Answer: 10.
Step-by-step explanation:
You are given the equation
(ax+b)(ax+c)=4x^2-25
Expand the Left hand side by opening the bracket.
a^2x^2 + axc + abx + bc
a^2x^2 + (axc + abx) + bc = 4x^2 + 0x - 25
From the equation above, we can see that;
a^2x^2 = 4x^2
a^2 = 4
a = √4
a = 2
Also, axc + abx = 0x
axc = abx
ax will cancel out from both sides
c = b
From the equation, bc = 25
But c = b. Substitute c for b
b^2 = 25
b = √25
b = 5 = c
b + c is therefore 5 + 5 = 10
Please help answer! It’s due today!
Answer:
need thiss
Step-by-step explanation:
If you have a gerbil, then you are a pet owner. Question 7 options: If you are not a gerbil, then you are not a pet owner. True If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets. If you do not have a gerbil, then you are not a pet owner. False; you could have a dog. If you are not a pet owner, then you do not have a gerbil. True
Step-by-step explanation:
If you are not a gerbil, then you are not a pet owner. False; if you are not a gerbil, you can be a human who owns pets.
If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets.
If you do not have a gerbil, then you are not a pet owner. False; you could have a dog or a cat.
If you are not a pet owner, then you do not have a gerbil. True, since if you do not own any pets, you will not have any animals, so you will not have a gerbil.
Hope this helps!
Answer:
If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets
Step-by-step explanation:
Will mark as Brainlist!
the pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.
y= 1/4x - 16
y = 4x − 16
y=1/4x + 16
y = 4x + 16
Answer:
y=1/4x + 16
Step-by-step explanation:
Answer:
cccccccccccccccccccccccccccc
C!
Find the missing segment
Answer:
? = 9.
Step-by-step explanation:
According to the AA Theorem, the two triangles are similar.
[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]
30 (? + 54) = 54 * 35
30? + 1620 = 1890
3? + 162 = 189
3? = 27
? = 9
Hope this helps!
Can you please say if the point is on the line?
Please help its eighth math!
Answer:
t and u are parallel lines
s and t are also parallel lines
Step-by-step explanation:
If two parallel lines are cut by a transversal ,
then in it
pair of alternate angle are equals, similarly vice versa
if pair of alternate angle are equals then lines are parallel
pair of corresponding angles are equal and vice-versa
for example
in the given problem
if line t and u are parallel (note we have assumed this to give example of parallel lines)
then angle 7 and 9 are called alternate angles
pair of angles 5 and 9 are corresponding angles.
________________________________________________
given
∠8 = ∠10 which are alternate angles for line t and u and s is transversal for it,
thus t and u are parallel lines
___________________________
∠1 = ∠3 as they vertically opposite angles
and we know that pair of vertically opposite angles are equal
given
∠1 = ∠7
thus
∠3 = ∠7
as pair of angles ∠3 and ∠7 are corresponding angles. and are equal and hence line s and t are also parallel.
another algebra problem i cant solve
Answer:
where is the problem?
Step-by-step explanation:
The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make?
Answer: 36 three-point field goals
Step-by-step explanation:
To solve this problem, set up a system of equations. Let's call the number of one-pointers [tex]w[/tex], the number of two-pointers [tex]x[/tex], and the number of three-pointers [tex]y[/tex]. We are trying to find [tex]y[/tex] here. We also know that [tex]w+x+y=85[/tex], because that is the total amount of baskets, and also that [tex]w+2x+3y=184[/tex], which is the total amount of points. We know that there were 22 free throws, so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are [tex]x+y=63[/tex] and[tex]2x+3y=162[/tex]. Solving the equations using our knowledge of systems of equations, you get that [tex]y=36[/tex]. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.
The number of two-point and three-point field goals they made is 27 and 36, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of two points basket be represented by x and the number of three points basket be represented by y.
Now, since the total number of basket is 85, out of which 22 were free throw. Thu, we can write the equation as,
22 + x + y = 85
Solving the equation for x,
x = 85 - 22 - y
x = 63 - y
Further given that the total point made is 184. Therefore, the total number of score can be written as,
22 + 2x + 3y = 184
22 + 2(63 - y) + 3y = 184
22 + 126 - 2y + 3y = 184
y = 36
Substitute the value of y in the first equation,
22 + x + y = 85
x = 85 - 22 - 36
x = 27
Hence, the number of two-point and three-point field goals they made is 27 and 36, respectively.
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A box with a volume of 16 $\text{cm}^3$ can hold 50 paperclips. How many paperclips could a box with a volume of 48 $\text{cm}^3$ hold?
Answer:
150 paperclips
Step-by-step explanation:
set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips
cross multiply so you get 16x = 2400
solve for x by dividing 2400 by 16
you should get x = 150
What is the volume of a right triangular pyramid whose base is 5 meters on each side and whose altitude is 4 meters?
Answer: 10 for each side but in total is 20
Step-by-step explanation: u multiply 5 x 4 = 20 divided by 2 to get 10 meters and another is 4 divided by 2 is 2 x 5 is 10 meters times 2 is 20 total
a+2=6 explain pkleaseeeeeeeeeeeeeeee
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▹ Answer
a = 4
▹ Step-by-Step Explanation
a + 2 = 6
Subtract 2 from both sides
2 - 2 = crossed out
6 - 2 = 4
Final Answer
a = 4
Hope this helps!
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Answer:
a=4
Step-by-step explanation:
If you are trying to find the value of a, it is simply 6-2. You can also check your answer by seeing if 4, the answer you found can be substituted into the equation while keeping the equation true. 4+2 does equal 6 so you know your right. Hope this helps!! :)
Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2400ft3.
The Volume of the smaller prism is 37.5 ft³.
What is a Prism?Prism is a three-dimensional structure that has identical polygon bases, and other faces are identical parallelograms.
The volume of the prism is determined by the formula
V = Bh
B is the base area and h is the height of the Prism.
The scale factor is given as 1/4, as the volume of the larger prism is given.
The volume of the larger prism is 2400 ft³
the side lengths will be multiplied by 1/4
Let the base area is for the larger prism the area for the smaller prism will be equal to
A = (1/16) a
The height of the larger prism is h.
Height of the smaller prism will be (1/4)h
The volume of the smaller prism = (1/16)*(1/4) Volume of the Larger Prism
The volume of the smaller prism = 2400 / (16*4)
The volume of the smaller prism = 37.5 ft³.
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Determine the points for the graph of the relation
x=2y2 + 6 using the y-values given in the table.
A. (-2, 14), (-1,8), (0, 6), (1,8), (2, 14)
B. (14,-2), (8, -1), (6,0), (8, 1), (14, 2)
C. (8,-2), (2,-1), (0, 0), (2, 1), (8, 2)
D. (2,-2), (4, -1), (6,0), (8, 1), (10, 2)
Answer:
Option B.
Step-by-step explanation:
The given relation is
[tex]x=2y^2+6[/tex]
At y=-2,
[tex]x=2(-2)^2+6[/tex]
[tex]x=2(4)+6[/tex]
[tex]x=8+6[/tex]
[tex]x=14[/tex]
Similarly,
At y=-1,
[tex]x=2(-1)^2+6=8[/tex]
At y=0,
[tex]x=2(0)^2+6=6[/tex]
At y=1,
[tex]x=2(1)^2+6=8[/tex]
At y=2,
[tex]x=2(2)^2+6=14[/tex]
So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).
Therefore, the correct option is B.
the tens digit exceeds the units digit by 3. If the units digit is r what is the value of the number ?The next even integer that is larger than 2n, if 2n is an even integer.
Answer:
a) we know that:
the tens digit exeeds the units digit by 3, then if we have two digits
ab.
and b, the digit for units is equal to r.
then a, the digit for tens, is equal to r + 3.
Then, if r = 4, we have that the digit for tens is r + 3 = 7
and the number is 74.
b) if n is an integer, then we know that 2*n is an even number.
Now, the next even number is always 2 units away, then the next even number to 2*n is:
2*n + 2 = 2*(n + 1)
PLEASE HURRY Find the measures of the numbered angle
Answer:
90°
Step-by-step explanation:
The sum of the arcs around the circle is ...
2x +4x +4x +2x = 360°
x = 360°/12 = 30°
The numbered angle is the average of the measures of the intercepted arcs, so is ...
(4x +2x)/2 = 3x = 3(30°) = 90°
The numbered angle is 90°.
16 2/3 percent of what number is 72
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
1/2n-7
(0×3)+4
(p×5)-2
7+r
s+7
10-t
u-10
2×v
w×2
x÷5
5÷y
Step-by-step explanation:
━━━━━━━☆☆━━━━━━━
▹ Answer
14) 1/2n - 7
15) 3o + 4
16) 5p - 2
17) 7 + r
18) s + 7
19) t - 10
20) 10 - u
21) 2v
22) 2w
23) x ÷ 5
24) 5 ÷ y
Hope this helps!
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HELP ME PLEASE!!! ASAP!!!!!! What was the average speed of this journey?
Answer:
B
Step-by-step explanation:
Take total displacement and divide by the time it took.
To plot the point (5, -3) you would move up 5, then left 3.
True
False
Hey there! :)
Answer:
False.
Step-by-step explanation:
In a point, the coordinates are in the format:
(x, y).
In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:
Move right 5, down 3.
Answer:
False
Step-by-step explanation:
To plot the point (5, -3) you would move right 5, then down 3.
The diagram shows a 5 cm x 5 cm x 5 cm cube.
Calculate the length of the diagonal AB.
Give your answer correct to 1 decimal place.
Answer:
8.7 cm
Step-by-step explanation:
The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)
Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So
a^2 +b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
√50 = c
Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).
a^2 +b^2 = c^2
√50^2 + 5^2 = c^2
50 + 25 = c^2
√75 = c
c = 8.6602...
when rounded to 1 d.p.
c = 8.7
Line AB is 8.7 cm long.
Calculate the area and the perimeter of the figure
Answer:
Area: 5 cm squared
Perimeter: 12 cm
Step-by-step explanation:
The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.
4 Assuming the triangle was made of a material of uniform thickness which of the centres would also be the
centre of gravity of the triangle? Support your choice.
Step-by-step explanation:
you can split triangle in two 90-:80 triangles
In triangle ABC , m angle A=(3x)^ , m angle B=(3x+10)^ , and m angle C=(4x-30)^ Find m m angle C
Answer:
B
Step-by-step explanation:
Interior angles of a triangle = 180°
3x°+3x+10°+4x-30°=180°
10x°-20°=180°
10x°=180°+20°
10x°= 200°
10x°/10=200°/10
x°=20°
Hence, the angle is [tex]x=20[/tex] degree.
What is the angle?
An angle can be defined as the figure formed by two rays meeting at a common end point.
Here given that,
As we know that the sum of interior angles of a triangle is [tex]180[/tex] degree.
[tex]3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20[/tex]
Hence, the angle is [tex]x=20[/tex] degree.
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7) Which author's point of view is MOST SUPPORTED in the passage?
A)
The author respects and admires qualities in the
queen.
Eliminate
B)
The author is deeply saddened by the death of the
queen.
Te
The author is heavily critical of the queen's ignorant
politics
D)
The author feels the trip to Ireland contributed to 'her
worsening condition
Answer:
I think A is the MOST supported of all of the options. The author spends the majority of the writing remarking and complimenting the Queen's strength and desire to be concerned with the people of her land.
A) The author respects and admires qualities in the queen.
Step-by-step explanation:
HOPE THIS HELPED!! :)
Please solve yes please
Answer:
h(t) = h₀ + v₀·t + 1/2 g t² with
h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²
4.9 seconds
Step-by-step explanation:
16.087 (t - 2.48648)^2 - 94.5842 = 0
solving as a quadratic equation yields t ≈ 4.9 seconds
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options. The rule for the translation can be written as T–5, 3(x, y). The rule for the translation can be written as T3, –5(x, y). The rule for the translation can be written as (x, y) → (x + 3, y – 3). The rule for the translation can be written as (x, y) → (x – 3, y – 3). Triangle ABC has been translated 3 units to the right and 5 units down.
Answer:
The rule for the translation can be written as T3, –5(x, y)
Triangle ABC has been translated 3 units to the right and 5 units down.
Step-by-step explanation: I think this is correct
True statements are
The rule for the translation can be written as T3, –5(x, y).
Triangle ABC has been translated 3 units to the right and 5 units down.
Given :
The graph is attached below
Given options are
The rule for the translation can be written as T–5, 3(x, y).
The rule for the translation can be written as T3, –5(x, y).
The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
Triangle ABC has been translated 3 units to the right and 5 units down.
Explanation :
In the triangle ABC, A is at (-1,3)
In A'B'C', A' is at (2,-2)
From these points we can see that
[tex]-1+3=2\\3-5=-2[/tex]
So , 3 is added with x value and -5 is added with y value
Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.
Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]
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Solve and graph |-8x|<8 help me lol
Step-by-step explanation:
|-x|<1 --> -1<-x<1 --> -1<x<1
so the graph is the striped part
This is a math question. Solve for x - 5x = 15?
Answer:
x = -3.75
Step-by-step explanation:
First, combine like terms:
x - 5x = -4x
-4x = 15
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide -4 from both sides:
(-4x)/-4 = (15)/-4
x = 15/-4
x = -3.75
-3.75 is your answer for x.
~
Answer:
x = -15/4
Step-by-step explanation:
x - 5x = 15
Combine like terms
-4x = 15
Divide each side by -4
-4x/-4 = 15/-4
x = -15/4
Solve the system of inequalities : |x|<7 |x| ≥5
Answer:
x=5,6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Draw a dashed horizontal line at y = 7, and under this line, from the x-axis to the line y = 7, draw the v-shaped graph of the absolute value function.
Next, draw a solid horizontal line at y = 5.
Shade the area between these two lines, touching the line y = 5 but not touching the line y = 7. The result will be a trapezoid-shaped area. All points in this area are solutions to this system of inequalities.
In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist?
Answer:
y will be in every single quadrant
Step-by-step explanation:
So we have the equation [tex]y\leq \frac{2}{7} x+1[/tex] first we will have to look at the equation. It says that y is less than or equal to [tex]\frac{2}{7} x+1[/tex] since y is less than [tex]\frac{2}{7} x+1[/tex] the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way