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Soloha48 [4]
3 years ago
8

Can someone help me ASAP!!

Mathematics
2 answers:
Mkey [24]3 years ago
7 0
It’s the light blue one!!!
KATRIN_1 [288]3 years ago
7 0

9514 1404 393

Answer:

  (a)  No, because it will not go through the origin

Step-by-step explanation:

The equation is that of a straight line, but its y-intercept is 2, not 0. Because the y-intercept is not zero, the line does not go through the origin, and the relationship is not proportional.

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50 points! Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.
Nady [450]

Answer:

  • (1,3) is inside the triangle

Step-by-step explanation:

Orthocenter is the intersection of altitudes.

We'll calculate the slopes of the two sides and their altitudes ad find the intersection.

<h3>Side QR</h3>
  • m = (3 - 5)/(4 - (-1)) = -2/5

<u>Perpendicular slope:</u>

  • -1/m = 5/2

<u>Perpendicular line passes through S(-1, -2):</u>

  • y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2
<h3>Side RS</h3>
  • m = (-2 - 3)/(-1 -4) = -5/-5 = 1

<u>Perpendicular slope:</u>

  • -1/m = -1/1 = -1

<u>Perpendicular line passes through Q(-1, 5):</u>

  • y - 5 = -(x - (-1)) ⇒ y = -x + 4

The intersection of the two lines is the orthocenter.

<u>Solve the system of equations to get the coordinates of the orthocenter:</u>

  • 5/2x + 1/2 = x + 4
  • 5x + 1 = -2x + 8
  • 7x = 7
  • x = 1

<u>Find y-coordinate:</u>

  • y = -1 + 4 = 3

The orthocenter is (1, 3)

If we plot the points, we'll see it is inside the triangle

6 0
2 years ago
complete the ordered pain so that each is a solution of the given linear equation then graph the equation y=x+6​
Romashka-Z-Leto [24]

Answer:

xjjx

Step-by-step explanation:

xkz

KKhananna

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jakwkkw

4 0
3 years ago
Please help I need to get school work done before 3​
Leno4ka [110]
1-distributed property
2.Multiplication
3.addition
4.Divison
5.Sum
3 0
3 years ago
Two trains leave stations 306 miles apart at the same time traveling toward each other one is traveling at 90 mph the other at 8
Sergeu [11.5K]

Answer:

They will meet in 1.8 hours.

Step-by-step explanation:

Given that, distance between trains = 306 miles

Let they take time 't' to meet each other.

Speed of first train = 90 mph

Speed of second train = 80 mph

Let distance traveled by first train = D_1 miles

Formula for distance:

Distance = Speed \times Time

Distance traveled by first train, D_1 = 90t

Let distance traveled by first train = D_2 miles

Formula for distance:

Distance = Speed \times Time

Distance traveled by first train, D_2 = 80t

Total distance traveled is 306 miles.

i.e.

D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}

They will meet in 1.8 hours.

3 0
3 years ago
a cylindrical can of juice has a height of 5 inches and a radius of 1.25 inches. Which is closest to the total volume, in cubic
makvit [3.9K]
\bf \textit{volume of a cylinder}\\\\&#10;V=\pi r^2  h\quad &#10;\begin{cases}&#10;r=radius\\&#10;h=height\\&#10;------\\&#10;r=1.25\\&#10;h=5&#10;\end{cases}\implies V=\pi \cdot 1.25^2\cdot 5
4 0
3 years ago
Read 2 more answers
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