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Yuliya22 [10]
4 years ago
5

1. -10=xy+z, solve for x please? 2. h-4/j =k, solve for j please?​

Mathematics
2 answers:
ANEK [815]4 years ago
8 0

Answer:

x=\frac{-10-z}{y}

Step-by-step explanation:

1 Subtract z from both sides.

-10-z=xy

2 Divide both sides by y

\frac{-10-z}{y} =x

3 Switch sides.

x=\frac{-10-z}{y}

2nd question

Answer: j=-\frac{4}{k-h}

Step-by-step explanation:

1 Subtract h from both sides

-\frac{4}{j} =k-h

2 Multiply both sides by j.

-4=(k-h)j

3 Divide both sides by k−h.

-\frac{4}{k-h}=j

4 Switch sides.

j=-\frac{4}{k-h}

pychu [463]4 years ago
5 0

Answer:

\huge \boxed{x= \frac{-10-z}{y} } \\\\\\\\ \huge \boxed{j=\frac{4}{h-k} }

\rule[225]{225}{2}

Step-by-step explanation:

Solving for x:

-10=xy+z

Subtracting z from both sides:

-10-z=xy

Divding both sides by y:

\displaystyle \frac{-10-z}{y} =x

Solving for j:

\displaystyle h-\frac{4}{j} =k

Subtracting h from both sides:

\displaystyle - \frac{4}{j} =-h+k

Multiplying both sides by j,

then dividing both sides by (-h + k):

\displaystyle - \frac{4}{-h+k} =j

Simplifying the equation:

\displaystyle \frac{4}{-(-h+k)} =j

\displaystyle \frac{4}{h-k} =j

\rule[225]{225}{2}

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What is the correct simplified version of the expression 32x + 8 - 34x?
MakcuM [25]

Answer:

  -2x +8

Step-by-step explanation:

The terms involving x are "like" terms, so their coefficients are added when the terms are combined.

  = 32x -34x +8

  = (32 -34)x +8 . . . . . x is factored out according to the distributive property

  = -2x +8

5 0
3 years ago
In ΔABC, if m ∠A = m∠C, m∠B = ß (where ß is an acute angle), and BC = x, which expression gives the length of b, the side opposi
chubhunter [2.5K]

Answer:

The length of b is \sqrt{2x^2(1-cos\beta)}.

Step by step explanation:

Given information: In ΔABC, ∠A =∠C, ∠B = ß (where ß is an acute angle), and BC = x.

Since two angles are same therefore triangle ABC is an isosceles triangle and side AB and BC are congruent.

AB=BC=x

According to Law of cosine

b^2=a^2+c^2-2ac\cos B

b^2=x^2+x^2-2(x)(x)\cos \beta

b^2=2x^2-2x^2\cos \beta

b^2=2x^2(1-\cos \beta)

\sqrt{2x^2(1-cos\beta)}

Therefore the length of b is \sqrt{2x^2(1-cos\beta)}.

6 0
3 years ago
Solve for x x^2-2x+1=0
Molodets [167]

Answer:

x=1

Step-by-step explanation:

By factoring, you'll compress the equation to (x-1)^2=0

Next take out the square: x-1=0

Now subtract one to the other side to get x! x=1

Hope this helps! :)

3 0
3 years ago
All help is appreciated. Find m
Annette [7]

Answer:

B.) 73°

Step-by-step explanation:

To find m<A, first you must find it's supplementary angle. In order to do this, you must determine the missing interior angle. We'll call the missing angle x

A pentagon has 540°. Add up the known angles.

96°+118°+115°+104°+x = 540°

433°+x = 540°

x = 107°

Now that we know the value of x, we can find the m<A. Supplementary angles are two angles that add up to 180°, which is a flat line. We can see in the diagram that m<a + 107° is a flat line, meaning m<a + 107° = 180°

Solve accordingly.

m<a + 107° = 180°

m<a = 73°

3 0
4 years ago
Read 2 more answers
Solve the system of equations. y = -6x + 9 y = -3x + 3
abruzzese [7]

- 6x + 9 =  - 3x + 3 \\ 3x = 6 \\ x = 2

Substitute x = 2 into y = - 6x + 9
y =  - 6(2) + 9  \\ y =  - 12 + 9 \\ y =  - 3

Answer : x = 2, y = - 3

Hope this helps. - M
6 0
4 years ago
Read 2 more answers
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