Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
Camile shaded 18/30 of a model write the decimal that represents the unshaded portion of the model
Answer:
.4
Step-by-step explanation:
Camile shaded 18/30 of a model.
Thus the unshaded portion of the model is:
30 - 18 = 12
12/30
12/30 = 0.4
what is the mixed number: 1 and 3/4 as a percent
Answer:
175%
Step-by-step explanation:
1 would be 100%
3/4 would be 75%
100%+75%=175%
You wanted to make the perfect banana split sundae. There are 9 items that you need and
they are locked away. In order to unlock these items, you must complete 9 tasks. The locks
could contain numbers, letters, or both. Unlocking a task will enable you to add an item to
your banana split. In order to complete the perfect banana split sundae, you must complete
all 9 tasks correctly and unlock all 9 missing items.
Answer:
25
Step-by-step explanation:
math
A rectangle has a length of 4 meters. The width is 2 meters more than the length. Work out the area.
Answer:
24 m^2
Step-by-step explanation:
Given data
Length= 4 meters
Width= 2+4= 6 meters
We know that the expression for the area of a rectangle is given as
A= Lenght* Width
A= 4*6
A= 24m^2
Hence the area is 24 m^2
The measure of one interior angle of a parallelogram is 50 degrees more than 4 times the measure of another angle
The measure of the smaller interior angle is
and the measure of the larger interior angle is?
Answer:
smaller ∡ = 26°
larger ∡ = 154°
Step-by-step explanation:
opposite angles are congruent
adjacent angles are supplementary
in this problem, the angles are supplementary
'x' = measure of smaller angle
x + 50 + 4x = 180
5x = 130
x = 26
The given information and the relationship between the angles of a
parallelogram can be used to find the interior angles.
The measure of the smaller angle is 26°The measure of the larger angle is 154°Reasons:
A property of a parallelogram is that the diagonally opposite angles are
equal, and the adjacent angles are supplementary.
Therefore, two of the four interior angles of a parallelogram are equal.
Let x and y represent the two angles of different measure in the
parallelogram
y = 4·x + 50°
y + x = 180°
Which gives;
y = 180° - x
Therefore;
180° - x = 4·x + 50°
180° - 50° = 4·x + x
130° = 5·x
x = 130° ÷ 5 = 26°
x = 26°y = 4 × 26° + 50° = 154°
y = 154°Therefore;
The measure of the smaller interior angle, x = 26°The measure of the larger interior angle, y = 154°Learn more about the properties of a parallelogram here:
https://brainly.com/question/9793817
HELP PLEASE!! not sure about this one!!
Answer:
y=4x
Step-by-step explanation:
help please i’ll give points !!
Answer: C :)
Step-by-step explanation:
It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.
Explain how to write x^2+5x+6 as the product of two linear factors. Use complete English and math sentences.
Answer:
(x + 3)(x + 2)
Step-by-step explanation:
Given
x² + 5x + 6
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 3 and + 2 , since
3 × 2 = + 6 and + 3 + 2 = + 5 , then
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
What is the greatest common factor of 46 and 16?
For the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards or downwards.
help please!
Answer:
Step-by-step explanation:
Find the vertex, in this case which is a maximum (-3,3), the axis of symmetry is a line that cuts it down the middle, vertically so the equation is x = -3, notice that is the same same x value for the vertex
Parabola opens downward
Increases when y < 3 and decreases when y > 3
I need help asap!! will give crown
Answer:
A. Rectangle
Step-by-step explanation:
Shown in the attachment are the four points graphed on a coordinate plane.
We can see that the opposite sides are parallel to each other and have the same length.
The answer cannot be B. Square because the side lengths of this quadrilateral are not all equal to each other.
The answer cannot be C. Rhombus because of the same reason as above.
The answer cannot be D. Trapezoid because the bases of the quadrilateral are not of different lengths.
Therefore, the answer must be A. Rectangle since the angles are 90° angles, and the opposite sides are parallel and equal.
Someone help please
Answer:
A=(b^2)h/2
Step-by-step explanation:
Which expression is equivalent to 28a - 7b?
A. 4(7a - 7b)
B. 7(28a - b)
C. 7(4a - b)
D. 7(a - 7b)
The ___________________________ of an object is how heavy the object is
Answer:
Mass
Step-by-step explanation:
Answer:
the answer is weight.
Step-by-step explanation:
hope this helps!! please mark brainliest.
Can somone please help me and explain very much appreciated and this is 7th grade math btw
Answer:
4 8.95h + 10 < 115
Step-by-step explanation:
Answer: 4) 8.95h + 10 < 115
Step-by-step explanation:
We know the inequality will be equal to less than 115 since it states that the order was less than $115.
The equation would look like: some amount of shin guards times 8.95 each + $10 shipping = less than $115
8.95h + 10 < 115
(h in the given equation is the amount of shin guards)
Which of the following statement(s) describes the rate of change of f over the interval 1.5 SXS 3? Select all that apply.
A. The rate of change is 1/2
B. The rate of change is 2
C. The rate of change is constant
D. The rate of change is increasing
Which expression is equivalent to the area of square A, in square inches?
A
10 in.
24 in.
(10)(24)
o
10(24)
Saun and Exit
Answer:
10^2+24^2
Step-by-step explanation:
got 100% on the quiz
Find the dimensions of the square or circle.
Complete question is;
Find the dimensions or, the square or circle. Area = 64π in²
Answer:
r = 8 inches
Step-by-step explanation:
We know that formula for area of a circle is; A = πr²
Where r is radius.
We are given Area as 64π in²
Thus;
πr² = 64π
π will cancel out to give;
r² = 64
r = √64
r = 8 inches
I’ll give brainliest!! Plz answer!
Look at the image for the question
HENCE , ANSWER IS,8/9
mark me as brainlist
Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((
Steve started with $250 and spent $20 per week. Chelsea started with nothing but saved $30 per week. Use x for time and y for savings.
Write an equation to represent Steve's situation.
Answer:
[tex]250 - 20x=y[/tex]
Step-by-step explanation:
As per the given problem, Steve starts with $250, and spent $20 a week, the problem mentions nothing about Steve's savings, therefore, one can assume that they didn't save anything. As the problem requests, parameter ([tex]x[/tex]) will be used for the time, and ([tex]y[/tex]) for the savings.
Steve's saving would be equal to his initial value, minus his expense, in essence;
[tex]250 - 20x=y[/tex]
The initial value, minus the amount spend per week multiplied by the week number will equal the savings left.
Answer:
y=250-(20x)
Step-by-step explanation:
A rectangular playground is 28m long and 15m wide. If all sides are
extended lm outward, what is the area of the enlarged playground ?
Answer:
464m^2
Step-by-step explanation:
Given data
Dimension of the regular playground
Length= 28m
Width= 15 m
We want to extend both sides by 1 m
Length= 28+1= 29m
Width= 15+1= 16m
Hence the area
Area=Length*Width
Area= 29*16
Area= 464m^2
The Area is 464m^2
Graph the inequality on the axes 2x-y>5
Answer: x>1/2y+5/2 look at the picture it going to be the graph
Step-by-step explanation: Hope this help :)
plzzz help me with this
Answer:
30 for the next one
Step-by-step explanation:
muiltply hour by bracelets per hour
Answer:
SHOWN IN PICTURE.
Step-by-step explanation:
Time in hours × (bracelet per hour)
Can someone help quick?
Answer:
D
Step-by-step explanation:
Please help me, I am completely lost...
What is the range of the progress of these projects?
Answer:
Quick question, did you find the answer?
Triangle DEF is on a coordinate plane with its
vertices located at D( – 3,5), E( – 3, - 2), and
F(3,0). What is the area of ADEF in square
units?
Answer:
[tex]21\ \text{square units}[/tex]
Step-by-step explanation:
The points are [tex]D(-3,5), E(-3,-2)[/tex] and [tex]F(3,0)[/tex].
Area of a triangle is given by
[tex]A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}[/tex]
[tex]\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}[/tex]
[tex]\Rightarrow A=21\ \text{square units}[/tex]
The area of the given triangle is [tex]21\ \text{square units}[/tex].
I need help on this. Can someone explain it?
Answer:
noooooooooooooooooooooo
18. What is the equivalent fraction of 8/80?
Answer:
1/10
Step-by-step explanation:
8/80
divide numerator and denominator by 8
8÷8=1
80÷8=10
Elianna studied data collected on the school hockey team for one season. She noticed that a player on the team had 13 successful shots out of a total of 50 attempted shots. To find the percentage of the total shots attempted by this player that were successful, Elian set up the equivalent ratios below.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but based on the information given in the question, since she noticed that a player on the team had 13 successful shots out of 50 attempted shots.
The percentage of the total shots attempted by this player that were successful will be:
= 13/50 × 100
= 26%