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2 years ago

Completing the sqaure x^2+14x+34

Mathematics

1 answer:

DiKsa [7]2 years ago

7 0

Answer:

-7-√15

Step-by-step explanation:

First move the constant to the right hand side and change it's sign

x^2+14x=-34

Then add (14/2)^2 or 7^2 to both sides

x^2+14x+49=-34+49

Then factor the expression

(x+7)^2=-34+49

Then solve (x+7)^2=15

You should get:

x=-√15-7

x=√15-7

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621/87 can anybody help me

Ilia_Sergeevich [38]

Answer:

621/87=7.13793103448

Step-by-step explanation:

I divided it and got this answer

5 0

3 years ago

Read 2 more answers

An A-frame house is 45 feet high and 32 feet wide. Find the measure of the angle that the roof makes with the floor. Round to th

Flura [38]

Answer:

Angle, $\theta=70.4^{\circ}$

Step-by-step explanation:

We have, an A-frame house is 45 feet high and 32 feet wide. It is required to find the measure of the angle that the roof makes with the floor.

The attached figure shows the A frame. Let $\theta$ is the angle that the roof makes with the floor. So,

$\tan\theta=\dfrac{45}{16}\\\\\tan\theta=2.81\\\\\theta=\tan^{-1}(2.81)\\\\\theta=70.4^{\circ}$

So, the angle of 70.4 degrees is the angle that the roof makes with the floor.

4 0

2 years ago

Evaluate 4x^2-12x+5 at x=6. A. 67 B. 77 C. 105 D. 221

Kamila [148]

Answer: B. 77

Sub x =6 into the given expression

4x^2 - 12x + 5

= 4(6)^2 - 12(6) + 5

= 144 - 72 + 5

= 77

3 0

2 years ago

Write the postulate that confirms the statement m

mixas84 [53]

Ugh this is the worst 55559

7 0

2 years ago

PLEASEEEE HELP ME WITH THIS!!

dem82 [27]

Answer:

$x=\boxed {3.5}$

Step-by-step explanation:

Given:

AC = 5

BC = 6

DB = 4.2

∠ACD ≅ ∠BCD

AD = $x$

∵ ∠ACD ≅ ∠BCD

∴ CD is the angle Bisector of ∠ ACB

We know that, from angle bisector theorem that,

The angle bisector of an interior angle of a triangle divides the opposite side in two segments such that the two segments are proportional to the other two sides of the same triangle.

Therefore, the sides that are in proportion are given as:

$\dfrac{AC}{BC} =\dfrac{AD}{DB}$

Substituting the given values we get:

$\dfrac{5}{6} =\dfrac{x}{4.2}\\\\6x=5\times 4.2\\\\6x=21\\\\x=\dfrac{21}{6}=3.5\\\\\therefore x=3.5\ unit$

Therefore, the value of $x$ is 3.5.

4 0

2 years ago