Match the word with the definition!
An equation with two variables that makes up a straight line on a coordinate plane.
Lines that have the same slope and never intersect.
1. Slope Intercept Form
2. Linear Equation
A pair of numbers that are used to correspond to a point on a graph where the first number is the xcoordinate and the second number is the y. coordinate.
3. Y-Intercept
4. Quadrant
5. Ordered Pairs
A linear equation in the form y = mx +b, where mis the slope and b is the y intercept
6. Parallel Lines
The point where a graph crosses the y axis
One of the four regions into which the x and y axis separate the coordinate plane.

Answer:

[tex]85 cm^{3}[/tex]

Step-by-step explanation:

The formula to find the volume of a rectangular prism such as this is :

V = length * width * depth

To solve for this problem, we just plug in the values and multiply it all out.

[tex]9\frac{1}{8} *2*4\frac{2}{3}[/tex] = [tex]85\frac{1}{6}[/tex]

Therefore, the volume of this prism is 85[tex]cm^{3}[/tex].

Have a nice day and mark brainliest if possible - it always helps ;)

7

Step-by-step explanation:

90 degree angle so 90 - 55 = 35

5x= 35

5*7=35

Answer:

B

Step-by-step explanation:

The 2 angles sum to make the right angle , that is

5x + 55 = 90 ( subtract 55 from both sides )

5x = 35 ( divide both sides by 5 )

x = 7 → B

Answer:

First, you need to know how to multiply two monomials together. A monomial is a one term polynomial.

2x × 5x, 2x²y × 3xy², and ab² × 4b³ are examples of products of monomials.

To multiply monomials together, multiply the number parts together and multiply the variables together.

Here are the 3 examples above solved:

2x × 5x = 10x²

2x²y × 3xy² = 6x³y³

ab² × 4b³ = 4ab^5

To multiply two polynomials together, multiply every term of the first polynomial by every term of the second polynomial. then combine like terms.

Example:

(2x² + 3x - 8)(4x³ - 5x²) =

= 2x² × 4x³ + 2x² × (-5x²) + 3x × 4x³ + 3x × (-5x²) - 8 × 4x³ - 8 × (-5x²)

= 8x^5 - 10x^4 + 12x^4 - 15x³ - 32x³ + 40x²

= 8x^5 + 2x^4 - 47x³ + 40x²

This is a lot of material in very little space. You need to start with simple examples of multiplication of 2 monomials. Then practice multiplying a monomial by a binomial. Then practice with polynomials of more terms.

Answer:

More study and also hard

Answer: The answer is 20%

Answer:

Ans: 21

Step-by-step explanation:

Using BODMAS

12+36÷4

12+9

=21

Answer:

The New deal helped the economy during the great depression

Answer:

E. The thousandths place

Step-by-step explanation:

321 is hundreds

654 is thousands

987 is millions

Your answer would be E.

Step-by-step explanation:

The equation will form a circle because it in the form of

[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

First, let set the equation equal.

[tex](x - 7) {}^{2} + (y + 5) {}^{2} = 25[/tex]

Here the center will be (7,-5), and the radius of 5. The boundary line will be dashed

Since this is in the inequalities, we must find the solution set.

Plug in 0,0 for x and y and see if it's true.

[tex](0 - 7) {}^{2} + (0 + 5) {}^{2} > 25[/tex]

[tex]49 + 25 > 25[/tex]

[tex]74 > 25[/tex]

This is a true so we shade the region that includes 0,0

Since 0,0 has a greater distance from the center of the circle, 0,0 is outside of the circle, so our solution set will

be outside of circle.

