Answer:
(x + 5) • (x + 3) • (x - 2) • (x - 4)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is 8 .
-15 + -1 = -16
-5 + -3 = -8
-3 + -5 = -8
-1 + -15 = -16
1 + 15 = 16
3 + 5 = 8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 5
x2 + 3x + 5x + 15
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+3)
Add up the last 2 terms, pulling out common factors :
5 • (x+3)
Step-5 : Add up the four terms of step 4 :
(x+5) • (x+3)
Which is the desired factorization
(x + 5) • (x + 3) • (x - 2) • (x - 4)
A 7 cm x 5 cm rectangle sits inside a circle with radius of 6 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth. 7 cm 6 cm 5 cm
Answer:
78.1 cm^2
Step-by-step explanation:
Pi r^2= area of circle
3.14 x 6^2= 113.1
b x h = area of rectangle
5 x7 =35
113.1 - 35= 78.1
Please help. Whats the answer
Answer:
The answer is letter C.
I hope it help
2(x-5)=8x+14-2X
what is the first step
Answer:
Distribute the 2 through to the (x-5)
Step-by-step explanation:
After that you get x by itself and stuff like that, but first is distributing.
I forgot how to find a function in a graph
Answer:
This graph is NOT a function.
Step-by-step explanation:
A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.
Let me know if this helps!
Please help if possible :)
The legs of a right triangle measure 10 feet and 24 feet. What is the length of the hypotenuse, in
feet?
A. 27
B. 26
C. 34
D. 71,644
E. 48
Answer:26
Step-by-step explanation:
a squared+b squared= the hypotenuse squared
Input
10 squared+24 squared=the hypotenuse squared
100+576=676 squared
Now we need to find the square route of 676 because this is the hypotenuse squared, and we need to find the hypotenuse. And the square route of 676 is 26.
can someone plz help
Answer:
x=16
Step-by-step explanation:
What is the distance from A(-3, 6) to B(4, -3)?
\/~~32
\/~~-32
\/~~10
\/~~130
Answer:
D) √130
The distance of the given points
AB = √130
Step-by-step explanation:
Explanation:-
Given points are A(-3,6) and B( 4,-3)
The distance formula
AB = [tex]\sqrt{x_{2}-x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
AB = [tex]\sqrt{(4-(-3))^{2} +(-3-6)^{2}[/tex]
AB = [tex]\sqrt{(7)^{2} +(-9)^{2} }[/tex]
AB = [tex]\sqrt{49+81}[/tex]
AB = √130
help me please its hard and im like really not smart.
Answer:
B
Step-by-step explanation:
Answer:
B= <B
Step-by-step explanation:
The lines indicate the congruence, <G and <C both have the two lines
Simplify the following
16a^2b^3c^6/48ab^5c^6
Answer:
a/3b^2
Step-by-step explanation:
16a^2b^3c^6/48ab^5c^6
the c^6 cancel out, then simplify a^2 and a: 16a^2b^3/48ab^5 = 16ab^3/48b^5
Then divide 48 and 16 you get 3 16ab^3/48b^5 = ab^3/3b^5
And lastly, simplify b^3 and b^5 ab^3/3b^5 =
a/3b^2
Which of the following is a common denominator of 3/4 and 1/5
a.35
b.20
c.15
d.30
Answer:
b.20
Step-by-step explanation:
brainliest please
Answer:
The answer is 20
Step-by-step explanation:
Don deposited $3,500 for 5 years on 2.40 pa interest rate in his savings account how much simple interest will he earn
Solve the system by substitution y = -6x and -2x-7y=40
Answer:
x=4 y=8
Step-by-step explanation:
please help and show work
Answer:
[tex]since \: the \: three \: sides \: are \: not\: equal : \\ its \: a \to \:\underline{\boxed{scalene}} \\ line \: \overline{AB} = 2 \\ line \: \overline{AC}= 6 \\ line \: \overline{BC} = 2 \sqrt{10} [/tex]
Step-by-step explanation:
[tex]to \: prove \: this \to \: we \: will \: need \: to \: find \\ \: the \: lenghts \: of \: the \: sides \: of \: \\ this \: triangle \to \\ using \: the \: shortest \: distance \: between \: \\ two \: points \to \: d \: = \sqrt{( {x_2 -x_1) }^{2} + (y_2 - y_1)^{2} } \\ \\ \underline{ \boxed{\overline{AB}}} \\ line \: \overline{AB} \: has \: points \to: ( - 3, - 3) \: and \:( 3, 5) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +( 5 - 3))^{2} } \\ d = \sqrt{(0) + (4)} \\ d = \sqrt{4} \\ \boxed{ d = 2 = AB} \\ \\ \underline{ \boxed{\overline{AC}}} \\ line \: \overline{AC} \: has \: points \to: ( - 3, - 3) \: and \:( 5, - 1) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(0) + ( - 6) {}^{2} } \\ d = \sqrt{36} \\ \boxed{ d = 6 = AC} \\ \\ \underline{ \boxed{\overline{BC}}} \\ line \: \overline{BC} \: has \: points \to: ( 3, 5) \: and \:( 5, - 1) \\ d \: = \sqrt{ (5 - 3)^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(2) {}^{2} + ( - 6) {}^{2} } \\ d = \sqrt{40} \\ \boxed{ d =2 \sqrt{10} = BC} \\ its \: a \: scalene : since \: the \: three \: sides \: are \: not\: equal[/tex]
What is the area of the triangle shown below?
