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Vitek1552 [10]
3 years ago
13

(5 × 2) + (5 × 4) = 5 × (2 + 4) Which picture represents this equation?

Mathematics
2 answers:
Murljashka [212]3 years ago
8 0

Answer:

They both equal 30, so if the question is are both equal the statement is true!

Note: I would appreciate if you give me 5 stars, a thanks, and brainiest :)

Arlecino [84]3 years ago
4 0
I would’ve guess it’s 10+20=10+20 since you didn’t show no pic :|
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Triangle ABC has vertices A(-5, -2), B(7, -5), and C(3, 1). Find the coordinates of the intersection of the three altitudes
fiasKO [112]

Answer:

The coordinates of the intersection of the three altitudes = (-3.5, -1)

Step-by-step explanation:

The altitude of a triangle is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

There are therefore three altitudes possible in a triangle, one from each vertex. All three altitudes always intersect at the same point called the orthocenter of the triangle.

Let the triangle ABC have altitudes AD, BE and CF as shown in the attached image to this solution. Let the orthocentre be O.

The point O is the point where all the coordinates AD, BE and CF meet.

Hence, to obtain the coordinates of O, we just need to equate the equations of two of the lines that serve as the altitude.

Before that, we need to c9mpute the equations of the two altitudes that we will use.

Noting that the altitudes are perpendicular to the sides of the triangle, we can compute the slopes of the altitudes from caldilating the slopes of the sides.

Slope of AB

= (y₂-y₁)/(x₂−x₁)

= (-5 - (-2))/(7 - (-5))

= (-3/12)

= (-1/4)

Slope of its altitude, CF

= -1 ÷ (Slope of AB)

= -1 × (-1/4)

= 4

The equation of CF is given using point C as,

y – y₁ = m(x – x₁)

y - 1 = 4 (x – 3)

y - 1 = 4x - 12

y = 4x + 13

Slope of BC

= (y₂-y₁)/(x₂−x₁)

= (1 - (-5))/(3 - 7)

= (6/-4)

= (-3/2)

Slope of AD

= −1 ÷ (Slope of BC)

= -1 ÷ (-3/2)

= (2/3)

The equation of AD using point A given as,

y – y₁ = m(x – x₁)

y – (-2)) = (2/3) (x – (-5))

y + 2 = (2x/3) + (10/3)

y = (2x/3) + (4/3)

Now equation the equations of the altitudes CF and AD

y = 4x + 13

y = (2x/3) + (4/3)

4x + 13 = (2x/3) + (4/3)

4x - (2x/3) = (4/3) - 13

(10x/3) = (-35/3)

10x = -35

x = -3.5

y = 4x + 13

y = (4×-3.5) + 13 = -14 + 13 = -1

coordinates of the orthocentre of the triangle = (-3.5, -1)

Hope this Helps!!!

6 0
3 years ago
If ↔w||↔v, then find the measurement of angle a.<br> ∠a =
vladimir1956 [14]

Answer:90%

Step-by-step explanation:

It’s a cute angle

4 0
3 years ago
A brick weighs 5.3 pounds when it is first formed using wet clay.How many bricks of this size can be made from 402.8 pounds of w
Sphinxa [80]

Answer:

76

Step-by-step explanation:

8 0
3 years ago
Confused from where I left off PLEASE help
Leviafan [203]

Not sure the right equation so i did both....

#1 - √12m√15m=1m√2

Simplifies to:

13.416408m2=1.414214m

Let's solve your equation step-by-step.

13.416408m2=1.414214m

Step 1: Subtract 1.414214m from both sides.

13.416408m2−1.414214m=1.414214m−1.414214m

13.416408m2−1.414214m=0

Step 2: Factor left side of equation.

m(13.416408m−1.414214)=0

Step 3: Set factors equal to 0.

m=0 or 13.416408m−1.414214=0

m=0 or m=0.105409

Answer:  m=0 or m=0.105409


#2 - √12m√15m

Simplifies to:

13.416408m2

=13.416408*m2

=13.416408*(m*m)

=13.416408m2


Can I get a brainliest Please & Thank you...

4 0
3 years ago
Read 2 more answers
2/x = 10/15 it's 2 / x = 10 / 15 find the unknown number in the proportion. Round the answer to the nearest hundredth when neces
Masteriza [31]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
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