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3 years ago

Consider this linear system:

Mathematics

2 answers:

Galina-37 [17]3 years ago

7 0

Answer: A

Step-by-step explanation:

points

Ipatiy [6.2K]3 years ago

4 0

Answer: A) (2, 4) :))

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Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

First, we find BD, where B(-1,4) and D(2,4).

$BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3$

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

$AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5$

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

$A=\frac{1}{2}\times {\text{base}}\times {\text{height}}$

$A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5$

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

6 0

3 years ago

Read 2 more answers

You and your friend collect 180 cans for a food drive. The ratio of cans you collected to cans your friend collected is 4 to 5.

marissa [1.9K]

Are you looking for the number of cans you and your friend each collected? If yes, here is the solution:

Let x be the number of cans.

4x + 5x = 180
9x = 180
9x/9 = 180/9 (divide both sides of the equation by 9)
x = 20

Now, substitute the values:
4(20) + 5(20) = 180
80 + 100 = 180
180 = 180

Therefore, you collected 80 cans and your friend collected 100 cans.

6 0

3 years ago

Can someone help me answer these two questions

andrew11 [14]

Answer:

C) 7=y=5x+11

B) m=-4/5, b=13/5

Step-by-step explanation:

<u>Problem 1:</u>

A function is linear if its slope is constant and/or its graph is straight (that means 1-degree polynomials only). Therefore, C is the only correct answer.

<u>Problem 2:</u>

Convert to slope-intercept form (y=mx+b):

4x+5y=13

5y=13-4x

y=13/5-4/5x

y=-4/5x+13/5

Now we can see that since the original equation is in slope-intercept form (y=mx+b), the slope, m, is -4/5, and the y-intercept, b, is 13/5, making option B the correct answer.

8 0

3 years ago

What is the missing angel measures for the remaining three angels

GREYUIT [131]

Answer:

A. 131deg

B. 49deg

C. 131deg

Step-by-step explanation:

180-49=131deg

Opposite congruent angles are equal

8 0

3 years ago

A lines slope is 6 and it's y-intercept is 5 what is the equation in slope-intercept form

Soloha48 [4]

Answer:

y=6x+5

Step-by-step explanation:

7 0

3 years ago