Here a picture of graph,

Answer:

?- _ - _- -_ _- -

Answer:

What do you need help with dude

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

    Volume of triangular prism = area of the base x height

⇒                                           81 = area of base x 4.5

⇒                         area of base = 81 ÷ 4.5 = 18 in²

Answer:

18

Step-by-step explanation:

Answer:

120

1/1/8=8

8X15=120

hope this helps

Answer:

10

Step-by-step explanation:

20+30/5

=10

Answer:

13/24

Step-by-step explanation:

First: Convert any mixed numbers to fractions. ( 4 7/8 = 39/8 )

Then your initial equation becomes:

39/8÷9/1

Applying the fractions formula for division,

=39×1/8×9

=39/72

Simplifying 39/72, the answer is

=13/24

Answer:

13/24

Step-by-step explanation:

4 x 8 = 32 + 7= 39. Then it would be 39/8 ÷ 9/1 but you would have to do KCF. KEEP the 39/8, CHANGE the division sign into a multiplication sign, and FLIP the 9/1 to 1/9. 39 x 1= 39. 8 × 9= 72. Therefore, the fraction would be 39/72, but you still can simplify. So it would be 13/24.

Answer:

we need a picture of the triangle babe

Answer:

100,000

Step-by-step explanation:

70,000 people = 70% of the population.

Divide 70,000 by 70 to get the number of population per 1%:

70000 ÷ 70 = 1000

Therefore, 1000 people represent 1% of the population.

To calculate 100% of the population, multiply the number of people representing 1% by 100:

1000 x 100 = 100,000

Therefore, the population of the town = 100,000

Answer:

288q-185=236q-245

Answer:  288q - 185 = 236q - 245

Explanation:

A product is the result of multiplying. So "product of 288 and q" means "288 times q" or "288*q" or simply "288q".

The rest of the sentence your teacher gave you is probably self explanatory, so there's not much else to mention.

Answer:

B

Step-by-step explanation:

m(slope) = y2 - y1 / x2 - x1

-6 - - 6 / 7 - 3

= 0 / 4 = 0

Answer:

8x-4

i remember being asked this question but i dont remember how to do it and i am sorry for that... but i know that it is 8x-4

You can use the factored form of the quadratic polynomial and then find the simplified sum.

The numerator of the simplified sum of the given expression is [tex]4x + 6[/tex]

Quadratic polynomial with single variables are expressible in the form

[tex]ax^2 + bx + c[/tex] where x is the variable and a,b,c are constants.

Its factored form is

[tex]\dfrac{1}{4a^2} \times (2ax +b-\sqrt{b^2 - 4ac})(2ax +b+ \sqrt{b^2 - 4ac})[/tex]

The given expression is

[tex]\dfrac{x}{x^2 + 3x + 2} + \dfrac{3}{x + 1}[/tex]

Factorizing [tex]x^2 + 3x +2[/tex] using the aforesaid method, as we have got

a = 1, b = 3, c = 2,

thus, we have

[tex]ax^2 + bx + c = \dfrac{1}{4a^2} \times (2ax + b-\sqrt{b^2 - 4ac})(2ax +b + \sqrt{b^2 - 4ac})\\\\\begin{aligned}x^2 + 3x + 2 &= \dfrac{1}{4}(2x + 3 - \sqrt{9-8})(2x + 3 + \sqrt{9-8})\\\\&= \dfrac{1}{2}(2x+2) \times \dfrac{1}{2}(2x+4)\\&= (x+2)(x+1)\end{aligned}[/tex]

Thus, the given sum is

[tex]\begin{aligned}\dfrac{x}{x^2 + 3x + 2} + \dfrac{3}{x + 1} &= \dfrac{x}{(x+2)(x+1)} + \dfrac{3}{x + 1} \times \dfrac{(x+2)}{(x+2)}\\\\&= \dfrac{x + 3(x+2)}{(x+1)(x+2)} \\&= \dfrac{4x + 6}{(x+1)(x+2)}\\\end{aligned}[/tex]

Thus, the numerator of the simplified sum is [tex]4x + 6[/tex]

Learn more about fractions here:

https://brainly.com/question/14261303

Answer:

4x+6

Step-by-step explanation:

C on edge 2022

Answer:

y=5x-3

Step-by-step explanation:

y-intercept is always at the end

so it is y=mx-3

gradient replaces m

y=5x-3

Answer:

58 =x

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles

114 = 56+x

114 -56 =x

58 =x

The two given forces,

[tex]\mathbf F_1 = (-4 \, \mathbf i + 7 \, \mathbf j) \, \mathrm N[/tex]

[tex]\mathbf F_2 = (2a \, \mathbf i - a \, \mathbf j) \, \mathrm N[/tex]

have resultant

[tex]\mathbf R = \mathbf F_1 + \mathbf F_2 = ((2a-4) \, \mathbf i + (7 - a) \, \mathbf j) \, \mathrm N[/tex]

R is parallel to the vector 3i + j, which means the angle between these two vectors is either θ = 0° or θ = 180°. Then

[tex]\mathbf R \cdot (3 \, \mathbf i + \mathbf j) = \|\mathbf R\| \|3\,\mathbf i+\mathbf j\| \cos(\theta)[/tex]

[tex]\implies 3(2a-4)+(7-a) = \pm \sqrt{10} \, \sqrt{(2a-4)^2+(7-a)^2}[/tex]

[tex]\implies 5a - 5 = \pm \sqrt{50} \, \sqrt{a^2 - 6a + 13}[/tex]

[tex]\implies a - 1 = \pm \sqrt2 \, \sqrt{a^2 - 6a + 13}[/tex]

Solve for a :

[tex]a - 1 = \pm \sqrt2 \, \sqrt{a^2 - 6a + 13}[/tex]

[tex]\implies (a - 1)^2 = \left(\pm \sqrt2 \, \sqrt{a^2-6a+13}\right)^2[/tex]

[tex]\implies a^2 - 2a + 1 = 2a^2 - 12a + 26[/tex]

[tex]\implies 0 = a^2 - 10a + 25[/tex]

[tex]\implies 0 = (a - 5)^2[/tex]

[tex]\implies \boxed{a = 5}[/tex]

Answer:

c that is the answer because I took the quiz and it was right hope this helped if I'm wrong sorry

Answer:

-1

Step-by-step explanation:

See Image

hope this helps.

PLS MARK BRAINLIEST IF CORRECT ; )

Answer:

12x+20y

Step-by-step explanation:

x=students y=adults

12(students)+20(adults)

Answer:

c

Step-by-step explanation:

:)

Answer:

x=65*

Step-by-step explanation:

theres a small rectangle near x and it means that the angle is 90*

and the upper angle is 180

180+90+25+x=360*

x=65*

Answer:

∠x=65°

Step-by-step explanation:

The angles given are complementary angles ( 90°).

25°+∠x=90°

∠x=65°

Answer:

5.562148865... cm²

Step-by-step explanation:

we are asked to calculate the area of all 4 shaded (darker) triangles.

it is clear that all 4 triangles are the same size and have therefore the same area.

so, we need to calculate one area and then multiply by 4.

the area of a triangle is

baseline × height / 2

and once we have the baseline, we can calculate the height by using Pythagoras :

2² = height² + (baseline/2)²

so, let's find the baseline :

the white and the dark triangles are similar triangles. that means they have the same angles, and the ratio of the corresponding pairs of sides fit both triangles is the same for all 3 pairs.

so, we see the dark legs are 2cm compared to the large, white triangles of 4cm.

so, the ratio dark triangle / white triangle = 1/2

and therefore the dark baseline is 3×1/2 = 1.5cm

so,

2² = height² + (1.5/2)² = height² + (0.75)² = height² +(3/4)²

4 = height² + 9/16 = height² + 0.5625

height² = 4 - 9/16 = 64/16 - 9/16 = 55/16 = 3.4375

height = sqrt(3.4375) = 1.854049622...cm

the area of such a dark triangle is therefore

1.5 × height / 2 = 0.75 × height = 1.390537216...cm²

4 times this area (and therefore the total area of shaded triangles) is : 5.562148865...cm²