The slope of a line is 7/10. The point (-10, -9) is on the line. Determine the equation of this line.

Answer:

B

Step-by-step explanation:

They are alternate interior angles so that means they are equal

4x - 30 = 2x

2x = 30

x = 15

Answer:

A

Step-by-step explanation:

A prime number only has 2 factors, that is

1 and the number itself

factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

factors of 22 are 1, 2, 11, 22

factors of 33 are 1, 3, 11, 33

factors of 37 are 1, 37

Therefore 37 is a prime number

Answer:

[tex]C=68.4[/tex]

Step-by-step explanation:

[tex]Circumference=2\pi r[/tex]

Pi = 3.142

r (radius) = 10 cm

[tex]C=2(3.142)(10)[/tex]

[tex]C=(6.84)(10)[/tex]

[tex]C=68.4[/tex]

Therefore, circumference of a circle with 10 cm radius is 68.4.

I hope this helps......

Answer:

A. The tree provides shelter for the ants, and the ants help the tree to stay alive

9514 1404 393

Answer:

  A.  (0, -3)

Step-by-step explanation:

Graphing the given points shows you the y-intercept is between them. The x-coordinate of the y-intercept is always 0, so the only viable answer choice is ...

  (0, -3)

Answer:

Step-by-step explanation:

when it touch the ground,y=0

-16x²+232x+134=0

-16(x²-29/2 x+(-29/4)²-(-29/4)²)=-134

-16(x-29/4)²-16(-861/16)=-134

-16(x-29/4)²+861=-134

-16(x-29/4)²=-134-861

(x-29/4)²=-995/-16=995/16

x-29/4=±√995/4

rejecting negative sign

x=29/4+√995/4=(29+√995)/4≈15.14 second

Answer:

y -4 = 1/6(x-24)

y = 1/6x -2

Step-by-step explanation:

We can point slope form

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y -4 = 1/6(x-24)

Or we can write slope intercept form

y = mx+b where m is the slope and b is the y intercept

Substituting the points

4 = 1/6(24)+b

4 = 6+b

4-6 = b

-2 =b

y = 1/6x -2

Answer:

[tex]y = mx + c \\ 4 = (\frac{1}{6} \times 24) + c \\ 4 = 4 + c \\ c = 0 \\ y = \frac{1}{6} x[/tex]

Answer:

A: [tex]f(x)=(4x+5)(x-3)[/tex]

B: [tex](-\frac{5}{4} , 0)[/tex] and [tex](3, 0)[/tex]

C: They are parallel, which means they have no endpoint.

Answer:

450 jumping jacks

Step-by-step explanation:

f(10) = 45 (10)

45 * 10 is just 450 :)

Answer:

450.

Step-by-step explanation:

f(10) = 45 * 10 = 450 jumping jacks.

Answer:

tan angle = x/5.

Step-by-step explanation:

If I understand your description,

tan angle at bottom of ramp = 1.2/3.

Then tan angle = x/5.

Check my thinking.

Answer and explanation:

To construct a circle, draw a line that represents the diameter of the circle. Bisect the line so that it is a perpendicular bisector of the diameter of the circle. Place your compass at the bisection point/midpoint and draw an arc or better still the whole circle.

Theorem: the perpendicular bisector of a chord passes through the center of a circle.

Note: a diameter of a circle is a chord that passes through the center of a circle.

Answer:

0.06

Step-by-step explanation:

Given data:

[tex]1.8(10^{5})[/tex] divided by 3×[tex]10^{6}[/tex]

Now,

[tex]\frac{(1.8)10^{5} }{3(10^{6}) } \\=0.6(10^{5-6} )\\=0.6(10^{-1} )\\=0.06[/tex]

Answer will be 0.06

The correct standard form is 0.06.

1.8 x 10⁵ divided by 3 x 10⁶

(10)ᵃ × (10)ᵇ = (10)ᵃ⁺ᵇ

(10)ᵃ ÷ (10)ᵇ = (10)ᵃ⁻ᵇ

(1.8 x 10⁵)/3 x 10^6 = 6 x 10⁻²

6/10²  = 0.06

Therefore, the standard form is 0.06.

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Answer:

it is right bro x+ 2 .......mark me brainiest please

[tex]\longrightarrow{\green{- 9 {x}^{2} + 14x + 16}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \sqrt{49} + [ \sqrt{81} - x \: (9x - 14) ] \\ \\ = \sqrt{7 \times 7} + [ \sqrt{9 \times 9} - 9 {x}^{2} + 14x] \\ \\ = \sqrt{( {7})^{2} } + [ \sqrt{ ({9})^{2} } - 9 {x}^{2} + 14x ] \\ \\ (∵ \sqrt{ ({x})^{2} } = x ) \\ \\ = 7 + (9 - 9 {x}^{2} + 14x) \\ \\ = 7 + 9 - 9 {x}^{2} + 14x \\ \\ = - 9 {x}^{2} + 14x + 16[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

The answer is the third one, x - 7 < 4

Step-by-step explanation:

Answer:

Correct to 1dp

127.3 cm = 127.0 cm

86.5 cm = 87.0 cm

Upper limits:

127.0 cm = 127.05 cm

87.0 cm = 87.05 cm

Lower Limits:

127.0 cm = 126.95 cm

87.0 cm = 86.95 cm

upper limit of perimeter of rectangle:

P = 2(l+w)

= 2(127.05 + 87.05)

= 2(214.1)

= 428.2 cm

lower limit of perimeter of rectangle:

P = 2(l+w)

= 2(126.95 + 86.95)

