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patriot [66]
2 years ago
9

What is the midpoint of the line segment with endpoints (-1,3) and (-5,5)?

Mathematics
1 answer:
andrew11 [14]2 years ago
6 0

Answer:

(4, 5)

Step-by-step explanation:

Calculate the midpoint using the midpoint formula

midpoint = [( + ), ( + ) ]

with (,  ) = (1, 2) and (,  ) = (7, 8)

midpoint = [(1 + 7), (2 + 8) ]

              = (4, 5)

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What is the value of x if e3x+6=8
goldfiish [28.3K]

Answer:

x = 1/3 ln(2)

Step-by-step explanation:

e^(3x)+6=8

Subtract 6 from each side

e^(3x)+6-6=8-6

e^(3x) = 2

Take the natural log of each side

ln (e ^3x) = ln (2)

3x = ln(2)

Divide by 3

3x/3 = 1/3 ln(2)

x = 1/3 ln(2)

4 0
3 years ago
Read 2 more answers
4x + 3 = x + 2(x + 7) x=
stiv31 [10]

Answer:

X= -11/4 + -1/4 √145 or X= -11/4 + 1/4 √145

Step-by-step explanation:

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4 0
3 years ago
I did 3 over 7 then 8 over x. I'm getting decimals. ‍♀️
julia-pushkina [17]

Answer:

The length of side <em>b</em> is 9.

Step-by-step explanation:

Triangles are similar if they have the same shape, but can be different sizes.

When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle ABC is similar to the triangle XYZ. Therefore the following relation must be true:

                                                      \frac{AB}{AC} =\frac{XY}{XZ}

We know that side AB is equal to 8, side AC is equal to <em>b, </em>side XY is equal to 2\frac{2}{3}, and side XZ is equal to 3.

Substituting these values into the above relation and solving for <em>b</em> we get that:

\frac{8}{b} =\frac{2\frac{2}{3} }{3}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{b}=\frac{\frac{8}{3}}{3}\\\\8\cdot \:3=b\frac{8}{3}\\\\24=b\frac{8}{3}\\\\8b=72\\\\b=9

5 0
3 years ago
Sara sells homemade blueberry jelly (b) and strawberry jam (s) at the farmer's market. It is the end of berry picking season, so
Diano4ka-milaya [45]

System of inequalities representing given scenario is as follows

x + y ≤40  

5x + 4y ≥ 120    

<h3><u>Solution:</u></h3>

Given that Sara sells homemade blueberry jelly (b) and strawberry jam (s) at the farmer's market. She has enough berries for no more than 40 jars.

The blueberry jelly sells for $5 per jar,  

And the strawberry jam sells for $4 per jar.

Sara's goal is to make at least $120

Need to write system of inequalities for above scenario.

Let’s assume number of jars of blueberry jelly be represented by variable “x”

And assume number of jars of strawberry jam be represented by variable “y”

<em><u>Let’s create first inequality  </u></em>

As it is given that Sara has enough berries for no more than 40 jars, so total number of jars cannot be more than 40.  

=> Number jars of blueberry jelly + number of jars of strawberry jam ≤40

=>  x + y ≤ 40 ------(1)

<em><u>Now let’s create second inequality </u></em>

Selling Price of 1 blueberry jelly = $5  

So Selling Price of "x" blueberry jelly =x \times 5=5 x

Selling Price of 1 strawberry jam = $4

So Selling Price of "y" strawberry jam = \$ 4 \times \mathrm{y}=4 y

So amount generated by selling x blueberry jelly and y strawberry jam = 5x + 4y

And as Sara’s goal is to generate at least $120, so amount generated by selling “x” blueberry jelly and “y” strawberry jam must be greater than $120  

=> 5x + 4y ≥ 120   ------ (2)

Hence system of inequalities representing given scenario is as follows :

x + y ≤40  

5x + 4y ≥ 120    

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2 years ago
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