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3 years ago

Are the expressions 3(x + y) + 2y + 10 and x + 5y + 2(x + 5) equivalent? PLEASE HURRY

Mathematics

1 answer:

romanna [79]3 years ago

6 0

Yes they are equivalent.The reason is if you expand them and simply them you will get the answer of 3x+5y+10.

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Find the measure of the sides of angle ABC with vertices A(1,5), B(3,-2), and C(-3,0). Classify the triangle

Charra [1.4K]

Answer:

$AB=\sqrt{53},\ BC=\sqrt{40},\ CA=\sqrt{41}\\It\ is\ an\ acute\ triangle$

Step-by-step explanation:

The distance between two points $(x_1,y_1),\ (x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

Here $A(1,5),\ B(3,-2),\ C(-3,0)$ are the vertices of a triangle.

$AB=\sqrt{(-2-5)^2+(3-1)^2}=\sqrt{(-7)^2+(2)^2}=\sqrt{49+4}=\sqrt{53}=7.28\ unit\\\\BC=\sqrt{(0+2)^2+(-3-3)^2}=\sqrt{(2)^2+(-6)^2}=\sqrt{4+36}=\sqrt{40}=6.32\ unit\\\\CA=\sqrt{(5-0)^2+(1+3)^2}=\sqrt{(5)^2+(4)^2}=\sqrt{25+16}=\sqrt{41}=6.40\ unit$

Longest side $=AB$

$AB^2=53\\BC^2+CA^2=40+41=81\\\Rightarrow AB^2$

Hence this is an acute triangle.

6 0

3 years ago

Maya is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She

yKpoI14uk [10]

Answer:

The kite is 73.4 feet above the ground.

Step-by-step explanation:

125 sin 34=

Cross multiply.

x=69.899112...

{Add 3.5, the distance from the ground to her hand:}

Add 3.5, the distance from the ground to her hand:

69.899112...+3.5=

73.399112...

3 0

3 years ago

The graph of the function f(x) = –(x + 6)(x + 2) is shown below.

schepotkina [342]

Answer:

a. The function is increasing for all real values of x where x < –4.

Step-by-step explanation:

Let me help you, I have answered this question once in Brainly as well

Given the factored form of the function:

f(x) = -(x + 6)(x+2)

<=> f(x) = $-x^{2} - 8x -12$

We will convert to vertex form

$f(x) = -(x+4)^{2} + 4$

Let analyse other possible answers:

a. The function is increasing for all real values of x where x < –4.

True, because the parameter a = - 1 so the graph open down all over its domain

b. The function is increasing for all real values of x where –6 < x < –2.

Wrong, the function decrease in the interval from –4.< x < -2

c. The function is decreasing for all real values of x where x < –6 and where x > –2.

Wrong, the function increase in the interval from -6 < x < -4

d. The function is decreasing for all real values of x where x < –4.

Wrong, The function is increasing for all real values of x where x < –4.

7 0

3 years ago

Read 2 more answers

Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin

Snowcat [4.5K]

Let f be the height of the fir trees
Let p be the height of the pine trees

We know from the problem that
f + p = 21 and 4f = 24 + p
rearrange the 2nd equation to get p = 4f - 24 and substitute into the other equation

so...
f + 4f - 24 = 21
5f - 24 = 21
5f = 45
f = 9 - height of the fir tree

substitute back into the 1st equation
9 + p = 21
p = 12 - height of the pine tree

8 0

3 years ago

What is 22 1/6+ 10 4/5

LUCKY_DIMON [66]

32 29/30 its 32 and 5/30+24/30

3 0

2 years ago

Read 2 more answers