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frez [133]
3 years ago
5

What is the equation for this?

Mathematics
1 answer:
worty [1.4K]3 years ago
5 0

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (-9, 7) and (9, 1). Substitute:

m=\dfrac{1-7}{9-(-9)}=\dfrac{-6}{18}=-\dfrac{1}{3}\\\\y-7=-\dfrac{1}{3}(x-(-9))\\\\\boxed{y-7=-\dfrac{1}{3}(x+9)}

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What polynomial should be subtracted from the polynomial y^2–5y+1 to get the difference equal to: y^2
fomenos
<h3>Answer:</h3>

-5y +1

<h3>Step-by-step explanation:</h3>

Let the polynomial to be subtracted be represented by Q. Then you want ...

... (y^2 -5y +1) -Q = y^2

... (y^2 -5y +1) = y^2 +Q . . . . add Q

... (y^2 -5y +1) -y^2 = Q . . . . .subtract y^2

... -5y +1 = Q . . . . . . . . . . . . . simplify

The polynomial to be subtracted is -5y +1.

4 0
3 years ago
In a survey , rajveer asked 110 people whether they were employed or unemployed.
storchak [24]

Answer:

7

Step-by-step explanation:

Create a two-way table with the given information:

\begin{array}{| c | c | c | c |}\cline{1-4} & \sf Employed & \sf Unemployed & \sf Total\\\cline{1-4} \sf Men & 40 & & 59 \\\cline{1-4} \sf Women & & &  \\\cline{1-4} \sf Total & 84 & & 110 \\\cline{1-4} \end{array}

Fill in the blanks in the table using <u>mathematical operations</u>:

⇒ Men unemployed = 59 - 40 = 19

⇒ Women employed = 84 - 40 = 44

⇒ Total women = 110 - 59 = 51

⇒ Total unemployed = 110 - 84 = 26

⇒ Women unemployed = 51 - 44 = 7

\begin{array}{| c | c | c | c |}\cline{1-4} & \sf Employed & \sf Unemployed & \sf Total\\\cline{1-4} \sf Men & 40 & 19 & 59 \\\cline{1-4} \sf Women &44 & 7& 51  \\\cline{1-4} \sf Total & 84 &26 & 110 \\\cline{1-4} \end{array}

Reading from the table, 7 women responded that they were unemployed.

3 0
2 years ago
In an isosceles triangle with two congruent sides, the angles across from the legs are called ________ angles.
strojnjashka [21]

Answer:

The angles across from the legs are called base angles

Step-by-step explanation:

we know that

The isosceles triangle is a triangle with two equal angles and two equal sides

The two equal sides are called legs and the third side is called base

The two equal angles are called base angles and the third angle is called vertex angle

5 0
3 years ago
Read 2 more answers
Find the value of X. Write your answer in simplest form.<br> X=__
ratelena [41]

Answer:

x = 3

Step-by-step explanation:

Use the Pythagorean theorem:

x^2+x^2=(3\sqrt2)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\2x^2=3^2(\sqrt2)^2\qquad\text{use}\ (\sqrt{a})^2=a\\\\2x^2=(9)(2)\\\\2x^2=18\qquad\text{divide both sides by 2}\\\\x^2=9\to x=\sqrt9\\\\\boxed{x=3}

6 0
3 years ago
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