Which of the following are solutions to the equation 3x2 + 7x + 4 = 0
Select all that apply
O x=-1
O x=-4/3
x=3/4
x=1

Answer:

Step-by-step explanation:

radius=4 as it is tangent to x-axis.

y co-ordinate of center is 4 so radius=4

eq. of circle is (x-2)²+(y-4)²=4²

or x²-4x+4+y²-8y+16=16

or x²+y²-4x-8y+4=0

Final answer:

The standard equation of a circle tangent to the x-axis with center (2,4) is (x - 2)² + (y - 4)² = 16.

Explanation:

To write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4), we must recognize that the distance from the center of the circle to the x-axis is equal to the radius of the circle. Since the center is at (2,4), the distance to the x-axis (which is y=0) is 4 units; thus, the radius of the circle is 4.

The standard form of the equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r². Substituting the given center (2,4) and the radius 4 into this formula, we get:

(x - 2)² + (y - 4)² = 4²

Simplifying the radius squared term, we obtain the final equation:

(x - 2)² + (y - 4)² = 16

Answer:

The first choice, 8.64 sq. ft.

Step-by-step explanation:

Formula for area of triangle:

(Length x Height) / 2

4.8 * 3.6 = 17.28

17.28 / 2 = 8.64

A = 8.64 sq. ft. so, the first choice

Answer:

8.42ft square

Step-by-step explanation:

Base × height/2

base=4.8ft

height =3.6ft

4.8 × 3.6= 17.28

17.28/2=8.64ft

Answer:

A

Step-by-step explanation:

Recall the general equation for a straight line is

y = mx + b

where m is the gradient and b is the y-intercept

given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:

m = [tex]\frac{y1-y2}{x1-x2}[/tex]

in this case, x1 = -8, y1 = 11, x2 = 4, y2=7/2

applying these values to the formula for m will give

m = -(5/8)

We can see immediately that the only 2 possible answers are A or B.

If we substitute this back into the general equation, we get:

y = -(5/8)x + b

In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (-8,11)

11 = -(5/8) (-8) + b

11 = -(5/8) (-8) + b

11 = 5 + b

b = 6

hence A is the answer.

Answer:

1.8 x [tex]10^{13}[/tex]

Step-by-step explanation:

( 9 x 10²) (2 x [tex]10^{10}[/tex] )

= (9)(2) x  [tex]10^{10+2}[/tex]

=18 x [tex]10^{12}[/tex]

= 1.8 x [tex]10^{13}[/tex]

Answer:

(9x10^2)(2x10^10)

= 1.9 x 10^13 (In scientific notation)

Step-by-step explanation:

Expression to be simplified is given as:

(9x10^2)(2x10^10)

= 9x10^2x2x10^10

= 9x2x10^2x10^10

The base here in the expression is same so the power will add up:

= 18 x 10^(2+10)

= 1.8 x 10^12

Using Scientific notation on the expression, we know that the decimal point must after the first digit so that the number let us say x is such that x > 0 and x < 10. To move decimal one place back, we will multiply it with 10^1:

18 x 10^12

= 1.8 x 10 x 10^12

= 1.8 x 10^(1+12)

= 1.8 x 10^13

The function a(z) = 2z - 7 transforms into a(x + 1) = 2x - 5 when z is replaced with the quantity (x + 1)

The question given has a mathematical function defined as a(z) = 2z - 7. The problem is asking what the function would look like if instead z is replaced by quantity (x+1).

To solve this, replace z in the function with (x+1). As such, instead of multiplying z by 2, we are now multiplying (x+1) by 2. The equation would stand as a(x + 1) = 2(x+1) - 7. Distribute the 2 in the parenthesis, the equation simplifies to a(x + 1) = 2x + 2 - 7.

Therefore, a(x + 1) = 2x - 5 is the function when z is replaced with quantity (x + 1).

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To find a(x) when a(z) = 2z - 7, we replace z with (x+1) in the expression for a(z). Simplifying, we get a(x+1) = 2x - 5.

