}=2\left(-15\right)\\\\x_1-12=-30\\\\x_1-12+12=-30+12\\\\x_1=-18$

and to find $y_1$ we need to solve this equation:

$2= \frac{y_1+11}{2} \\\\\frac{y_1+11}{2}=2\\\\\frac{2\left(y_1+11\right)}{2}=2\cdot \:2\\\\y_1+11=4\\\\y_1=-7$

The other endpoint of the segment is $(x_1,y_1)=(-18,-7)$ .

5 0

3 years ago

Point slope form for (2,9) as the point and -3 as the slope

Brut [27]

Answer:

y - 9 = - 3(x - 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b) = (2, 9), thus

y - 9 = - 3(x - 2) ← in point- slope form

7 0

3 years ago

41 times what would get you to 57?

Yuki888 [10]

Answer:

57/41

Step-by-step explanation:

41 * x = 57

x = 57/41

7 0

3 years ago

Read 2 more answers

If sec ⁡ θ = − 2 secθ=−2 and the reference angle of θ θ is 6 0 ∘ 60 ∘ , find both angles in degrees from 0 ∘ ≤ θ < 36 0 ∘ 0 ∘

jek_recluse [69]

Yoasuibcerknvsekkvdh

4 0

2 years ago

Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new wall

Gekata [30.6K]

The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.

The equation for f(l) is: $f(l) = 1.5l$ .
The desired length and width are 8m and 4m

Given that:

$l = 2w$

Divide both sides by 2

$w = 0.5l$

Equation of f(l)

The sum of the length and the width is represented as: f(l).

So, we have:

$f(l) = l + w$

Substitute $w = 0.5l$

$f(l) = l + 0.5l$

$f(l) = 1.5l$

See attachment for the graph of f(l)

The desired dimension

From the question, we understand that the total length is 12m.

This means that:

$f(l) = 12$

So, we have:

$1.5l = 12$

Divide both sides by 1.5

$l = 8$

Recall that:

$w = 0.5l$

$w = 0.5 \times 8$

$w = 4$

Hence, the desired length and width are 8m and 4m, respectively.

Read more about linear equations at:

brainly.com/question/2263981

8 0

3 years ago