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MakcuM [25]
2 years ago
5

Help math exit ticket

Mathematics
1 answer:
slava [35]2 years ago
6 0

Answer:

x = 15

Step-by-step explanation:

We can see that the angle with a measure of 37° and the angle with (9x + 8)° form a straight line, so they add up to 180°. This means that 37 + 9x + 8 = 180.

Step 1: Combine like terms.

  • (9x)+(37+8)=180
  • 9x+45=180

Step 2: Subtract 45 from both sides.

  • 9x+45-45=180-45
  • 9x=135

Step 3: Divide both sides by 9.

  • 9x/9=135/9
  • x=15

Therefore, x = 15!

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Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directric of x = -2?
vagabundo [1.1K]
Check the picture below.  So,the parabola looks like so, notice the distance "p". since the parabola is opening to the right, then "p" is positive, thus is 5.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})} \\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}}) \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\

\bf -------------------------------\\\\
\begin{cases}
h=3\\
k=1\\
p=5
\end{cases}\implies (y-1)^2=4(5)(x-3)\implies (y-1)^2=20(x-3)
\\\\\\
\cfrac{1}{20}(y-1)^2=x-3\implies \boxed{\cfrac{1}{20}(y-1)^2+3=x}

8 0
3 years ago
Read 2 more answers
Ted is making a bread recipe that uses three 1/4 cups of flour and a muffin recipe that uses 2 3/4 cups of flour eggs. How much
wlad13 [49]

Amount of flour used in bread recipe = 3 \frac{1}{4} cups

Amount of flour used in muffin recipe = 2 \frac{3}{4} cups

We have to determine how much more flour is in the recipe.

Since, more amount of flour is used in bread recipe than in muffin recipe.

Total amount of more flour = 3 \frac{1}{4} - 2 \frac{3}{4}

= \frac{13}{4} - \frac{11}{4}

= \frac{2}{4}

= \frac{1}{2}

Therefore, \frac{1}{2} more cup of flour is used in bread recipe than in muffin recipe.

Now, we will determine the total amount of flour used in both recipe.

Total amount of flour used in bread and muffin recipe

= 3 \frac{1}{4} + 2 \frac{3}{4}

= \frac{13}{4} + \frac{11}{4}

=\frac{24}{4}

= 6 cups

Therefore, total 6 cups of flour are used in both the recipes.

3 0
3 years ago
A flower pot has a diameter of 6 feet. What is the area of the flower pot, to the nearest whole number?
Elodia [21]

Answer:

28 ft²

Step-by-step explanation:

The area of a circle is \pi r^2, where r = radius. To find the radius, we split the diameter in half.

  • 6/2 = 3
  • Thus, the radius is 3.

Now, let's find the area of the circle and approximate pi to 3.14.

  • 3.14*3^2
  • 3.14*9
  • 28.26
  • 28.26 ≈ 28 ft²

Therefore, the answer is 28 ft².

7 0
3 years ago
Any suggestions or answers
Bad White [126]

Answer:

3m - 4

Step-by-step explanation:

Divide.

(15mn)/(5n) = 3m

(-20n)/(5n) = -4

3m - 4 is your answer.

~

7 0
3 years ago
Find the slope of (-2,1),(-2,2)
Natalija [7]

Answer:

there is no slope its undefined

Step-by-step explanation:

4 0
3 years ago
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