To find a(x) when a(z) = 2z - 7, we replace z with (x+1) in the expression for a(z). This gives us:

a(x+1) = 2(x+1) - 7

Simplifying, we get the values as -

a(x+1) = 2x + 2 - 7

a(x+1) = 2x - 5

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Answer:

C. 11, 1

Step-by-step explanation:

I could have sworn I already answered this. Oh well. I guess I can answer it again. Simply plug in -3 and 3 for x, then find the absolute value [ALWAYS POSITIVE].

Answer:

[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]

Step-by-step explanation:

Here we are supposed to find the distance between the two coordinates in a plane. The coordinates given to us are

(5,1) and (9,-6)

We can find the distance using distance formula. The distance formula is given as

[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]

Where

[tex](x_{2},y_{2}) ; (x_{1},y_{1})[/tex]

are the two coordinates

Hence

[tex]x_{2} = 9 ; y_{2}= -6\\x_{1}=5; y_{1}=1[/tex]

Substituting these values in the distance formula we get

[tex]D=\sqrt{(9-5)^{2} +(-6-1)^{2}}\\D=\sqrt{(4)^{2} +(-7)^{2}}\\D=\sqrt{16+49}\\D=\sqrt{65}\\[/tex]

Hence the Distance is  [tex]D=\sqrt{65}\\[/tex]

11+9=20

(11)^2-(9)^2=40

121-81=40

40=40

The difference of polynomials  (12x²-11y²-13x)-(5x²-14y²-9x) is 7x² +3y²-4x

Polynomials are sum of terms of the form kxⁿ , where k is a constant and n is any positive integer.

it is given in the question

To find the difference of the polynomials

(12x²-11y²-13x)-(5x²-14y²-9x)

to add or subtract a polynomial we subtract the like terms with same variable .

12x²-11y²-13x -5x²+14y²+9x

7x² +3y²-4x

Therefore the difference of polynomials  (12x²-11y²-13x)-(5x²-14y²-9x) is 7x² +3y²-4x .

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Answer:

C. 4.5

Step-by-step explanation:

Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about 4.5 volts at wide-open throttle (WOT).  

Answer:C. 4.5

Step-by-step explanation:

Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about _______ volts at wide-open throttle (WOT).  

C. 4.5

Answer:

A≈38.48ft²

C≈21.99ft

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

The area is 38.5 ft² and the circumference is 21.99 or 22 ft

Step-by-step explanation:

Find the area and the circumference of a circle with diameter 7 ft,

first,  Area of a circle is πr² or πd

D = 2r

7 = 7/2 = 3.5

π = 22/7

Area = πr²

A = 22/7 × (3.5)²

A = 22/7 × 12.25

A = 269.5/7

A = 38.5 ft²

Circumference of a circle is 2πd

C = 22/7 × 7

C = 154/7

C = 21.99

approximately 22.

Hope this helps!

Step-by-step Answer:

Given points: P1(-3,2), P2(6,2)

Slope given two points = (y2-y1)/(x2-x1)

= (2-2)/(6-(-3))

=0/9

= 0

Answer:

Slope = 0

Step-by-step explanation:

We are given the following points and we are to find the slope of the line which passes through these points:

[tex] ( – 3 , 2 ) [/tex] and [tex] ( 6 , 2 ) [/tex]

We know that the formula of the slope is given by:

Slope = [tex] \frac { y _ 2 - y _ 1 } { x _ 2 - x _ 1 } [/tex]

Slope = [tex] \frac { 2 - 2 } { 6 - (- 3 )} = \frac { 0 } { 9 } [/tex] = 0

Answer:

log_3(2x+15)=2  and log_4(-20x+4)=3

Step-by-step explanation:

Plug it in and see!

[tex]log_3(2x+15)=2\\log_3(2(-3)+15)=2\\log_3(-6+15)=2\\log_3(9)=2\\\text{ This is a true equation because } 3^2=9\\\\\\log_5(8(-3)+9)=2\\log_5(-24+9)=2\\log_5(-15)=2\\\\\text{ Not true because you cannot do log of a negative number }\\\\log_4(-20(-3)+4)=3\\log_4(64)=3\\\text{ this is true because } 4^3=64\\\\\\log_x (81)=4\\log_{-3}(81)=4\\\text{ the base cannot be negative }\\\\\\\\\text{ There is only two options here} \\\\log_3(2x+15)=2 \text{ and } log_4(-20x+4)=3[/tex]

Answer:

A and C

Step-by-step explanation:

F irst

O uters

I nners

L ast

We first need to expand the equation By finding what adds up to 16 and multiples to 48

X^2 + 16x + 48 = x^2 + 12x + 4x + 48.

