Answer:
(x + 2)(2x + 5)
Step-by-step explanation:
2x^2 + 9x + 10 =
This is a trinomial of the form ax^2 + bx + c, where a is not 1.
Step 1: Try to factor out a common factor.
In this case, there is no common factor in all terms.
We will now factor by grouping.
Step 2. Find the product ac.
ac = 2 * 10 = 20
Step 3. Find two factors of ac whose product is ac and whose sum is b.
In this case, we need two numbers whose product is 20 and whose sum is 9.
Those numbers are 4 and 5.
Step 4. Break up the middle term using the two numbers we just found.
9x becomes 4x + 5x
Now we have
= 2x^2 + 4x + 5x + 10
Step 5. Factor by grouping. Factor a common factor out of the first two terms. Factor a common factor out of the last two terms.
= 2x(x + 2) + 5(x + 2)
Finally, factor out the common factor, x + 2.
= (x + 2)(2x + 5)
Answer: (x + 2)(2x + 5)
Simplify the fraction below leaving your answer as a fraction where both the numerator and denominator are positive integers. 3⁹÷3⁵÷9³×3
Answer:
1/27
Step-by-step explanation:
A customer purchased 3 pairs of jeans (j) for $94.50. If each pair of
jeans costs the same amount, which equation could you use to find the
amount a single pair of jeans costs? *
Answer:
$31.50
Step-by-step explanation:
3j = $94.50
j = 94.50 / 3
j = $31.50
What is g(x)?
Please help!
Answer:
A
Step-by-step explanation:
It's just a normal quadratic graph but flipped meaning its just negative x squared
damian already has 23 plants in the backyard, and he can also grown 2 plants with every seed packet he uses With 36 seed packets, how many total plants can Damian have in the backyard
I am not sure why but it is causing me grief: "John walked 10 miles on Saturday. He walked twice as fast on the second 5 miles of his walk than he walked on the first 5 miles of his walk. Which expression represents the time he spent walking? Let x = John's speed on the first half of his walk."
Answer:
The total time spent in walking is [tex]\frac {15}{2x}[/tex].
Step-by-step explanation:
The speed is defined as the rate of change f distance or the ratio of the distance covered to the time taken.
Total distance covered by John = 10 miles
Let he walked with speed x for the first 5 miles and then he walked with speed 2 x for the second 5 miles.
Let the time spent for the first 5 miles is t' and for the second 5 miles is t''.
So,
[tex]t'=\frac{5}{x}\\\\t''=\frac{5}{2x}[/tex]
The total time spent in walking is
[tex]t = t'+ t''=\frac{5}{x}+\frac{5}{2x}\\\\t =\frac {15}{2x}[/tex]
Find the solution set of the inequality \qquad52- 3x < -14.52−3x<−14.52, minus, 3, x, is less than, minus, 14, point \qquad xxx
Answer:
x > 22
Step-by-step explanation:
Given the inequality;
52- 3x < -14
Subtract 52 from both sides
52 - 3x - 52 < -14 - 52
-3x < -14 - 52
-3x < -66
Divide both sides by -3
-3x/-3 < -66/-3
x > 22
Hence the required inequality is x > 22
Find the distance between the two points rounding to the nearest tenth (if necessary).(−2,−6) and (−7,6)
Answer:
distance = 13 units
Step-by-step explanation:
(-2 , -6)=(x1 , y1)
(-7 , 6)=(x2 , y2)
distance formula:
=[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
=[tex]\sqrt{{(-7-(-2)}^2 + {6-(-6)}^2}[/tex]
=[tex]\sqrt{(-7+2)^2 + (6+6)^2}[/tex]
=[tex]\sqrt{(-5)^2 + (12)^2}[/tex]
=[tex]\sqrt{25+144}[/tex]
=[tex]\sqrt{169[/tex]
=13 units
Write the fraction as a decimal number.
151
4
1000
Please help me
The bakery manager at the grocery store decides to have a 18% off sale on all bread. You decide to purchase 3 loaves of bread. Let b be the original price of a loaf of bread. Expand the expression 3(b − 0.18b). What do the terms of the expansion represent?
The given pattern continues. Write down the nth term of the sequence {a} suggested by the pattern. 7,-14,21,-28
Answer:
7_14-21-28-35-42-49 -56-63-70-77-84
Is this a function?
