a = 3, k = 12, z = 6, h = 4

Evaluate the algebraic expression k – a + h.

Answer:

3. 7

4. 22

Step-by-step explanation:

What divided by two equals 5? Ten! Then, what plus three equals 10? Seven!

17 + 5 (2 · 22 - 9) = (-6 · 22 + 10) +4 is true!

I hope that this helps!

Answer:

x = 7 and x = [tex]\frac{21}{8}[/tex]

Step-by-step explanation:

(3)

[tex]\frac{x+3}{2}[/tex] = 5 ( multiply both sides by 2 to clear the fraction )

x + 3 = 10 ( subtract 3 from both sides )

x = 7

-----------------------------------------------------------

(4)

17 + 5(2x - 9) = - 6x + 10 + 4 ← distribute parenthesis on left side and simplify

17 + 10x - 45 = - 6x + 14

10x - 28 = - 6x + 14 ( add 6x to both sides )

16x - 28 = 14 ( add 28 to both sides )

16x = 42 ( divide both sides by 16 )

x = [tex]\frac{42}{16}[/tex] = [tex]\frac{21}{8}[/tex]

Answer:

rational

Hope this helps!

lmk if it does

Answer:

b is the answer because I don't know what to do with it and

Answer:

zero slope

Step-by-step explanation:

horizontal lines are zero slope because they are not slanted (slope)

this is a horizontal line.

Answer: $4.29?

Step-by-step explanation:

3 pack /3 = $12.88 /3

1 pack = 4 22/75 or approx $4.29

Answer:

i wish i could tell you but i suggest that you use a calculator to find your answer.

Step-by-step explanation:

i really hope this helps you!

Answer:

-14.82

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y=3, you can see it when you start from ×=-1 and then follow the line in the graph

Answer:

f(-1) = 3

Step-by-step explanation:

You can see the function f(x) on the graph. To find f(-1), you need to find the value of the function at x = -1.

Starting from the center at (0, 0), just go 1 to the left and then up to the line. You can see the point at x = -1 on the line is y = 3, so f(-1) is equal to 3.

Answer:

2^2 + i^2  or 4 + i^2 (depending if the teacher wants it simplified or not)

Step-by-step explanation:

(2+i)^2

Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.  

Answer:

13841287201

Step-by-step explanation

7×7×7×7×7×7×7×7×7×7×7×7=13841287201

Answer:

7

×

7

×

7

×

7

×

7

=

7

5

Step-by-step explanation:

Explanation:

A function has each x value map to exactly one y value. Choice A demonstrates this, which is why it's a function. Note how none of the x values are repeated in this table.

Choices B, C and D have repeated x values, which in turn means that we have an x input lead to multiple y outputs. For instance, choice B says that the input x = -5 has the two outputs y = -5 and y = 5; this is sufficient to show that table B is not a function. Choices C and D are a similar story.

Answer:

Yes

Step-by-step explanation:

45 is divisible by 5 because 45 divided by 5 is 9

¯\_(ツ)_/¯

Answer:

.

Step-by-step explanation:

Answer:

not sure

Step-by-step explanation:

Answer:

x= 7

3

Step-by-step explanation:

find x by making the subject of formula

Answer:

13. PS ≈ 28.30

14. ∠CDB ≈ 68.74°

Step-by-step explanation:

13 =========================

We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)

[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]

or x ≈ 20.74

Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.

[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]

or y ≈ 28.30

PS ≈ 28.30

14 ======================

Start from ∠A and use tan.

[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]

x ≈ 19.30

Then from ∠CDB, we'll use inverse cos.

[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]

y ≈ 68.74°

∠CDB ≈ 68.74°

=======================

I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.

Answer:

x = 20

Step-by-step explanation:

these 3 angles form a straight line, which is 180°

3x + 80 + 2x = 180

5x + 80 = 180

5x = 100

x = 20

1st ∡ = 3(20) or 60°

3rd ∡ = 2(20) or 40°

Answer:

20

step by step explanation:

this angle is an angle on a straight line; which means, it is 180 degrees.. so :-

2x + 3x + 80 = 180 ( sum of the angles on a straight line is 180 ) < this is the theorum that has to be written

5x + 80 = 180n it became 5x coz u have to add the like terms

5x = 180 - 80 u have to subject the 5x

5x ÷ 5 = 100 ÷5 u need to cancel the 5... so since 5 is multiplied to X , to cancel it we need to divide it

x = 20

2x = 40 (20 × 2)

3x = 60 (20×3)

hope this helps ☆☆☆

Answer:

Step-by-step explanation:

To solve the first question write an equation of

[tex]a=\frac{1}{2} (12)(5)[/tex]

[tex]a=\frac{1}{2} 60[/tex]

[tex]a=30[/tex]