According to the foil method

(a + b)(c + d) = ac + ad + bc + bd

ac = x^2

ad = 12x

bc = 4x

bd = 48.

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( 5^{\frac{3}{2}} \right)^{-\frac{2}{3}}\implies 5^{-\frac{3}{2}\cdot \frac{2}{3}}\implies 5^{-1}\implies \cfrac{1}{5}\implies 0.2 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf (256^{0.5})^{1.25}\implies [(2^8)^{0.5}]^{1.25}\implies [2^{8\cdot 0.5}]^{1.25}\implies [2^4]^{1.25}\implies 2^{4\cdot 1.25} \\\\\\ 2^5\implies 32 \\\\[-0.35em] ~\dotfill\\\\ ( 81^{-\frac{1}{6}} )^{\frac{3}{2}}\implies [(3^4)^{-\frac{1}{6}} ]^{\frac{3}{2}}\implies 3^{4\cdot -\frac{1}{6}\cdot \frac{3}{2}}\implies 3^{-\frac{12}{12}}\implies 3^{-1} \\\\\\ \cfrac{1}{3}\implies 0.33...[/tex]

C because if you divide the angle minus the feet you get 120

The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet is 120.7 feet.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

A portion of a hiking trail slopes downward at about an 84° angle.

The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet

cos θ=adjacent/hypotenuse

Let h be the hypotenuse, adjacent =120 ft, θ = 84°,

cos 84 = 120/h

h = 120/cos 84

h = 120 / 0.10 ft

h = 120.7 ft

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The characteristics a rhombus and a rectangle always have in common is opposite sides with equal length.

The right option is B. opposite sides with equal length

From the question,

We are to determine which of the given characteristics do a rhombus and a rectangle always have in common.

To determine which of the characteristics, we will list some of the characteristics of the two shapes

Characteristics of a Rhombus

Characteristics of a Rectangle

Now, from above,

We have that all the sides of rhombus are equal in length, which makes the opposite sides to be equal as well.

Also, among the characteristics of a rectangle is that, opposite sides are equal in length

Hence, the characteristics a rhombus and a rectangle always have in common is opposite sides with equal length. The right option is B. opposite sides with equal length

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The option B is correct. A rhombus and a rectangle always have opposite sides with equal length in common. This is a defining property of all parallelograms.

In geometry, both a rhombus and a rectangle are types of parallelograms. To determine what characteristics they have in common, we must identify their properties. A rhombus has all sides of equal length, but its angles are not necessarily right angles. In contrast, a rectangle has all angles as right angles, but its sides are not necessarily of equal length. Therefore, the characteristic that both a rhombus and a rectangle always have in common is:

This means that in both a rhombus and a rectangle, the opposite sides are parallel and equal in length, which is a defining property of all parallelograms.

Answer:

C. 120°

Step-by-step explanation:

m∠d = 150°

m∠ a = 90°

The sum of angles at a point add up to 360°

m∠b + m∠c +m∠e = 360° - (90° + 150°) = 120°

Answer:

c 120

Step-by-step explanation:

m∠d = 150°

m∠ a = 90°

The sum of angles at a point add up to 360°

m∠b + m∠c +m∠e = 360° - (90° + 150°) = 120°

s = number of students books

we know there are many student's books, so since there are "s", and each one weights 2.3 kgs, then all together must weight 2.3s, now the teacher's edition is just 1 alone so that's just 4.3 kgs.

