The drawing shows how to___?
A. Construct an angle congruent to a given angle
B. construct an equilateral triangle
C. draw an angle bisector
D. draw a perpendicular line through a point on the line

Answer:

d)  [tex]2x^2+12x+4=13[/tex]

Step-by-step explanation:

Quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

The quadratic formula can be used to solve a quadratic equation in the form [tex]ax^2+bx+c=0[/tex]

From inspection of the given quadratic formula:

Therefore, plugging these values into the general form of the quadratic equation:

[tex]2x^2+12x-9=0[/tex]

If we add 13 to both sides we get:

[tex]2x^2+12x+4=13[/tex]

Answer: D

Step-by-step explanation:

The quadratic formula helps you find the roots of a quadratic function, specifically where the function equals zero. In order for an equation to match the use of the quadratic formula shown, the value of 'b' must be +12. It also demands that 'a' must be +2, and 'c' must be -9. Answer D has all these prerequisites.

Step-by-step explanation:

For a, you have the theorem right above.

If B is 120 then D should be 180-120=60

Since C is 90, E should be 180-90=90

Use the same theorem for b as well

Answer:

Most personal loans are smaller than mortgages and equity loans because the percentage of the interest rate on a home is higher than that of a personal loan.

Step-by-step explanation:

Answer:

AB ~= AB by Reflexive Property

Step-by-step explanation:

see attached

Answer:75/6

Step-by-step explanation: Y is proportional to x so 12 is proportional to 5 so if y=30 then it will be 30*5/12=150/12=75/6

many days until 1000 people are infected is 105

Answer: Total jam = 100kg

                 jams taken out on 2 occasions= 15  2/5kg    and  12  4/5 kg

                                                                       = 77/5  and  64/5

                    quantity of jam left in the container

                      = 100- (77/5 + 64/5)

                      =100- 141/5

                       = 100- 28.2

                       = 71.8 kg

Hope it helped u,

pls put thanks as well pls mark this as the brainliest

Answer:

The surface area of a trapezoidal prism is the amount of area occupied by the surface of a trapezoidal prism. A trapezoidal prism is a three-dimensional solid that is made up of two trapezoids on opposite faces which are joined by four rectangles called the lateral faces. Like all three-dimensional shapes

Step-by-step explanation:

The area occupied by the surface of a trapezoidal prism is known as the surface area of a trapezoidal prism. Since the trapezoidal prism has a flat base, thus we can say that it has a total surface area and a curved surface area. The surface area of any three-dimensional geometrical shape is the sum of the surfaces of that enclosed solid which equals the areas of all of the faces. A trapezoidal prism has two trapezoidal faces four rectangular faces. Thus, the simple formula for calculating the surface area of a trapezoidal prism involves the area of the base, the perimeter of the base, and the slant height of any side of the prism. The surface area of any geometric figure is always measured in square units like cm2, m2, ft, or cubits2.

Answer:

y = -0.5x – 11.5

so the slop is -1/2

this means it goes down by 1/2 every time

-0.5

Hope This Helps!!!

Graph (D) indicates a reflection across the x-axis.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

As we know that reflection across the x-axis is defined as reflecting a point across the y = x,  the x-coordinate, and y-coordinate places, and the line y = -x is the coordinates (x, -y).

So reflected across the x-axis: f(x) → -f(x),

⇒ (x,y) → (x , -y)

"A" is a y-axis reflection, "B" and "C" are basically points shifting to a different region of the graph, and "D" is a mirror reflection on the x-axis.

Hence, graph (D) shows a reflection across the x-axis.

To learn more about the transformations click here :

brainly.com/question/28029674

#SPJ5

Answer:

  20.3 ft

Step-by-step explanation:

You want to know the height of a building if a 33 ft ladder reaches from the top of the building to a point 26 ft from the bottom of the building.

The geometry can be modeled by a right triangle with hypotenuse 33 ft and one leg of 26 ft. The other leg length (the building height) is found using the Pythagorean theorem.

  26² + h² = 33²

  h = √(33² -26²) ≈ 20.3 . . . . ft

The building is about 20.3 feet high.

__

Additional comment

This ladder makes an angle of about 38° with the ground. For ladder safety, an angle around 70° is usually recommended.

