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just olya [345]
2 years ago
14

What is the y-intercept of the graph?

Mathematics
1 answer:
kotegsom [21]2 years ago
5 0
(0, -5) is the y intercept
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If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6)
vova2212 [387]
\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
X&({{ a}}\quad ,&{{ b}})\quad 
%  (c,d)
Y&({{ -8}}\quad ,&{{ 6}})
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)

\bf \left( \cfrac{-8+a}{2}~,~\cfrac{6+b}{2} \right)=\stackrel{M}{(-3,-1)}\implies 
\begin{cases}
\cfrac{-8+a}{2}=-3\\\\
-8+a=-6\\
\boxed{a=2}\\
----------\\
\cfrac{6+b}{2}=-1\\\\
6+b=-2\\
\boxed{b=-8}
\end{cases}
5 0
2 years ago
Please help me with this
oksano4ka [1.4K]

Answer:

m∠1=80°, m∠2=35°, m∠3=33°

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

step 1

Find the measure of angle 1

In the triangle that contain the interior angle 1

∠1+69°+31°=180°

∠1+100°=180°

∠1=180°-100°=80°

step 2

Find the measure of angle 2

In the small triangle that contain the interior angle 2

∠2+45°+(180°-∠1)=180°

substitute the value of angle 1

∠2+45°+(180°-80°)=180°

∠2+45°+(100°)=180°

∠2+145°=180°

∠2=180°-145°=35°

step 3

Find the measure of angle 3

In the larger triangle that contain the interior angle 3

(∠3+31°)+69°+47°=180°

∠3+147°=180°

∠3=180°-147°=33°

3 0
2 years ago
Write an algebraic equation for each question below and then solve the equation.
Aneli [31]

Answer:

number = x \\ number \: decreaed \: by \: 8 =  > x - 8 = 26 \\ x - 8 = 26 \\ x = 8 + 26 \\ x = 34 \\ thank \: you

3 0
2 years ago
Read 2 more answers
the sum of the interior angle in a polygon is 40,500° what is the number of sides in the regular polygon
larisa86 [58]

Answer:

227 sides

Step-by-step explanation:

The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:

40500 = 180(n-2)

225 = n-2

227 = n

Therefore, the number of sides in the regular polygon is 227.

4 0
2 years ago
PLEASE HELP!!!What mistakes did Cassandra make? Check all that
sertanlavr [38]

Answer:

she used square unit instead of cubic units

in calculating the volume of the pyramid she didn't multiply by 1/3

she subtracted the pyramid volume instead of adding it

4 0
3 years ago
Read 2 more answers
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