= 2(213.9)

= 427.8 cm

therefore;

[tex]427.8 cm \leqslant perimeter < 428.2cm[/tex]

The upperbound and the lowerbound for the perimeter of the rectangle are;

Upper bound perimeter = 428.2 cm

Lower bound perimeter = 427.8 cm

To get the upper bound and Lower limits for the length and width, we need to first approximate them to 1 decimal place to get;

Length; 127.3 cm ≈ 127 cm

Width; 86.5 cm ≈ 87 cm

Thus;

Upper limit of length = 127.05 cm

Lower limit of length = 126.95 cm

Upper limit of width = 87.05 cm

Lower limit of width = 86.95 cm

Formula for perimeter of rectangle is;

P = 2(length × width)

Thus;

Upper bound perimeter = 2(127.05 + 87.05)

Upper bound perimeter = 428.2 cm

Lower bound perimeter = 2(126.95 + 86.95)

Lower bound perimeter = 427.8 cm

Read more on perimeter of rectangle at; https://brainly.com/question/17297081

Answer:

[tex]3 {}^{a - 4b} = 3 {}^{18} [/tex]

The value of the equation 3ᵃ / 81ᵇ = 3¹⁸

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a - 4b = 18   be equation (1)

Now , the value of the equation 3ᵃ / 81ᵇ = A

On simplifying the equation , we get

81ᵇ = 3⁴ᵇ

And , 3ᵃ / 81ᵇ = 3ᵃ / 3⁴ᵇ

On further simplification , we get

3ᵃ / 3⁴ᵇ = 3ᵃ⁻⁴ᵇ

And , substituting the values from equation (1) , we get

3ᵃ⁻⁴ᵇ = 3¹⁸

Hence , the equation is 3ᵃ⁻⁴ᵇ = 3¹⁸

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Answer:

Option 4

Step-by-step explanation:

2x² + 32 = 0

2x² = -32

x² = -16

sqrt(-16) got no real solution. (no real number multiplied by itself will be negative)

Answer:

D

Step-by-step explanation:

2*3^2

2*9

18

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {D. \:18}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 \: ( \: {4 - 1} \: )^{2} [/tex]

[tex] = 2\: (\: {3} \: )^{2} [/tex]

[tex] = 2 \: ( \: 3 \times 3 \: )[/tex]

[tex] = 2 \times 9[/tex]

[tex] = 18[/tex]

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

a = 120 cm²

Step-by-step explanation:

n = number of sides

edge length

40/n

divide the polygon into n congruent triangles

a = (1/2)(edge * apothem) * number of triangles

a = (1/2)(40/n)(6) * n

n cancels out

a = (1/2)(40)(6)

a = 120 cm²

Answer:

4 cents

Step-by-step explanation:

4.48 divided by 112 = 0.04

[tex]\longrightarrow{\green{A.\:2 \: ( x + 3)(x + 3) }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 {x}^{2} + 12x + 18[/tex]

Taking 2 as common factor, we have

[tex] = 2 \: ( {x}^{2} + 6x + 9) \\ = 2 \: ( {x}^{2} + 3x + 3x + 9)[/tex]

Next, we take [tex]x[/tex] as common from first two terms and 3 from last two terms,

[tex] = 2 \: [x(x + 3) + 3(x + 3)][/tex]

Taking the factor [tex](x+3)[/tex] as common,

[tex] = 2 \: ( x + 3)(x + 3)[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

It only has one x intercept

Step-by-step explanation: when you graph it there is only one point where the line meets the x intercept

Answer:

Step-by-step explanation:

43 + 24 + 57 + x = 180 degree (being sum of interior angles of a triangle)

124 + x = 180

x = 180 - 124

x = 56 degree

in small triangle

57 + 24 + z = 180 degree (sum of interior angles of a triangle )

81 + z = 180

z = 180 - 81

z = 99 degree

in big triangle

x + 43 + y = 180 degree (sum of interior angles of a triangle )

56 + 43 + y = 180

99 + y =180

y = 180 - 99

y = 81 degree

The value of x= 56°

Hope it helps you...

Answer:

Step-by-step explanation:

The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x.  Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.

To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1).  We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3).  Finally, we translate the entire new graph downward 5 units.

Answer:

i think the answer is Options B, C and E holds.

Step-by-step explanation:

this makes options B and C a choice:

Given the expression: 12x+18xy-24y

Factors of 12x=1,2,3,4,6,12 and x

Factors of 18xy=1,2,3,6,9,18,x and y.

Factors of 24y=1,2,3,4,6,8,12,24 and y.

next for E this is why its a choice:

12x+18xy-24y=6(2x+3xy-4y)

Answer:

bce

Step-by-step explanation:

Answer:

15.25%

Step-by-step explanation:

The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?

We solve using the z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean = μ = 12.34 ounces

σ is the population standard deviation = σ = 0.04 ounce

For x = 12.24

z = 12.24 - 12.34/0.04

z = -2.5

Probability value from Z-Table:

P(x = 12.24) = 0.0062097

For x = 12.30

z= 12.30 - 12.34/0.04

z = -1

Probability value from Z-Table:

P(x = 12.30) = 0.15866

Hence, the probability of the juice bottles contain between 12.24 and 12.30 ounces of orange juice

P(x = 12.30) - P(x = 12.24)

= 0.15866 - 0.0062097

= 0.1524503

Therefore, the percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice is calculated as:

= 0.1524503 × 100

= 15.24503%

= 15.25%

Answer:

2.7549211e+26

hope this helps!

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Answer:

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