4(x + 7)^2 – 49 = -13 solve the following quadratic equation for all values of x in the simplest form

Answers

Answer 1

Answer:

4(x²+14x+49)-49+13=0

4x²+56x+196-49+13=0

4x²+56x+160=0

D=3136-2560=576

x1=-56+24/8=-4

x2=-56-24/16=-10


Related Questions

The ratio of the areas of two similar parallelogram is 4:9. Find the height of the bigger one if the smaller is if height 4cm

Answers

Answer:

look it up because found the correct answer there

Step-by-step explanation:

Urgent!!!!
Can someone please give me the correct answer to this question
The answers are in the picture.
I will mark you brainliest for the correct answer.
Please help!!

Answers

Answer:

2x=80°

x=40°

40°+20°=60°

Step-by-step explanation:

all triangles are 180°

The ratio of teacher to student in a school
is 1:18. There are 540 students. How
many teachers are there in the school?

Please answer me fast

Answers

Answer:

30

Step-by-step explanation:

teacher x

student 18x

18x=540

x=30

Solve the simultaneous equations

y – x = 3
y = 7x

Answers

Answer:

x=1/2, y=3 1/2

Step-by-step explanation:

substitute y=7x into y-x=3

7x - x = 3

6x = 3

x=1/2

y=7(1/2)

y=3 1/2

SECTION A:
QUESTION 1
MULTIPLE CHOICE (10 MARKS)
1.1 The way we see, think and feel about ourselves it includes all knowledge we have
about ourselves.
Self esteem
Self-awareness
Self-confidence

Answers

Answer:

Self esteem hope this helps

10.
Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree.

Answers

36 using the angles replaceable to multiple bc it’s needed

I NEED HELP WITH THIS

Answers

72 degrees
........................

Answer:

∠HGJ + ∠KJG = 180°

So, ∠KJG = 62°

A triangle has side lengths of 39, 80, and
87. Is this triangle a right triangle?

Answers

Answer:

Step-by-step explanation:

39²=1521

80²=6400

39²+80²=1521+6400=7921

87²=7569

7921≠7569

so it is not aright angled triangle.

Answer:

si

Step-by-ste

If you go to New Buffalo ice cream shop "Oinks" they have 48 ice cream flavors to choose from. Your parents say you can choose one ice cream flavor and pick one of the 12 toppings, how many different ice cream sundaes could you create?


576

517

69,668,534,468

60

Answers

Answer:

576

Step-by-step explanation:

just multiply 48 by 12

Answer:

576

Step-by-step explanation:

48 ice cream flavors

12 toppings

48 x 12 = 576

PLEASE HELP ME Which of the following statements is not supported by the Venn diagram below?

There are 55 students taking biology and geometry.
There are 39 students who are not taking both geometry and biology.
There are more students in biology than students in geometry.
There are more students in geometry than students taking only biology.

Answers

Answer:

the answer is

Step-by-step explanation:

There are more students in biology than students in geometry.

The following statements does not support the given venn diagram:

There are 55 students taking geometry and biology.

There are more students in biology than students in geometry.

What are Venn diagrams?

The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.

In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.

Solution:

If we consider the first statement i.e, there are 55 students taking biology and geometry then through the venn diagram we get:

                                   17₊ 22 ₊8 = 47

The result of the addition operation is not equal to the number of        students, hence it does not support to the statement.

If we consider the second statement i.e, there are 39 students who are not taking both biology and geometry then through the venn diagram we get:

                                    17 ₊ 22 = 39

The result of the addition operation is equal to the number of        students, hence it supports the statement.

If we consider the third statement i.e, there are more students in biology than students in geometry then through the venn diagram we get:

                                     17 ₊ 8 = 25 and 8 ₊ 22 = 30

                                            where, 25 < 30

Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.

If we consider the fourth statement i.e, there are more students in geometry than students taking in biology, then through the venn diagram we get:

                                     22 ₊ 8 = 30

                                       30 > 17

Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.

So the following statements does not support the venn diagram given:

There are 55 students taking geometry and biology.

There are more students in biology than students in geometry.

Learn more about "Venn diagrams" here-

brainly.com/question/2099071

#SPJ2

carlos walked to school on 14 of the 20 school days in february.Witch value is equivalent to the fraction of the school days in february that carlos walked to school?

Answers

Answer:

14/20 or simplified 7/10 it can also be shown as 70% or 0.7 or 0.70

Step-by-step explanation:

Tell me which lines to which plz

Answers

Answer:

cereal bowl- 2 cups

baby food jar- 4 fluid ounces

soda can- 12 fluid ounces

swimming pool- 1000 gallons

large can of paint- 1 gallon

WILL GIBE BRAINLEST

Which figures are polygons?
Select each correct answer.
Figure A
Figure B
Figure C
Figure D​

Answers

A, C, and D... a polygon simply has all rigid corners and flat edges
The answer is A,B, and D.

Notice how A, B, and D have more than 3 straight edges. This qualifies the shape to be a polygon. The minimum sides a shape can have to be qualified as a polygon is 3 sides.
Answer choice C cannot be a polygon because it doesn’t meet the polygon minimum. Also answer choice C has a curved line which is not allowed within polygons.

verify X + y equal to y + X when:x=-8/9and y=-3/5​

Answers

Given:

[tex]x=-\dfrac{8}{9},\ y=-\dfrac{3}{5}[/tex]

To verify:

[tex]x+y=y+x[/tex]

Solution:

We need to verify,

[tex]x+y=y+x[/tex]

Taking left hand side, we get

[tex]LHS=x+y[/tex]

After substituting the values, we get

[tex]LHS=-\dfrac{8}{9}+\left(-\dfrac{3}{5}\right)[/tex]

[tex]LHS=-\dfrac{8}{9}-\dfrac{3}{5}[/tex]

[tex]LHS=\dfrac{-40-27}{45}[/tex]

[tex]LHS=\dfrac{-67}{45}[/tex]

Now,

Taking right hand side, we get

[tex]RHS=y+x[/tex]

After substituting the values, we get

[tex]RHS=-\dfrac{3}{5}+\left(-\dfrac{8}{9}\right)[/tex]

[tex]RHS=-\dfrac{3}{5}-\dfrac{8}{9}[/tex]

[tex]RHS=\dfrac{-27-40}{45}[/tex]

[tex]RHS=\dfrac{-67}{45}[/tex]

Clearly,

[tex]LHS=RHS[/tex]

Hence verified.

A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including tax?

Answers

Answer:

$160.14

Step-by-step explanation:

15% of 174.45 = 26.16

174.45 - 26.16 = 148.28

8% of 148.28 = 11.86

148.28 + 11.86 = 160.14

Explain how to find the slope of the line.

Answers

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 3}{6 - 2} \\ = \frac{ - 2}{4} \\ = - \frac{1}{2} [/tex]

Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.

#CMIIW

help me pzz please please ​

Answers

Answer:

Step-by-step explanation:

i dont get it

Answer:

just multiply al the sids like you would with a square

Can anybody help me with this problem?

Answers

Answer:

$830

Step-by-step explanation:

x/2=200+215

x/2=415    multiply by two on both sides to get x alone

x=830

1. Name the ray in the figure

Answers

Answer:

The correct answer is option c.

Step-by-step explanation:

Have a nice Day!

and can I maybe have brainliest? Thanks!

Will give brainist help!!!

Answers

Answer:

A

Step-by-step explanation:

What’s the area of the polygon?

Answers

Answer:

[tex]108 in^{2}[/tex]

Step-by-step explanation:

Separate it into 2 parts:

The first would be that the length and width of the smaller rectangle would be, 7 in. and 6 in.

7 x 6 = 42 in^2

The second would be that the length and width of the larger rectangle would be, 11 in. and 6 in.

11 x 6 = 66 in^2

Total:

66 + 42 = 108 in^2

Answer:

108 [tex]in ^2[/tex]

Step-by-step explanation:

This polygon consists of two rectangles, one in the top-right hand corner and another in the bottom. To divide these two rectangles, imagine a line extended from the central horizontal line in the polygon. As I work the problem, remember that the formula for the area of a rectangle is [tex]A=l * h[/tex], where A is the area of the rectangle, l the length of the rectangle (one of the sides), and h is the height of the rectangle (the length of a side perpendicular to l).

Starting with the top-right rectangle:

We already know one of the sides of the rectangle is 4 in, so let's imagine this to be h, because it is the height of the rectangle. Finding l is more complicated. We know the length of the larger rectangle is 12 in (more on that later) and the 6 in length is the part of the length that is not a part of the top-right rectangle. This, since the vertical line all the way to the right is straight, the length is the difference between these two lengths, or:

[tex]l=12-6=6[/tex] in

Now that we know l and h, we can evaluate the area of the first rectangle, which is

[tex]A= 6 *4= 24[/tex] in^2

Now for the bottom rectangle:

We know both l and h for this rectangle, which are 12 in and 7 in respectively. Using the area formula for a rectangle above:

[tex]A=12*7=84[/tex] in^2

Since the polygon contains both rectangles, its area is the sum of the areas of the two rectangles. Thus,

[tex]A=24+84=108[/tex] in^2

QED

The solid shown below is made by combining two rectangular prisms. What is the total volume of the solid?

Answers

Answer:

The question has a picture attached of both rectangular prisms which I have attached and solved.

Answer:   1320 cm³

Step-by-step explanation:  

top prism = 5×12×10=600  

lower prism = 15×12×(15-10) = 720

Adding both volumes

720 + 600 = 1320 cm³

What is the range for the graph shown? A) -3 ≤ y ≤ 2 B) -3 and 2 C) -3 ≤ y ≤ 3 D) -2 ≤ y ≤ 3

Answers

B) -3 and 2

Explanation
Brainly Please

How can you determine the part of an hour that is 15 minutes?

Answers

Answer:

You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.

Step-by-step explanation:

What is the value of the expression x^3y^2/6 + x^2y^2 x = -2 and y = 3?
A -45
B -30
С 24
D 27

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{(-2)^3=\bf -8}[/tex]

[tex]\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{3^2=\bf 9}[/tex]

[tex]\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{-8(9)= \bf -72}[/tex]

[tex]\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}[/tex]

[tex]\mathsf{\dfrac{-72}{6}=\bf -12}[/tex]

[tex]\mathsf{= -12+(-2)^2(3^2)}[/tex]

[tex]\mathsf{-2^2=\bf 4}[/tex]

[tex]\mathsf{= -12+4(3^2)}[/tex]

[tex]\mathsf{3^2=\bf 9}[/tex]

[tex]\mathsf{= -12+4(9)}[/tex]

[tex]\mathsf{4(9)= \bf 36}[/tex]

[tex]\mathsf{-12 + 36 = \bf 24}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLEASE HELP FAST!!!!!!!!!

Answers

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

Each day Theo versus dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week

Answers

Answer: 280 minutes

Step-by-step explanation:

Given

Expression is  [tex]7\times (15+25)[/tex]

Apply distributive law i.e.

[tex]a(b+c)=a\cdot b+a\cdot c[/tex]

[tex]\Rightarrow 7(15+25)=7\cdot 15+7\cdot 25\\\Rightarrow 7(15+25)=105+175=280[/tex]

Thus, theo dog took 280 minutes each week

SOMEONE PLEASE HELP MEEE!!!

Answers

Answer: 1080

Step-by-step explanation:

Heres why:

SA is L*W*H as the same formula as volume.

find the length of the missing side in the following examples

Answers

Answer: 1. 6.1

2. 13

3. 5.4

4. 5.7

5. 10.4

6. 31

Step-by-step explanation:

I got the values of the missing sides by doing the Pythagorean theoreom. Therefore, I had to find the length of the hypotenuse. a^2+b^2=c^2

a and b are the values of the sides given, and we have to find the value of c. So, for instance on number one 6 and 3 are a b. (6)^2+(3)^2= 45. Now we have to find the square root of 45. The square root of 45 is 6.7082039325.

So the value of the missing side in number one is 6.7.

4.
2
Round off 14.9028 to the nearest
hundredths​

Answers

Answer:

14.9000 is the answer

Step-by-step explanation:

round it

Answer:

can you be more clear

Step-by-step explanation:

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