{(2, 9),(5, 8),(19, 9)}
Answer:
Yes
Step-by-step explanation:
As long as no x values repeat it is considered a function
In the given set no x values repeat therefore it is a function
Answer:
Yes.
Step-by-step explanation:
Each input has exactly one output. Therefore, this is indeed a function.
100 POINTS!!!! I do not understand what so do here!!!!
Answer:
[tex]\angle LMK\sim \triangle KMJ \sim \triangle LKJ[/tex]
Step-by-step explanation:
In the right triangle shown, two right triangles are inscribed in a third right triangle, with all three triangles sharing an altitude. Thus, all three right triangles are similar.
The second portion asks to draw them so that their corresponding sides and angles have the same orientation. I can't demonstrate that here but here are some tips:
Draw them so that it is clear that they are similarMake sure that their corresponding sides match upWhen writing your similarity statement, the order of which you list the triangles' vertices should be maintained, e.g. [tex]\angle LMK\sim \triangle KMJ \sim \triangle LKJ[/tex]Here is an example of the drawing portion from the CK-12 Foundation:
Answer:
Solution given:
In triangle LMK and triangle LKJ
<LMK=<JMK[ being right angle]
<MLK=<JLK[common angle]
<MKL=<LJK[remaining angle]
so
∆MLK~ ∆MLJ[By A.A.A.axiom]
∆MLK is similar to ∆MLJ
Prove that : (Cos285 + Cos 345 ) ÷ (Sin435- Sin 375 ) = root3
Answer:
you have mula or gula
Step-by-step explanation:
what do you have mula or gula
In a group of 65 persons 20 drink tea but not coffee, 38 drink tea and 15 take neither of the tow then find How many drink tea and coffee both?
Answer:
18
Step-by-step explanation:
38 drink tea but 20 drink tea only.
38-20 =18 drink tea.
What is the slope of the line shown?
Answer:
The slope of the line show is always writen in the form of rise/ run or y/x. Bassically the answer should look like a fraction. In this case, the slope of the line is 1/2. Graphing points on the line always make this process eaiser. From one point to another measure the rise/run or y/x and that will be your slope. Here the line rises one point and runs 2. The slope of the line is positive because it slants right in quadrant one of the graph.
Step-by-step explanation:
Please help me I would really appreciate it, If you can't that is okay but please try
Answer:
(3p+10q)
Step-by-step explanation:
9p^2 - 100q^2
Rewriting
(3p)^2 - (10q)^2
This is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(3p-10q) (3p+10q)
Answer:
( 3p + 10 q)
Step-by-step explanation:
9 p ² - l00 q ²
(3p)² - ( 10 q) ²
( a ² - b ² = ( a + b) ( a - b) )
( 3p - 10 q) ( 3 p + 10 q)
On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Triangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1). Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
Answer:
The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.
what is the factor of 3x^+9x-12
Answer:
Hi, there your answer will be 3(x−1)(x+4)
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
8
Step-by-step explanation:
First your rectangle
A = wl
A = 2 * 2
A = 4
Then one of your triangles
A = h b/2
A = 2 * 2/2
A = 2
you have 2 triangles, so the area is 4 + 4 from the rectangle
Answer:
Area = 8 units²
Step-by-step explanation:
Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.
Therefore, the area of the trapezoid is:
[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]
[tex]A=\frac{1}{2}(6+2)(2)[/tex]
[tex]A=\frac{1}{2}(8)(2)[/tex]
[tex]A=8[/tex]
This means that the area of the trapezoid is 8 units²
The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.
The answer should be 12. please help with explanation and calculation!!!
Answer:
AC =10 cm
Step-by-step explanation:
triangle ABC is a right angled triangle
side opposite to angle B is hypotenuse
so hypotenuse=AC
here AB and BC are other two smaller sides of a triangle.
so according to pythagoras theorem sum of square of two smaller sides of a triangle must equal to the square of hypotenuse.
Let AB=a , BC=b and AC=c(hypotenuse)
[tex]AB^{2}[/tex] + [tex]BC^{2}[/tex] = [tex]AC^{2}[/tex]
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]AC^{2}[/tex]
36 + 64 =[tex]AC^{2}[/tex]
100=[tex]AC^{2}[/tex]
[tex]\sqrt{100[/tex] =AC
10=AC
What is the slope of the line that contains these points?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{m=8}[/tex]
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{The Slope Formula:}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\------------\\m - \text{slope}\\\\(x_1,y_1) \text{ and }(x_2,y_2) - \text{points in the given function}[/tex]
⸻⸻⸻⸻
[tex]\text{\underline{Choosing two points from the table and applying the formula...}}\\\\m = \frac{34-26}{2-1}\\\\\boxed{m = \frac{8}{1}}[/tex]
⸻⸻⸻⸻
[tex]\text{The slope is 8.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
You spin the spinner twice.
What is the probability of landing on a 6 and then landing on a 9?
Write your answer as a fraction or whole number.
Answer:
(1/4)(1/4) = 1/16
Please please pleeeesse hurry if you see this and it’s right I with give brainliest
Answer:
forma is h * w / 2 and y and x have no value because there are no numbers to calculate.
Step-by-step explanation:
hope this helps!!!!!
Answer:
h * w/2 OR (base * height) / 2
/ = divide
* = multiply
Step-by-step explanation:
Calculate angle d in degrees.
2 points
125 cm
105 cm
35.06
40.03
42.25
44.89
Answer:
40.03
Step-by-step explanation:
& A bowl made in the shape of a hemisphere has diameter of 12 centimeters. When the bowl is
completely filled with soup, its total weight is 658.74 grams. If the soup weighs 1.02 grams per
cubic centimeter, which of the following is closest to the weight of the empty bowl?
12 cm
(1) 197 grams
(2) 264 grams
(3) 452 grams
(4 461 grams
Answer:
3
Step-by-step explanation:
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 3.14
r = radius = 12/2 = 6
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
(2/3) X (6^3) X 3.14 = 452.16 cm^3
1 cm = 1 gram
452.16g
Consider points R, S, and T.
Which statement is true about the geometric figure that
can contain these points?
O No line can be drawn through any pair of the points.
VX
O One line can be drawn through all three points.
O One plane can be drawn so it contains all three
points.
OTwo planes can be drawn so that each one contains
all three points.
Mark this and return
Save and Exit
Nelit
Submit
Answer:
Option D can be your answer
The true statement about geometric figure is
One plane can be drawn so it contains all three points.
What is Plane?A plane is a flat, endlessly long, two-dimensional surface. A plane is a two-dimensional analogue that can incorporate three dimensions of space, a line, and a point.
We have three points R, S and T.
So, there are infinitely many planes that pass through the line that contains the three points if the three points are colinear.
There is a plane that contains our three points if we have three separate points in 3-space.
So, For the three points R, S, and T, the third assertion is accurate.
Learn more about Plane here:
https://brainly.com/question/1962726
#SPJ7
can someone pls help for brainlest
Answer:
a = 6
Step-by-step explanation:
Area = 36 [tex]in^{2}[/tex]
Only one number will make this missing length true.
Obviously it's a square so one number x one number will equal to 36 [tex]in^{2}[/tex]
6 x 6 = 36 [tex]in^{2}[/tex]
Answer:
The missing length of square is 6 in.
Step-by-step explanation:
Here we have given the area of square = 36 in ²
We need to find the missing length of square .
note :- missing length = side all side of square are equal.Using formula
Area of square = ( side ) ²
put the values
36 in² = ( side)²
Finding the square root of 36 in²
√36 in ² = side
6 in = side
Hence, the side of square is 6 in.
Let p(x)=4x-18 and q(x)=-2x+k. For what value of k will the x intercept of q(x) be equivalent to the x intercept of p(x)
Answer:
Step-by-step explanation:
The x-intercept of a line exists where y = 0. So first we will set each of those lines = 0:
4x - 18 = 0 and -2x + k = 0. In order for the x-intercepts to be equal, we have to solve each equation for x and then set those expressions equal to each other.
4x = 18 so
x = 9/2.
-2x = -k so
x = k/2. If the x-intercepts are the same value, then
[tex]\frac{9}{2}=\frac{k}{2}[/tex] so, obviously,
k = 9
Answer this as fast as possible
Answer:
12
Step-by-step explanation:
just divide 7 1/5 ÷ 3 over 5 = 180/15
and that simplified is 12
16 + 36 drag numbers to the lines to create an equivalent expression in factored form
Answer:
4(4+9)
(if you are able to use 4 twice)