[tex]\bf \stackrel{\stackrel{total}{weight}}{30}~~=~~\stackrel{students'}{2.3s}+\stackrel{teacher's}{4.3}+\stackrel{box's}{0.4}\implies 30=2.3s+4.7 \\\\\\ 30-4.7=2.3s\implies 25.3=2.3\implies \cfrac{25.3}{2.3}=s\implies 11=s[/tex]

Answer:

A. 19,958,400

Step-by-step explanation:

Answer:

Step-by-step explanation:

The point-slope form of an equationo f a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have

[tex]y+2=-2(x-5)\\\\y-(-2)=-2(x-5)[/tex]

Therefore we have

the slope: m = -2

the point: (5, -2) not (-5, 2)!!!

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

Convert:

[tex]y+2=-2(x-5)[/tex]           use the distributive property a(b + c) = ab + ac

[tex]y+2=-2x+10[/tex]         subtract 2 from both sides

[tex]y=-2x+8[/tex]

Answer:

1. 34.4°

2. 18.8°

3. 37.7°

4. 36.6°

5. 40.6°

6. 7.5

7. 12.3

8. 14.7

9. 22.0

10. 6.3

Step-by-step explanation:

1. The missing angle is found by the use of the sine.

Sine ∅= opposite/ hypotenuse

=13/23

sin⁻¹(13/23)=34.4°

2. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/50

Tan⁻¹(17/50)=18.8°

3. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/22

Tan⁻¹ (17/22) = 37.7°

4. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=21/28

Tan⁻¹ (21/28)=36.9°

5. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=24/28

Tan⁻¹ (24/28) = 40.6°

6. Missing side is calculated by considering the tan of 58°

Tan 58°=12/x

x=12/Tan 58°

=7.5

7.  Missing side is calculated by considering the sine of 43°

Sin 43°= opposite / hypotenuse

Sin 43 =x/18

x= 18 Sin 43

=12.3

8.  Missing side is calculated by considering the sine of 62°

Sin 62° = 13/x

x=13/Sin 62°

=14.7

9.  Missing side is calculated by considering the tan of 36°

Tan 36°= 16/x

x=16/Tan 36°

=22.0

10. Missing side is calculated by considering the sine of 23°

Sin 23° = x/16

x=16 Sin 23

=6.3

Answer:

see below

Step-by-step explanation:

3 > w/2

Multiply each side by 2

2*3 > w/2 *2

6 > w

w < 6

There is an open circle at 6 since there is no equal sign

The line goes to the left since w is less then 6

Answer:

AC= 10

Step-by-step explanation:

If AB is equal to 20 and C is the midpoint (meaning half of the segment), then you simply divide 20 by 2 which equals to 10.

Look at the image below for a drawing of the segment.

We know that the midpoint divides the segment in half. Which means that the length of the whole segment divided by 2 is equal to the length of one part of the segment

AC = AB / 2

AC = 20 / 2

AC = 10

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

never occur at the same time

Step-by-step explanation:

In Statistics, two events that are mutually exclusive never occur at the same time. For instance, in tossing a coin we can either land heads or tails but not both. The two events are said to be mutually exclusive.

Answer:

Step-by-step explanation:

Answer:

the answer is doubling the square on anywhere brainiest pls

Step-by-step explanation:

Each ticket cost $3

8+5x=23

5x=15

x=3

Answer: 26 dollars

Step-by-step explanation:

8-5=3

23+3=26

Answer:

The Choice N#1 will give more pizza for your money

Step-by-step explanation:

step 1

Find the area of one slice Choice #1

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=22/2=11\ in[/tex] ----> the radius is half the diameter

assume

[tex]\pi =3.14[/tex]

The area of one slice is equal to

[tex]A=(1/8)\pi r^{2}[/tex]

substitute

[tex]A=(1/8)(3.14)(11)^{2}[/tex]

[tex]A=47.4925\ in^{2}[/tex]

Divide the cost by the area

[tex]4.95/47.4925=0.10\frac{\$}{in^{2}}[/tex]

step 2

Find the area of the entire personal pizza Choice # 2

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=6/2=3\ in[/tex] ----> the radius is half the diameter

assume

[tex]\pi =3.14[/tex]

substitute

[tex]A=(3.14)(3)^{2}[/tex]

[tex]A=28.26\ in^{2}[/tex]

Divide the cost by the area

[tex]3.75/28.26=0.13\frac{\$}{in^{2}}[/tex]

therefore

The Choice N#1 will give more pizza for your money