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finlep [7]
3 years ago
11

What factor is paired with 10 to give 20?

Mathematics
1 answer:
matrenka [14]3 years ago
5 0
The factor is 2. Just think, what is 20 divided by 10? The answer is 2.
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write an equation in slope-intercept form of the line that passes through the points (-2,3) and (2,7)
REY [17]

Answer:

y = x+5

Step-by-step explanation:

First find the slope

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

   = ( 7-3)/(2 - -2)

   ( 7-3)/(2+2)

   4/4

  1

Then slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1*x+b

y = x+b

Substitute a point into the equation

7 = 2+b

7-2 =b

5=b

y = x+5

3 0
3 years ago
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Please help me <br> I have to solve the triangle with the law of sines
Nikitich [7]

Check the picture below.

and since a triangle has a sum of 180° for all interior angles.

A = 180 - 39.34 - 25

A = 115.66

\bf \cfrac{sin(25^o)}{44}=\cfrac{sin(A)}{a}\implies \cfrac{sin(25^o)}{44}=\cfrac{sin(115.66^o)}{a} \\\\\\ a\cdot sin(25^o)=44\cdot sin(115.66^o)\implies a=\cfrac{44\cdot sin(115.66^o)}{sin(25^o)} \\\\\\ a\approx 93.8452\implies \stackrel{\textit{rounded up}}{a = 93.85}

make sure your calculator is in Degree mode.

7 0
3 years ago
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The Children’s Hospital sponsors a 10K race to raise money. It receives $75 per race entry and $10,000 in donations, but it must
svetlana [45]

THE ANSWER:


There would need to be at least 1,800 entries in order for them to meet their goal.


Step-by-step explanation:


To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.


75x - 25x


Then we can add the number of donations.


75x - 25x + 10,000


Then we can set it as greater than or equal to the goal number.


75x - 25x + 10,000 ≥ 100,000


Now we solve this using the order of operations.


75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms


50x + 10,000 ≥ 100,000 ------> Subtract 10,000


50x ≥ 90,000 -----> Divide by 50


~~~~~~~~~x ≥ 1,800~~~~~



4 0
3 years ago
Read 2 more answers
The ratio of boys to girls is 7:8 if there were 42 boys how many girls are there
gladu [14]
x^{123}  x^{123}  x^{123}  x^{123}  x^{123}  x^{123}  x^{123}  x^{123}  x^{123}  x^{123}  x^{123}
5 0
3 years ago
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. If α and β are the roots of
Lostsunrise [7]

Answer:

18x^2+85x+18 = 0

Step-by-step explanation:

<u><em>Given Equation is </em></u>

=> 2x^2+7x-9=0

Comparing it with ax^2+bx+c = 0, we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = -\frac{b}{a}

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

<em>Now, Finding the equation whose roots are:</em>

α/β ,β/α

Sum of Roots = \frac{\alpha }{\beta } + \frac{\beta }{\alpha }

Sum of Roots = \frac{\alpha^2+\beta^2  }{\alpha \beta }

Sum of Roots = \frac{(\alpha+\beta )^2-2\alpha\beta   }{\alpha\beta  }

Sum of roots = (\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}

Sum of roots = \frac{49}{4} + 9 /\frac{-9}{2}

Sum of Roots = \frac{49+36}{4} / \frac{-9}{2}

Sum of roots = \frac{85}{4} * \frac{2}{-9}

Sum of roots = S = -\frac{85}{18}

Product of Roots = \frac{\alpha }{\beta } \frac{\beta }{\alpha }

Product of Roots = P = 1

<u><em>The Quadratic Equation is:</em></u>

=> x^2-Sx+P = 0

=> x^2 - (-\frac{85}{18} )x+1 = 0

=> x^2 + \frac{85}{18}x + 1 = 0

=> 18x^2+85x+18 = 0

This is the required quadratic equation.

5 0
3 years ago
Read 2 more answers
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