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3 years ago

8p-5(p+3)=(7p-1)3 Please I really need help on this

Mathematics

2 answers:

4vir4ik [10]3 years ago

8 0

The answer is p= 4.25

pav-90 [236]3 years ago

3 0

8p-5(p+3)=3(7p-1)
8p-5p-15=21p-3
3p-15=21p-3
-3p on both sides
-15=18p-3
+3 on both sides
-12=18p
/18 on both sides
p= -12/18 or p=0.66..

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Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are <u>given</u> the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

<u>Finding </u> $\angle DFE$ <u>:</u>

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$

<u>Finding </u> $\angle E$ <u>:</u>

<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external $\angle DFG$ = $\angle E + \angle EDF$

$\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)$

Comparing equations (1) and (2):

It can be clearly seen that:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

The two angles of $\triangle EDF$ are equal hence $\triangle EDF$ is isosceles.

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2 years ago

Emilio compra 3,6 kg de manzanas a 1,45 euros el kilo ¿Cuánto pagara por las manzanas?

Ad libitum [116K]

Answer:

Emilio compra kg De manzanas a euros el kilo cuanto pagara por Las manzanas

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2 years ago

What is the equation of the line in slope intercept form?

Sladkaya [172]

Answer:

y=3/5x+3

Step-by-step explanation:

The y-intercept which is the (+3) is taken from where the line crosses the y-axis.

The slop is found from rise over run, in this case, -5 to 0 is positive 5 this would go in the denominator, because we go from solid ground 0 to 3 without crossing another solid point, the numerator is 3.

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2 years ago

A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Dir

Olegator [25]

Answer:

A. The difference in height between the pelican and the heron is -33 feet.

E. The difference in height between the pelican and the trout is 40 feet.

F. The distance between the heights of the pelican and the trout is 40 feet.

Step-by-step explanation:

<h3> The missing statements are:</h3><h3> A. The difference in height between the pelican and the heron is -33 feet</h3><h3> B. The difference in height between the pelican and the heron is 33 feet</h3><h3> C. The distance between the heights of the pelican and heron is -33 feet</h3><h3> D. The difference in height between the pelican and the trout is -40 feet</h3><h3> E. The difference in height between the pelican and the trout is 40 feet</h3><h3> F. The distance between the heights of the pelican and the trout is 40 feet.</h3><h3 />

Let be 0 the sea level.

Since the heron is perched in a tree 50 feet above sea level and directly below the heron the pelican is flying 17 feet above sea level, you can find the difference in height between the pelican and the heron by subtracting 50 feet from 17 feet.

Then, you get that this is:

$17\ feet-50\ feet=-33\ feet$

Now, according the the information given in the exercise, you know that the trough is swimming directly below them and its height is 23 feet below sea level. If you represent this with an integer, this is:

$-23$

Therefore you can find the difference in height between the pelican and the trout through the following subtraction:

$17\ feet-(-23\ feet)=17\ feet+23\ feet=40\ feet$

And the distance between them is 40 feet too.

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3 years ago

Triangle ABC has A(-3,6),B(2,1), and C(9,5) what the length of side AB? What the length BC what the length AC and what ABC

vovikov84 [41]

Answer:

Step-by-step explanation:

Using the formula for calculating the distance between two points

D = √(x2-x1)²+(y2-y1)²

For AB A(-3,6),B(2,1),

AB = √(2+3)²+(1-6)²

AB = √(5)²+(-5)²

AB = √25+25

AB = √50

For AC A(-3,6) and C(9,5)

AC = √(9+3)²+(5-6)²

AC = √(12)²+(-1)²

AC = √144+1

For BC B(2,1), and C(9,5)

BC = √(9-2)²+(5-1)²

BC = √(7)²+(4)²

BC = √49+16

<em>Since All the sides are difference, hence triangle ABC is a scalene triangle</em>

8 0

2 years ago