Answer:
The slope of the graph is 10.
Definition of equilateral triangle
Answer:
An equilateral triangle has all its 3 angles the same.
Hope this helped. :)
Equilateral triangle:
An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.
Additionally, an equilateral triangle has three equal angles of 60 degrees.
Equilateral Triangle Perimeter:
In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.
In the event that ABC is an equilateral triangle, then its perimeter is;
Perimeter = AB + BC + AC
P = a + a + a
P = 3a [where "a" is the triangle's side length.]
To read more about "Equilateral Triangle" here:
brainly.com/question/10681095
Write the quadratic equation whose roots are - 5 and -4, and whose leading coefficient is 3.
Answer:
The quadratic equation is
3x^2+ 27x + 60
Step-by-step explanation:
Here, we have the roots -5 and -4 and the leading coefficient of 3
Mathematically, we simply have this done to the roots;
x = -5 implies x+ 5
x = -4 implies x + 4
The product of this two will be;
(x + 5)(x + 4)
= x^2 + 5x + 4x + 20
= x^2 + 9x + 20
we add the leading coefficient
that would be;
3(x^2 + 9x + 20)
= 3x^2 + 27x + 60
Felix surrounds a 12 in. by 8 in. photo with a frame that is x inches wide. Which quadratic function represents the combined area A of the picture and the frame?
A. A(x) = x^2 + 20x + 96
B. A(x) = x^2 + 40x + 96
C. A(x) = 4x^2 + 20x + 96
D. A(x) = 4x^2 + 40x + 96
Answer:
D: A(x) = 4x² + 40x + 96
Step-by-step explanation:
Dimensions of photo is;
Length; L = 12 inches
Width; W = 8 inches
Now, this picture is surrounded by a frame that is "x" inches wide. Thus, new dimensions are;
L_new = 12 + x + x = 2x + 12
W_new = 8 + x + x = 2x + 8
New area is;
A_new = (2x + 12) × (2x + 8)
A_new = 4x² + 24x + 16x + 96
A_new = 4x² + 40x + 96
A line passes through the points (0, 14) and (18, 15) . What is its equation in slope-intercept form?
Answer:
y= 1/18x + 14
Step-by-step explanation:
Well we can first right the equation like : to find the slope
14- 15
____ = -1/-18 = 1/18
0-18
Now we know the slope is 1/18
we can substitute one point in the equation and the slope to find the equation
let's take 0,14
14= 1/18 ( 0 ) + b
14=b
so b= 14
the y-intercept is 14
the equation is
y= 1/18x + 14
PLEASE HELP ASAP!!! i’ll mark brainlessly
1.5 km per hour
ngl i could be wrong :/
22/44 in simplest form?
Answer:
22/44, divide both sides by 22, then you would got 1/2
1/2. This is because 22 is half of 44, so we can simplify it into 1/2.
Whoevers types first i will mark brainliest
Answer:
hehehe
Step-by-step explanation:
Find an ordered pair that satisfies the function y=2x-12
Please help me with this equation, you are supposed to find x
Answer:
I believe its 2/3
Step-by-step explanation:
Brianliest for correct answer
Answer: i Think it would be 80
Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though
I WILL GIVE YOU BRAINLYEST!! PLSS HELP ME ASAP!!
write about how you
would find the Lateral Surface
Area vs the Total Surface Area
of the Rectangular Prism shown.
*DO NOT SOLVE*
A rectangle is 12 inches long and 2 inches wide. Find its area. A 22 square inches 14 square inches 24 square inches 26 square inches
Area of given rectangle = 24 square inches.
The correct option is C.
What is rectangle?A rectangle is cyclic: all corners lie on a single circle. ; It is equiangular: all its corner angles are equal (each of 90 degrees).
Given,
Length of rectangle = 12 inches
Width of rectangle = 2 inches
Area of rectangle = length × width
= 12 × 2
Area of rectangle = 24 square inches.
Hence, 24 square inches is the area of rectangle.
Learn more about rectangle here:
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s=ut+ 1/2 at²
u=10 a= -2 t= 1/2
work out the value of s
After 1 day, 300 copies of a book are sold. Each of the following days, 20 more copies are sold. Use an equation in point-slope form to model the sales of the book and determine how many copies will be sold after 15 days. copies
Answer:
the answer is 600!
Step-by-step explanation:
the formula would be... 300+20x when x=the amount of days, have a great day I hole this helped!