A. 84 sq. units
B. 42 sq. units
C. 20 sq. units
D. 10 sq. units
Answer:
42 sq. Units
Step-by-step explanation:
I took the test
The area of the triangle shown below is B. 42 sq. units, the correct option is B.
What is the area of a triangle?The area of the triangle is defined as the product of half the base and the height of the triangle.
We are given the parameters are;
Length of its base = b units
Its height = h units long,
Then we get:
Area of a triangle = 1/2 b h
We are given that;
Base= 14, Height= 6
Now,
The area of a right triangle is given by:
Area = (1/2) * base * height
Substituting the values;
Area = (1/2) * 14 * 6
= 42 square units
Therefore, the area of triangle will be 42 sq. units.
Learn more about area of a triangle;
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Joey has already taken 3 pictures at home, and he expects to take 1 picture during every
day of vacation. How many days will Joey have to spend on vacation before he will have
taken 13 pictures?
What is the value of x? Enter your answer in the box.
Solve each system of equations algebraically
y=x+2
y=-3x
Answer:
Your answer is: (-1/2, 3/2)
Step-by-step explanation:
y = x + 2
y = -3x
Use substitution by plugging the second equation into the first.
-3x = x +2
Subtract x from both sides to combine the variables.
-4x = 2
Divide both sides by -4 to isolate the variable x.
x = 2/-4
Simplify.
x = -1/2
Plug x into one of the equations to find y.
y = (-1/2) + 2
y = 3/2
Plug x into the other equation to confirm your answer.
y = -3(-1/2)
y = 3/2
Your answer is: (-1/2, 3/2)
-3 -5 1 0 3
Three different numbers from the list are added together to give the smallest possible total.
Complete the sum below.
may someone help me ASAP? I am solving polynomial equations and I don't know how to do it, here is the equation... x^4+11x^2=3x^2+128
Answer:
[tex]x=2\sqrt{2}[/tex], [tex]x=-2\sqrt{2}[/tex], [tex]x=4i[/tex], [tex]x=-4i[/tex]
Step-by-step explanation:
[tex]x^4+11x^2=3x^2+128[/tex]
First, we subtract 128 from both sides:
[tex]x^4+11x^2-128=3x^2[/tex]
Then, we subtract [tex]3x^2[/tex] from both sides:
[tex]x^4+8x^2-128=0[/tex]
Rewrite the equation:
[tex]u^2+8u-128=0[/tex]
Insert and solve:
[tex]u^2+8u-128=0\\u=8,u=-16\\x^2=8:x=2\sqrt{2},x= -2\sqrt{2} \\x^2=-16:x=4i,x=-4i[/tex]
Please give Brainliest
Please I really need help fast
Select the compound inequality shown on the graph.
+++
-5 -4 -3 -2 -1 0 1
N
3
4 5
A. x < -1 and x 24
B. x>-1 and x 34
C. -13x34
D. -13x<4
Answer:
B
Step-by-step explanation:
there is a hole at -1, so -1 is less than x and x is greater than or equal to 4
The compound inequality shown on the graph is x < -1 and x≥4.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have the graph for the inequality.
The first part of the inequality is
x < -1
and, the second part of inequality x≥4
So, the compound inequality is x < -1 and x≥4.
Learn more about Inequality here:
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Please help me with this homework
Step-by-step explanation:
a)20.52 approximately
b) 36.9 approximately
c)5.49 approximately 5.5
d)14.9 approximately 15
PLEASE HELP ME
PLEASE I WILL GIVE 25 point IF IT IS RIGHT!!
please help on this
Answer:
Try the first one but I think i that it
Step-by-step explanation:
Hope that helps
Help me please I need this grade!
Which expression is equivalent to 24x + 18y?
A) xy + 42
B) 6(4x + 3y)
C) 6xy(4 + 3)
D) 42xy
Step-by-step explanation:
The Answer is C I got it right on edge.
Answer:
B) 6(4x + 3y)
Step-by-step explanation:
I got that one wrong I got a 90 but B is it
Can someone please help I’ll mark you the brainiest
Answer:
try photo math it's meant for this kind of stuff
help Video
What is an equation of the line that passes through the points (2, 2) and (-2,8)?
3a + 7 + 2(3 + a)
[tex]what \: is \: anwser[/tex]
Answer:
5a + 13
Step-by-step explanation:
3a + 7 + 2(3 + a)
3a + 7 + 6 + 2a
5a + 13
In this cube each small square has a side length 1 unit what is the surface area of this cube
==============================================================
Work Shown:
x = side length = 1 unit
SA = surface area of cube
SA = 6x^2
SA = 6*1^2
SA = 6*1
SA = 6
The surface area of the cube is 6 square units.
-------------------------
Side note:
In general, each face is x*x = x^2 units in area, and there are 6 of those faces. This is why the general surface area is 6x^2. In this case, each face is 1 square unit, so all 6 faces lead to a total of 6 square units.
f(x)=5x+7 and g(x)=2x+3 find a) `(f+g)(x)` b) `(f-g)(x)`
X + 1 by x = 99 find the value of 100x by 2x square + 102x + 2
1
SEE ANSWER
give me brainilest
Answer:
[tex]a) \\(5x + 7) + (2x + 3) = 7x + 10 \\ b) \\ (5 x + 7) - (2x + 3) \\ = 5x + 7 - 2x - 3 \\ = 3x + 4[/tex]