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3 years ago

Please help solve -2x - 4 - 7 = - 3x - 15

Mathematics

1 answer:

valentina_108 [34]3 years ago

8 0

Answer:

x = -4

Step-by-step explanation:

-2x-11=-3x-15

x - 11 = -15

x = -4

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If ΔABC is an equilateral triangle with, AB = 2x + 17, BC = 6x - 19, AC = 4x-1, find x and the measure of each side

Soloha48 [4]

Answer:

$x=9, AB=BC=AC=35$

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that $AB=BC=AC$ . We are given the lengths of all 3 sides in terms of $x$ , but we only need to set two of them equal to each other to solve for $x$ . Let's use $AB$ and $BC$ to solve for $x$ . We know that $AB=BC$ , $AB=2x+17$ , and $BC=6x-19$ . Therefore, we can write the following equation to solve for

$AB=BC\\2x+17=6x-19$ (Substitute given values into equation)

Solving for $x$ , we get:

$2x+17=6x-19\\2x+17-17=6x-19-17$ (Subtract $17$ from both sides of the equation to isolate constants)

$2x=6x-36$ (Simplify)

$2x-6x=6x-36-6x$ (Subtract $6x$ from both sides of the equation to isolate $x$ )

$-4x=-36$ (Simplify)

$\frac{-4x}{-4}=\frac{-36}{-4}$ (Divide both sides of the equation by $-4$ to get rid of $x$ 's coefficient)

$x=9$ (Simplify)

Therefore, $AB=2x+17=2*9+17=18+17=35$ , and $AB=BC=AC=35$ . Hope this helps!

3 0

3 years ago

When ordering the kids lunch at burger university the customer must choose a size whether or not to have cheese a type a bun I s

Sav [38]

Dont be stingy with brainliest 1st of all
the awnser is 256.
because you take the amount of choices (c1 *c2*c3*c4*c5)
4*2*2*4*4= 8*2*4*4=16*4*4=64*4=256

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4 years ago

The sum of two integers is -1. the product of the integers is -72 find the integers.

Elis [28]

$\left\{\begin{array}{ccc}x+y=-1\\x\ \times\ y=-72\end{array}\right\\\left\{\begin{array}{ccc}x=-y-1\\x\ \times\ y=-72\end{array}\right\\\\sunbstitute:\\\\(-y-1)y=-72\\-y^3-y+72=0\\\\a=-1;\ b=-1;\ c=72\\\Delta=b^2-4ac\to\Delta=(-1)^2-4\cdot(-1)\cdot72=1+288=289\\\\y_1=\frac{-b-\sqrt\Delta}{2a}\to y_1=\frac{1-\sqrt{289}}{2\cdot(-1)}=\frac{1-17}{-2}=\frac{-16}{-2}=8\\\\y_2=\frac{-b+\sqrt\Delta}{2a}\to y_2=\frac{1+\sqrt{289}}{2\cdot(-1)}=\frac{1+17}{-2}=\frac{18}{-2}=-9$

$
if\ y=8\ then\ x=-8-1=-9\\\\if\ y=-9\ then\ x=-(-9)-1=9-1=8\\\\Answer:8\ and\ -9.$

8 0

4 years ago

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Hi i just need a simple explanation for this question!

Goryan [66]

Answer:

5/3

Step-by-step explanation:

3^5 = 27 ^x

Rewrite 27 and 3^3

3^5 = 3^3^x

We know that a^b^c = a^(b*c)

3^5 = 3^(3x)

The bases are the same so the exponents are the same

5 = 3x

Divide by 3

5/3 =x

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3 years ago

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mote1985 [20]

Answer:

Step-by-step explanation:

the is range is 42

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4 years ago