Answer:
300+20x, 600 total copies created.
Step-by-step explanation:
x= number of days.
20 papers per day.
20(15) is 300.
300+300=600
What is the value of tan(60°)?
A
12
30°
B
60°
14
Answer:
the answer is 1.7320508076
If triangles ADE and ABC shown in the figure below are similar, what is the value of X?
A) 4
B) 5
C) 6
D) 10
Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5
Step-by-step explanation:
and 0.5 x 12 is 6
The measure of the side length of the triangle is 6. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
If triangles ADE and ABC shown in the figure below are similar.
From the figure, we have
x / 12 = 2 / 4
x = 6
Then the correct option is C.
The complete question is attached below.
More about the triangle link is given below.
https://brainly.com/question/25813512
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4a) Why are the two triangles congruent? *
H
M
K
J
L
Answer:
SAS Congruency (see below)
Step-by-step explanation:
First, prove the two triangles congruent:
You should know that ∠HKL ≅ ∠MKL because of Vertical Angles Congruence Theorem because they're vertical angles.
If it's already given that HK ≅ MK and JK ≅ LK, then you can clearly see that you can use the SAS Postulate to prove ΔHKL ≅ ΔMKL.
For a flow chart proof for this, refer to the image:
Judy baked a pizza for lunch.The size of the pizza was 14 inches in the diameter. Find the area of the pizza.
1 1 point
Answer each of the following. Write your final answers in the blanks provided.
A building is 50 ft. high. At a distance away from the building, an architect observes that the angle of elevation to the top of the building is
28° How far is the observer from the base of the building? Round to the nearest foot.
Answer:
58
Step-by-step explanation:
57.5 round up. 58
Eng
Sofia uses 8 gallons of gas to drive 204 miles. At the same rate, how
many miles can Sofia drive using 18 gallons of gas?
Answer:
Sophia can drive 3672 miles using 18 gallons of gas.
Step-by-step explanation:
204 x 18 = 3672.
Factorise fully
70
+ 7z
Answer:
7(z+10)
Step-by-step explanation:
it is factored fully now
Hi. I need help with these questions (see image)
Please show workings.
Answer:
A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]
B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]
c: 2x
Step-by-step explanation:
To find the derivative of x raised to the nth power we use the following template
[tex]x^{n}=nx^{n-1}[/tex]
Something else to keep in mind is that
[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]
So knowing this we can rewrite a as follows
[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]
so we can use the template above and get
[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]
So that simplifies to
[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]
[tex]\frac{(x-1)^{-.5}}{2}[/tex]
[tex]\frac{1}{2\sqrt{x-1} }[/tex]
B: Same kind of deal here
[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]
[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]
[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]
C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get
2x
What is the best prediction of the amount of money earned when the lemonade stand has been open for 9 hours
Answer: $50
Step-by-step explanation: Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)
It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.
The digit 5 in 5³ is known as
Answer: it is called the base
Step-by-step explanation:
1) Determine the length of "x" in the following triangle and mention if you're solving
for a leg or a hypotenuse.. (5 pts.)
55
Answer:
X=48
Step-by-step explanation:
x^2+y^2=z^2
but in this case it's z^2-y^2=x^2
so 73^2= 5329
and 55^2=3025
5329-3025=2304
Square Root of 2304 is 48, meaning X=48
Hope this helps!
I get a 15% discount at Ann Taylor Loft. If I find a shirt I like for $20, how much will I have to pay for it?
Write the equation of the line that is parallel to y+2=5(x-1) and passes through the point (-1, 0) .
( 50 points )
Answer: y=2x-3
Step-by-step explanation: I looked it up.
PLEASE HELP!! I NEED THE ANSWER REALLY SOON!
Answer/ explaination
the answer is 108, not 180 because 9 goes into 7, 0 times but he put 8
please help meeeeeeee
1. SOCCER Suppose a youth soccer field has a
perimeter of 320 yards and its length measures 40
yards more than its width. Ms. Hughey asks her
players to determine the length and width of their
field. She gives them the following system of
equations to represent the situation. Use elimination to
solve the system to find the length and width of the
field.
2L + 2W=320
L - W = 40
Answer:
L = 100
W = 60
Step-by-step explanation:
2L + 2W = 320
-2L + 2W = -80
4W = 240
W = 60
L - W = 40
L - 60 = 40
L = 100