<95141404393>

Answer:

50 km/h

Step-by-step explanation:

Avg. speed = distance / time

= 200 km / 4 hours

= 50 km/h

Answer:

3.86

Step-by-step explanation:

To solve this problem, we can use sine of the angle 75(which as a reminder, is opposite over hypotenuse):

sin(75)=x/4

x=4*sin(75)

If you plug that into a calculator, you get approximately 3.86.

The picture below shows how to set up the triangle.

This problem can be done by process of elimination.

Notice that in our equation, our slope is positive.

In all these graphs, we have a negative slope.

Slope just describes how steep a line is.

The only graph that has a positive or upward slope is D.

So this is our answer.

Answer:

D

Step-by-step explanation:

The y-intercept (the value of y when x =0) of this graph is y = 1/3(0) +2. So, (0, 2) should be the y-intercept. By looking at the graph of D you can tell that at point x = 0, y = 2. Also, the equation is written in the slope-intercept form (y =mx + b) The slope of this line is 1/3. If you choose any two points from the line and calculate the rise/ run by using the slope formula or by directly counting the units, you will find that it is indeed 1/3.

Answer:

x = 5, -7

Step-by-step explanation:

[tex]x^2+2x-35=0[/tex]

[tex]\mathrm{Solve\;with\;quadratic\;formula}[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-35\right)}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \:12}{2\cdot \:1}[/tex]

[tex]\mathrm{Separate\:the\:solutions}[/tex]

[tex]x_1=\frac{-2+12}{2\cdot \:1},\:x_2=\frac{-2-12}{2\cdot \:1}[/tex]

[tex]x=\frac{-2+12}{2\cdot \:1}:5[/tex]

[tex]x=\frac{-2-12}{2\cdot1}:-7[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=5[/tex] and [tex]x=-7[/tex]

~Learn with Lenvy~

Answer:

slope = 29

Step-by-step explanation:

Given that

the ordered pairs for this relationship are (gallons,  distance)

it means on coordinate plane

x represents gallons

y represents distance

thus,

two point on plane will be

A car traveled 261 miles on 9 gallons of gas

miles = 261 ---let it be represented by x1

gallons = 9---let it be represented by y1

(x1,y1) = (9,261)

miles = 145 ---let it be represented by x2

gallons = 5---let it be represented by y2

(x2,y2) = (5,145)

slope of two points (x1,y1) and (x2,y2) is given by

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

thus, slope of the above ordered pair

m = (145-261)/(5-9) = -116/-4 = 29

Thus, slope of the line through these two ordered pairs is 29.

Answer:4, 9, 14, 19, 24, . ... 1, 3, 9, 27, 81, is a geometric sequence. ... 0, 2, 6, 12, 72, does not have a set number it is multiplied or divided by each time.

Step-by-step explanation:

thats all

Answer: D.

1, 3, 9, 27, 81, . . .

Answer:

Step-by-step explanation:

32.75 + m =75

Answer:

hahsgdhfidnrhfibfrujdbfufnrie

Step-by-step explanation:

thanks

Answer:

Your answers are:

B: 147 degrees

C: 33 degrees

Step-by-step explanation:

a straight line is 180 degrees.

And b is 147 degrees, so 180 - 147 is 33 degrees.

Answer:

Yes, y=1

Step-by-step explanation:

So, QT and ST are congruent (equal to each other)

So, we just set the values equal to each other too

9y=y+8

subtract y from both sides, and you get:

8y=8

divide both sides by 8 and you get:

y=8

Answer:

the equation formula is y=mx+c

Step-by-step explanation:

the slope also represent a gradient

while the y intercept form equation is

x, o

o, y

Answer: #3: x=11

#4: x=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Aware root of 16 is square root of 4

Step-by-step explanation:

4×4= 16

Hope this helps!!!

Answer:

it is c

Step-by-step explanation:

Answer:

the correct answer is B. 2 & 4

Answer:

2 and 4

Step-by-step explanation:

This is because adjacent angles are next to each other.

Answer:

The coordinates of the points on the unit circle help us to find the tangent of each angle. As you can see with this equation, the tangent of an angle is equal to the y-coordinate divided by the x-coordinate. For each angle, start by dividing each y-coordinate by the x-coordinate to get the tangent of that angle.

i hoped this helped a little :D