To find the answer to the second question we need to know how to classify the different triangles

Equilateral Triangle- 3 equal sides and 3 equal angles (angles always are 60)

Isosceles Triangle- 2 equal sides and 2 equal angles

Scalene Triangle- No equal sides and no equal angles

So this triangle has no equal sides or angles meaning that it is a scalene triangle

Answer: The area of the triangle is 30

The triangle is a scalene triangle

Step-by-step explanation:

Answer:

w + 4  ≥  -23

Step-by-step explanation:

"a number w": w

"increased by 4": + 4

"is greater than or equal to":  ≥

"-23": -23

Put the parts of the equation together:

w + 4  ≥  -23

~

Answer: (x + 4) ≥ -23

Answer:

$20,300.88

Step-by-step explanation:

First Year : 75,000x(1-23%)

Second Year: 75,000x(1-23%)x(1-23%)

=75,000x(1-23%)^2

Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)

=75,000x(1-23%)^3

x Year : 75,000x(1-23%)^x              (Analogical Reasoning)

Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5

23%=0.23 1-23%=1-0.23=0.77

Therefore Fifth Year: 75000x(0.77)^5=$20300.88

Answer:

2² = 2*2

(2*2) + 6 = 4+6 = 10

4748

Step-by-step explanation:

Answer:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

Step-by-step explanation:

Ooook, step 1: write the denominator as a product, or we're not going anywhere. Can't spot any two factor by staring at it, so quadratic formula it is.

[tex]x= \frac13(-2 \pm \sqrt{4+12})=\frac13(-2\pm4) = -2;\frac23[/tex]

We got our toots, let's split the denominator now: [tex]3x^2+4x-4 = (3x-2)(x+2)\\[/tex]

Now it's all a matter of writing down what we need:

[tex]\frac{5x-2}{3x^2+4x-4}=\frac{5x-2}{(3x-2)(x+2)} = \frac{A}{3x-2}+\frac{B}{x+2} = \frac{A(x+2)+B(3x-2)}{(3x-2)(x+2)}=\frac{Ax+2A+3Bx-2B}{(3x-2)(x+2)} =\frac{(A+3B)x+(2A-2B)}{(3x-2)(x+2)}[/tex]

Here comes the fun part. Two ways: the fast and loose, and the long one.

Fast and loose: let's look only at the numerators of the 3rd to last and first step: [tex]A(x+2)+B(3x-2) = 5x+2[/tex] If we plugged a convenient value, let's say [tex]x=-2[/tex] the coeffcent of A would disappear, and we would be able to find B. Let's do it. [tex]A(-2+2) + B(3(-2)-2) = 5(-2)+2 \rightarrow -8B =-8 B=1[/tex]

At this point we have B, let's pick a different value of x, let's say 1, to get A:

[tex]A(3) + 1(1) = 7 \rightarrow 3A=6 \rightarrow A=2[/tex]

More traditional: Pick the first and last numerators: [tex]5x+2 = (A+3B)x+(2A-2B)[/tex]. Stare at them long enough and pick your favourite excuse to justify the following system (two polynomials are equal if the coefficents are equal, polynomials create a vector space of base [tex](1,x,x^2...)[/tex]

[tex]\left \{ {A+3B=5} \atop {2A-2B=2}} \right.[/tex]

Again, [tex]A=2, B=1[/tex] is a solution.

Either way, the solution is:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

Answer:

-11 -10 -9

Step-by-step explanation:

I'm not 100% sure

Answer:

-10 , -9 , -8

Step-by-step explanation:

An Integer is a whole number, regardless of the sign (positive or negative).

In this case, the numbers between -12 and -7 are:

-11 , -10 , -9 , -8

So you can decide which 3 integers you want.

~

Answer:

∠ ABC = 108°

Step-by-step explanation:

The 2 given angles are vertically opposite and are congruent , that is

4x + 8 = 3x + 33 ( subtract 3x from both sides )

x + 8 = 33 ( subtract 8 from both sides )

x = 25

Then

∠ ABC = 3x + 33 = 3(25) + 33 = 75 + 33 = 108°

Answer:

20x = 55

Step-by-step explanation:

First you have to add 3x to both sides of 11-3x=x

[tex]11-3x=x\\+3x=+3x\\11=4x[/tex]

Now that you have 11 = 4x you divide 4 on both sides [tex]\frac{11}{4} =\frac{4x}{4}[/tex]

11/4 = x

But you can't divide 11 by 4 unless you are looking for the decimal form of 11/4 which is 2.75

so now we take 11/4 or 2.75 depending on if you need your answer in fraction or as a decimal and replace that with x  however both will equal the number 55

[tex]20(\frac{11}{4})=55\\20(2.75)=55[/tex]

Answer:

Step-by-step explanation: