Answer:
-x² - 10x -21 = 0
x² +10x +21 = 0
x² + 7x + 3x + 21 = 0
x ( x+7) + 3 (x+7) = 0
(x+3) (x+7) = 0
when (x+3) = 0,
x = -3
Again,
(x+7) = 0
x = -7
Answer:
7 and 3
Step-by-step explanation:
-b +/- sqrt(b^2+4ac)/2a
10 +/- sqrt(100-84)/2
10 +/- 4/2
7 and 3
aub,
Given that
is it ever possible to have
Sa+b=ſa+b?
Explain.
Answer:
Yes it is possible
Step-by-step explanation:
How do you find Sin A + B?Now, put it all together (9). Sin (A + B) is the two parts of the opposite - all divided by the hypotenuse (9). Putting that into its trig form: A very similar construction finds the formula for the cosine of an angle made with two angles added together.
Expanded form for 0.817
Answer:
Your number written in expanded form is:
0.8
+ 0.01
+ 0.007
Answer:
0.8
+ 0.01
+ 0.007
Step-by-step explanation:
I think
A swimsuit has been marked down from an original price of $75 to $56.25. By
what percent of the original price has the suit been marked down?
A cylinder has a height of 9 yards and a radius of 8 yards. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1808.64yarde cubed
Step-by-step explanation:
cylinder = 9(3.14(8^2))
9(3.14(64)) = 1808.64
Jesse's mother needs 24 feet of fabric to make curtains for all of her windows. The fabric is sold by the yard. How many yards of fabric does Jesse's mother need to buy? A 3 yards B 8 yards c 12 yards D 15 yards
Pls correct answers.
Answer:
B: 8 yards
Step-by-step explanation:
3: feet in one yard
3/24=8
-1-3(-9)+(-5) evaluate
Answer:
21
Step-by-step explanation:
The first thing we do is multiply -3 by -9 to get 27. (Two negatives multiplied cancels each other out). Now we solve for -1+27-5. The resulting answer is 21.
Helppppppppppppppppppp
Answer:
X=Y since x and y are alternating angles
A cone has base radius 9 cm and height 28cm find it's volume
DUE IN 20 MINS !!!!!!!!!!!!!!!
Answer:
Random, because he surveyed 30 random shoppers
A
D
B
С
E
F
Are the two triangles similar is so what is the identity that proves it?
f(x)= 5^x reflection in the y-axis followed by a translation 2 units up
A function assigns the values. The translation of the function f(x) when it is moved 2 units up is (5ˣ+2).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function, f(x)=5ˣ. Now, if the function is needed to be translated by 2 units, then +2 is needed to be added to the overall value of f(x). Therefore, the function will become,
f(x) = 5ˣ
f(x) = 5ˣ + 2
Hence, the translation of the function f(x) when it is moved 2 units up is (5ˣ+2).
Learn more about Function:
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Question 2,4,6 I don’t understand the question
Step-by-step explanation:
2.
an isometry means the distance between any two points in the original space is the same as the distance between them in the second space.
rotation and translation are such isometries. they leave the original shape or curve unchanged in its inner structure but move it around.
so, the shapes in this question are visibly an isometry. the size and structure of the pre-image is the same as for the image. only its position changed.
4.
(x, y) -> (x-3, y+5) means that every point of the shape or curve is moved (translated) 3 units to the left (the x coordinate is decreased) and 5 units up (the y coordinate is increased).
6.
(x, y) -> (x+7, y-2) -> (x-3, y+2)
this means that first every point of the shape or curve is moved (translated) 7 units to the right and 2 units down, and then 3 units to the left and 2 units up.
in the end this means that every point moved 4 units to the right (no up or down changes, as the intermediate changes canceled each other out).
Part C
What is the area of the whole target?
Select the correct answer.
A) 38
B) 144
C) 361
D) 400
Answer:
see the attachment photo.
Answer:
I believe it would be Option A) 38
Use the zero product property to find the solutions to the equation x2 + x - 30 = 12
O x=-7 or x=6
Ox=-7 or x= -6
O x=-6 or x=7
O x= 6 or x=7
In gym class students were asked to form nine equal groups. If there were 16 students in each group, then how many total students were there?
Answer:
there are 144 students in total
Describe the transformations necessary to transform the graph of f(x) into that of g(x).
Using translation concepts, it is found that the transformations necessary to transform the graph of f(x) into that of g(x) are given as follows:
Reflection over the y-axis. Horizontal stretch by a factor of 2.Shift left 3 units.Reflection over the x-axis.Shift down 1 unit.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The original function f(x) is given by:
[tex]f(x) = \sqrt{x}[/tex]
The transformations are as follows:
Inside the domain, the function was multiplied by -1/2 and 3 was added. Hence the function was reflected over the y-axis, horizontally stretched by a factor of 2 and shifted left 3 units.Outside the domain, in the range, the function was multiplied by -1 and 1 was subtracted, hence the function was reflected over the x-axis and shifted down one unit.More can be learned about translation concepts at https://brainly.com/question/4521517
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2x-y=2 4x+y=4 express each solution as an ordered pair
Answer: 2x-y=2= y=−2x+2
4x+y=4= y=-4x+4
Step-by-step explanation:
Answer: if you Solve by Substitution you get (point form: (1, 0)
(equation form: x = 1, y = 0)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Solve for x:
y = −4x + 4
y = 2x − 2
One angle of an isosceles triangle measures 80°. What measures are possible for the other two angles?
Answer:
80 degrees and 20 degrees.
Step-by-step explanation:
Isosceles means two angles are the same. If one angle is 80 degrees that means another angle is 80 degrees. The sum of all angles is 180 degrees. 80 degrees + 80 degrees = 160 degrees. After you do that you subtract 160 from 180 to get 20 degrees.
A circle has a circumference of 33 inches. What is
the area of the circle?
Answer: Circle
Solve for area
A≈86.66in²
C Circumference
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=332
4·π≈86.65987in²
Step-by-step explanation:
If (x+42)+3x = 90 what is x
Answer:
X=12
Step-by-step explanation:
First, take the term out parenthesis being careful to manage the sign of individual term carefully :
x+42+3x=90
Next , subtract 42 from each side of the equation to isolate the x term while keeping equation balance :
x+42-42+3x=90-42
x+0+3x=48
x+3x=48
(1+3)x=48
4x=48
Now, Divide both side of equations by 4 to slove of x while keeping equation balance :
4x/4=48/4
x=12
Here,
(12+42)+3*12=90
54+36
90
solve the value of s (4s+8)54
Answer:
2
Step-by-step explanation:
Which Fractions have a Least Common Denominator of 45
A) 2/3, 1/6, 1/5
B) 2/3, 1/9, 1/15
C)2/3, 1/5, 1/3
D) 2/27, 1/7, 1/3
==========================================================
Reason:
For choice A, the LCD is 30 since
2/3 = 20/301/6 = 5/301/5 = 6/30We get 30 from the fact that 5*6 = 30. Notice 2/3 and 1/6 already have the LCD of 6. We could rewrite the 2/3 into 4/6 to help show this better. Effectively we want to find the LCD of 4/6, 1/6, 1/5
Cross choice A off the list because we want an LCD of 45 instead of 30.
--------------------
Choice B is the answer because
2/3 = 30/451/9 = 5/451/15 = 3/45What we can do is find the LCD of 2/3 and 1/9 to get 9. The 2/3 turns into 6/9. This means we need to find the LCD of 6/9, 1/9, and 1/15
Multiply the two unique denominators to get 9*15 = 135, then divide by the GCF 3 to get 135/3 = 45.
Recall that LCD(x,y) = (x*y)/GCF(x,y)
--------------------
We can stop here since we know choice B is the answer.
But if you wanted to continue, then the LCD of 2/3, 1/5 and 1/3 is 3*5 = 15. This rules out choice C.
Choice D can be ruled out because the LCD is 27*7 = 189.
Please help me asap I have attached a screenshot ( with explanation)
Answer:
306 m
Step-by-step explanation:
distance between her house and the third point:
280 - 10 = 270 m
distance between the third point and the beach:
164 - 20 = 144 m
We have a right triangle ,then we can apply the Pythagorean theorem:
[tex]\text{the distance between her house and the beach} =\sqrt{\left( 270\right)^{2} +\left( 144\right)^{2} } = 306\ m[/tex]
what additional information do you need to prove ABC congruent DEF by the SAS postulate
Answer:
C , third choice
Step-by-step explanation:
SAS
Side AE Congruent to Side EC simple as that
Hope it helped ! Mark me as Brainliest pls !
Directions: Determine the area of the shaded region of each figure. The polygons in each problem are regular polygons. You must include your calculations.
Problem 1
Imagine placing the nonpencil part of your compass at the center of both hexagons. Extend the compass so the pencil reaches the right-most point on the larger hexagon. Then sweep a full 360 degrees to form a circle. This surrounds the larger hexagon to form what is called the circumcircle. The circumradius is 6+6 = 12 feet.
If we know the circumradius r = 12 and the number of sides n = 6, then we can find the area of the larger regular hexagon using this formula
[tex]A = 0.5n*r^2*\sin(360/n)[/tex]
Your calculator must be in degree mode. This formula only works for regular polygons.
Let's use that formula to calculate the area of the larger regular hexagon.
[tex]A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*12^2*\sin(360/6)\\\\A \approx 374.122974[/tex]
Then do the same for the smaller regular hexagon that has circumradius of r = 6 this time. We still have n = 6 sides.
[tex]A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*6^2*\sin(360/6)\\\\A \approx 93.530744[/tex]
Now subtract the areas
374.122974-93.530744 = 280.59223
The green region has an area of roughly 280.59223 square feet.=========================================================
Problem 2
The formula we use here is
[tex]A = 0.25n*s^2*\cot(180/n)[/tex]
where
n = number of sides = 5 in this case for both figuress = side length = will be different values depending on which figure you focus on"cot" refers to the cotangent function, which is the reciprocal of tangent. Your calculator should support cotangent. If not, then you'd have to do 1/tan of the value of 180/n. In this case, n = 5 so 180/n = 180/5 = 36. So you either calculate cot(36) or 1/tan(36)Your calculator must be in degree mode.This formula only works on regular polygons. These are polygons with the same side lengths and same angles.Let's use that formula to calculate the area of the larger regular pentagon. It has side lengths of s = 8
[tex]A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*8^2*\cot(180/5)\\\\A = 0.25*5*8^2*\cot(36)\\\\A = 0.25*5*8^2*\frac{1}{\tan(36)}\\\\A \approx 110.110554\\\\[/tex]
The larger regular pentagon has area of roughly 110.110554 square cm.
Repeat those steps for the smaller pentagon where each side is now s = 6. Keep n = 5 the same.
[tex]A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*6^2*\cot(180/5)\\\\A = 0.25*5*6^2*\cot(36)\\\\A = 0.25*5*6^2*\frac{1}{\tan(36)}\\\\A \approx 61.937186\\\\[/tex]
Now subtract the two areas to get the area of the shaded green region.
110.110554 - 61.937186 = 48.173368
The green region has area of roughly 48.173368 square cm.Answer answer please please
Answer: The answer is the first choice ( >)
Step-by-step explanation: 4.3 × 10⁶ = 4300000 . 12.1 × 10⁵ = 1210000 . So 4300000 is greater than 1210000 . HOPE IT HELPS YOU . PLEASE GIVE BRAINLIEST . THANKS .
can i have some help with this question
Answer:25
Step-by-step explanation:
f(x) = x² - 5x + 1f(-3) = (-3)² - 5(-3) + 1f(-3) = 25
Which is the correct answer?
Answer:
Kings and hearts
Step-by-step explanation:
Two events are said to be mutually exclusive if they cannot occur at the same time:
Tossing a coin is not mutually exclusive because you need two events for mutual exclusion to occurChoosing a random card is not mutually exclusive you need two events for mutual exclusion to occurTurning left and turning right are mutually exclusive because you cannot do both actions at the same timeKings and hearts are not mutually exclusive because it is possible to select a King of hearts with one card.A certain radioactive element has a half-life of 35 days. If you had 100 grams of this element, the mass m of the element after t 35-day intervals is represented by m=100(0.5)^t. Find the approximate daily decay rate of this element.
A. 1.4%
B. 98.0%
C. 17.5%
D. 2.0%
Answer:
2%
Step-by-step explanation:
m = 100(.5)^(1/35) = 98 so 2 % is gone after 1 day
• How can you check whether a point is the solution to a system?
Answer:
In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically
Step-by-step explanation:
