The solution of the given quadratic equation is x = (- 7 ± √(65)) / (2)
What is a quadratic equation?The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given is a quadratic equation,
For this case, the first thing we must do is rewrite the polynomial:
x² + 7x - 4 = 0
We use the resolver to solve the problem using quadratic formula;
x = (- b ± √(b² - 4 × a × c)) / (2 × a)
Where,
a = 1
b = 7
c = -4
Substituting the values:
x = (- 7 ± √((7)² - 4 × (1) × (- 4))) / (2 × (1))
x = (- 7 ± √(49 + 16)) / (2×(1))
x = (- 7 ± √(65)) / (2)
Hence, The value of x is (- 7 ± √(65)) / (2)
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Which of the statements about the y-axis are true? I.The y-axis is a vertical number line that passes through the origin.II.The y-axis intersects the x-axis at the point (0 , 0).III.The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.IV.The y-axis is a horizontal number line that passes through the origin.
Answer:
No i does not well it will be 0,5 or any other number but the x wont change
Step-by-step explanation:
Factor the expression: -30x - 15
Answer:
Factored expression: -15 (2x + 1)
Form and solve an equation for .
2x
x+30
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the angles in the triangle and equate to 180
2x + x + 30 + 90 = 180
3x + 120 = 180 ( subtract 120 from both sides )
3x = 60 ( divide both sides by 3 )
x = 20
the composite figure is made up of three simpler shapes? what is the area of the figure
Answer:
B. 68 square cm
Step-by-step explanation:
0.5 x 6 x 5 = 15
5 x 7 = 35
9 x 2 = 18
15+35+18 =68
What is the percent of change from 800,000 to 600,000?
Mary has $15.63 left in her wallet after spending $8.01 on snacks. How much did she have in her wallet before she bought the snacks? (Do not put the $ sign in your answer. Just type the amount without the $ sign.
Solve 24=3r4. The solution is r=
what is the answer for this?
i tried 2 and it says wrong
Answer:
r=1.681793,−1.681793
Step-by-step explanation:
Help! With this math problem
Answer:
Its C
Step-by-step explanation:
Question 1 of 20 Multiply. (4x - 5)^2
A. 16x2 - 25
B. 16x2 - 40x + 25
C. 16x2 + 20x + 25
D. 16x2 + 40x+ 25
Answer:
B) 16x² - 40x + 25
Step-by-step explanation:
1) Use square differences: (a - b)² = a² - 2ab + b².
[tex](4x)^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]
2)Use Multiplication Distributive Property: (xy)^a = x^a y^a.
[tex] {4}^{2} {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]
3) Simplify 4² to 16.
[tex]16 {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]
4) Simplify 5² to 25.
[tex]16 {x}^{2} - 2 \times 4x \times 5 + 25[/tex]
5) Simplify 2 × 4x × 5 to 40x.
[tex] {16x}^{2} - 40x + 25[/tex]
Thus, the Anwer is Option B) 16x² - 40x + 25 .
Madjeen jogs around the pond by her house twice a day. In the morning, she jogs $3.5$ laps around the pond. In the evening, she jogs $1$ lap around the pond. Madjeen jogs a total of $5.4$ miles. Write and solve an equation to find out how many miles are in each lap around the pond.
Answer:
1.2 miles
Step-by-step explanation:
Morning laps = 3.5 laps
Evening laps = 1 lap
Total miles jogged = 5.4 miles
Total laps made = (3. 5 + 1) = 4.5 miles
Number of miles per laps covered :
Total miles jogged / number f lapses hugged around pond.
= 5.4 miles / 4.5
= 1.2 miles
Therefore, number of miles per round around the pond is 1.2 miles
A cube is made up of squares with sides 3 cm long. What is the surface area of the cube?
9514 1404 393
Answer:
54 cm²
Step-by-step explanation:
Each of the 6 faces of the cube has an area that is ...
A = s² = (3 cm)² = 9 cm²
Then the area of the cube is ...
6 × 9 cm² = 54 cm²
Answer:
Answer:
54 cm²
Step-by-step explanation:
Each of the 6 faces of the cube has has an area that is ...
A= s²=(3cm)²=9cm²Then the area of the cube is ...
6×9cm²= 54cm²Please help I would appreciate it
Answer:
Lower and upper quartiles(B)
Step-by-step explanation:
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD =4, BD =6, what is the length of DC
Answer:
[tex]AC=5[/tex]
Step-by-step explanation:
From the question we are told that:
Dimensions
[tex]AD=4\\BD=6[/tex]
Generally the equation for these similar right triangle is mathematically given by
[tex]\frac{AC}{AB}=\frac{AB}{AD}=\frac{BC}{BD}[/tex]
[tex]\frac{AC}{AB}=\frac{AB}{AD}[/tex]
Where
[tex]AD=x[/tex]
[tex]AC=x+4[/tex]
Therefore
[tex]AB^2=x(x+4)[/tex]
Generally the Pythagoras equation for [tex]\triangle[/tex]ADB is mathematically given by
[tex]AB^2=BD^2+AD^2[/tex]
[tex]x(x+4)=4+x^2[/tex]
[tex]x(x+4)-(4+x^2)=0[/tex]
[tex]x^2+4x)-(4+x^2)=0[/tex]
[tex]4x-4=0[/tex]
[tex]x=1[/tex]
Therefore
[tex]AC=x+4[/tex]
[tex]AC=1+4[/tex]
[tex]AC=5[/tex]
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?
Find the p and q that produce the Pythagorean triple (3, 4, and 5). Please help me, please and thank you! =)
Answer:
Step-by-step explanation:
Simplify the expression below.
4x+ 3(2x−1) − 4x
Answer:
=6x−3
Step-by-step explanation:
Let's simplify step-by-step
4x+3(2x−1)−4x
Distribute:
=4x+(3)(2x)+(3)(−1)+−4x
=4x+6x+−3+−4x
Combine Like Terms:
=4x+6x+−3+−4x
=(4x+6x+−4x)+(−3)
=6x+−3
Answer:
6x - 3
Step-by-step explanation:
4x + 3(2x - 1) - 4x
Distribute, multiply every term inside the parenthesis by the term outside of it,
4x + (3)(2x) + (3)(-1) - 4x
Simplify,
4x + 6x - 3 - 4x
Simplify further, combine like terms,
6x - 3
Please answer the problem above
Answer:
area of rectangle : 180 sq ft
area of triangle : 30 sq ft
area of entire composite figure : 210 sq. ft
Step-by-step explanation:
rectangle : 15*12= 180
triangle : 15*4=60 /2 = 30
entire : 180 + 30 = 210
Write the system of equations as a matrix equation AX=B, with A as the coefficient matrix of the system.
Please help!
Answer:
[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Step-by-step explanation:
The system of equation in matrix form is defined by following vector formula:
[tex]\vec A \cdot \vec x = \vec b[/tex] (1)
Where:
[tex]\vec A[/tex] - Matrix of coefficients.
[tex]\vec x[/tex] - Column vector of variables.
[tex]\vec b[/tex] - Column vector of results.
If we know that [tex]x + 2\cdot y = 0[/tex] and [tex]6\cdot x + 7\cdot y = -10[/tex], then the system of equations in matrix form is:
[tex]\vec A = \left[\begin{array}{ccc}1&2\\6&7\end{array}\right][/tex], [tex]\vec x = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex], [tex]\vec b = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Then,
[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Meeta buys a ticket for the movie and a popcorn, which costs $6. She spends $16.50 in all. How much was the movie ticket?
Answer:
10.50
Step-by-step explanation:
16.50-6
A rope 24m long is divided into three pieces in a ratio 1:2:5. The length of the shortest piece in
metre is
Answer:
3 m
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 5 = 8 parts
Divide the length by 8 to find the value of one part of the rope
24 m ÷ 8 = 3 m ← value of 1 part of the ratio
Thus the shortest piece is 3 m
The required length of the shortest piece is 3 meters.
Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
let the required proportion is equal to x,
then,
x + 2x + 5x = 24
8x = 24
x = 3
Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter
Thus, the required length of the shortest piece is 3 meters.
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HELP HELP ASAP ASAP WILL MARK BRAINLIEST
ANSWER BOTH PLEASE EASY POINTS
Answer:
1.) Hypotenuse.
The hypotenuse is the longer side.
2.)Leg
Answer:
1.) Hypotenuse
2.) Leg
Step-by-step explanation:
The legs or bases of a triangle are the sides connected to the right angle.
The hypotenuse is the side across from the right angle and is always the longest side.
Can someone help me please
Answer:
It's 28
Step-by-step explanation
In QRS the measure of S=90, the measure of Q=29 and SQ=5 feet. find the length of QR to the nearest tenth.r
Answer:
QR ≈ 5.7 ft
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QS}{QR}[/tex] = [tex]\frac{5}{QR}[/tex] ( multiply both sides by QR
QR × cos29° = 5 ( divide both sides by cos29° )
QR = [tex]\frac{5}{cos29}[/tex] ≈ 5.7 ( to the nearest tenth )
complete the tables of values
Answer:
a=0
b=-8
c=-16
d=0
e=-3
f=-6
Step-by-step explanation:
What is (-3, -2) reflected over the y-axis
Answer:
3,-2
Step-by-step explanation:
Answer:
(3, -2)
Step-by-step explanation:
[Cartesian plane]
______________
+y
↑
-x ← — | — → +x
(-3,-2) |
↓
-y
______________
[Flipping over the y axis]
-The reflection will be the-
same distance from the y axis
+y
↑
-x ← — | — → +x
(-3,-2) → | → (3, -2)
↓
-y
up
Write an equation for the translation of x2 + y2 = 49 by 3 units left and 4 units
O(x + 3)2 + (y + 4)2 = 49
O(x + 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y + 4)2 = 49
Answer: (x+3)^2+(y-4)^2=49
The answer is b :)
Step-by-step explanation:
pls help....which of them is it and no link or I will report
Answer this plz I’m stuck on it
Answer:
The value of the car decreased by 16 percent.
Step-by-step explanation:
First I divided 15,540 by 18,500, and I got .84. Then, I subtracted .84 from 1, and got .16. Then I turned .16 into a percent, and got 16%.
Find equations of two lines that cross at the point (2,7) & explain how you got the answer
What's 8x3 please help me.
Answer:
24
Step-by-step explanation:
Answer: Equals 24! Have a great day!