Solve the equation. 4x2 + 20 = -7​

Answer:

B

Step-by-step explanation:

Let the two numbers be a and b.

The product of the two is 120 and their sum of their squares is 289. In other words:

[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]

And we want to find the sum of the two numbers.

We can use the perfect square trinomial. Recall that:

[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]

From the first equation, multiply by two:

[tex]2ab = 240[/tex]

Add the two equations together:

[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]

Simplify and rewrite:

[tex]a^2+2ab+b^2 = 529[/tex]

Factor using the perfect square trinomial pattern:

[tex](a+b)^2 = 529[/tex]

And take the square root of both sides:

[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]

Hence, the sum of the two numbers is 23 or -23.

In conclusion, our answer is B.

Answer:

32

35

Step-by-step explanation:

hope this helps :D

Answer:

Estimate and solve:

67+35

89−54

Add 67 and 35.

102

Subtract 54 from 89.

35

List all of the solutions.

67+35=102

89−54=35

Step-by-step explanation:

Answer:

Y=K×X...... equation

When,Y=8 and X=-5

To find the constant (K)

we substitute for K in the equation

8=K×-5

8=-5K divide both sides by -5

8÷-5=-5K÷-5

K=-1.6

Answer:

10y + 4

Step-by-step explanation:

-9 + 8y + 12 - (-2y) + 1

-9 + 8y + 12 + 2y + 1

8y + 2y - 9 + 12 + 1

10y + 4

Answer:

17

Step-by-step explanation:

Answer: 17

Step-by-step explanation:

1+7=8

The ten digit is (1) 6 less than the one digit (7)

Here is the answer

[tex]\\ \sf\longmapsto 8888+888+88+88+8+8+8+8+8+8[/tex]

Similar Question .

Write 1000 using 8

Answer:-

888+88+8+8+8

Answer:

One of the options comes from this:

It means 10000 contains 1250 of 8's:

The 8's to make 10000 are:

Answer:  1/4 first box  33/16 second box

Step-by-step explanation:

look at pictures for AnSwEr

not enough information

Answer:

[tex] - \frac{2187}{3125} [/tex]

Step-by-step explanation:

[tex]9 \times ( \frac{ - 3}{5} )^{5} [/tex]

[tex]( \frac{ - 3}{5} {)}^{5} = \frac{( - 3 {)}^{5} }{ {5}^{5} } [/tex]

[tex] \frac{ - 243}{ {5}^{5} } = - \frac{ 243}{3125} [/tex]

[tex] - 9 \times ( - \frac{243}{3125} )[/tex]

[tex] = - \frac{2187}{3125} [/tex]

Here's the Solution:

Direct Variation

Y = kx

Given:

$34=k(4)

k = 34/4

k = 17/2

Y = kx

Y = (17/2) (10)

Hope this helps :)

Hi :)

Radius is half the diameter

4.6 mm (2) = 9.2 mm

The diameter of the circle is 9.2 mm.

Answers:

12. 2 3/5+1 4/6 = (2+1)+(3/5+4/6) = 3+19/15 = 64/15

13. 2/4*4/6 = 8/24 = 1/3

14. 3/4*3/6 = 9/24 = 3/8

15. 2/6*4/6 = 8/36 = 2/9

16. 2/4*1/6 = 2/24 = 1/12

17. 3/4/1/6 = 18/4 = 9/2

18. 3/4/2/4 = 12/8 = 3/2

19. 3/6/4/6 = 18/24 = 3/4

20. 5/7+2/7 = 7/7 = 1

21. 4/5+5/7 = 53/35

22. 3/5+5/5 = 8/5

23. 1/6-1/6 = 0

24. 3/7-2/3 = -5/21

25. 3/5-2/7 = 11/35

Answer:

x=20°

m=50°

n=68°

p=50°

Step-by-step explanation:

Here,we know that,

i)n=68°[being vertically opposite angle]

ii)p+62°+n=180°[being straight angle]

or, p+62°+68°=180°

or, p+130°=180°

or, p=180°-130°

thus, p=50°

iii) m=p[being vertically opposite angle]

thus, m=50°

iv)(2+3x)°=62°[being vertically opposite angle]

or, 3x°=62°-2°

or, 3x°=60°

or, x=60°÷3°

thus, x=20°

Hence, the value of x=20°, m=50°, n=68° and p=50°.

Answer:

Step-by-step explanation:

The  converse of ~q  =>  ~p  is  ~p  =>  ~q.

Answer:

275 student tickets and 346 adult tickets

Step-by-step explanation:

621-71=550

550÷2=275+71346

Answer:

7

Step-by-step explanation:

no need to panic !

it is actually totally easy.

we have the complete, big angle at U (imagine you turn VU around U into UT) = 178 degrees.

VT is almost a straight line (then that angle would be 180 degrees). but only almost ...

anyway, the other 2 angles are just parts of the big angle, and we see that together they sum up to the big angle, as there is no other space for a part of the big angle left.

so

(14x - 11) + (12x + 7) = 178

14x - 11 + 12x + 7 = 178

26x - 4 = 178

26x = 182

x = 7

Answer:

[tex]r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \times 2 \times 5 + 2\pi {2}^{2} \\ = 20\pi + 8\pi \\ = 28\pi \\ = 28 \times 3.14 \\ = 87.92 {unit}^{2} \\ thank \: you[/tex]

Answer:

Step-by-step explanation:

Answer:

b and c

Step-by-step explanation:

b is obvious since you can just plug In a point to solve

but c is a bit trickier a rigid motion is a transformation that doesn't change size or shape and we are just moving points which have same size so c is true.

Answer:

A. 3x+14≥ 2 or 1-x ≥-5

Step-by-step explanation:

the solutions should be x≥ -4 or x ≤6

and the right answer is :

3x + 14≥ 2

3x ≥ -12

x≥ -4

1-x ≥ -5

-x ≥ -6

x ≤ 6

A. 3x+14≥ 2 or 1-x ≥-5

Answer:

78.5 in^2

or

506.7 cm^2

Step-by-step explanation:

r = 5 in = 12.7 cm

Area of circle

[tex] = \pi \times {r}^{2} [/tex]

9514 1404 393

Answer:

Step-by-step explanation:

1. The ratio is ...

  (6 in)/(8 in) = 6/8 = 3/4

__

2. The scaled dimensions are ...

  6 in × 3 = 18 in (vertical side)

  8 in × 3 = 24 in (horizontal side)

__

3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.

Answer:

x=2.932576,−2.932576

Answer:

u=2 root 2

Step-by-step explanation:

All 45 45 90 degree triangles follow the same pattern

Answer:

The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.

Answer:

The union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.

Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.

answer

Step-by-step explanation:

[tex] \frac{3}{4} + \frac{1}{2} [/tex]

[tex] \frac{3 \times 1 + 1 \times 2}{4} [/tex]

[tex] \frac{3 + 2}{4} [/tex]

[tex] \frac{5}{4} [/tex]

[tex]1.25[/tex]

Answer:

3x + 9

Step-by-step explanation:

(2x + 5) + (x + 4)

Distribute the + to all numbers/variables

2x + 5 + x + 4

Combine like terms:

2x + 5 + x + 4

3x + 5 + 4

3x + 9

Hope this helped.

Answer:

m<ABD = 37°

m<DBC = 58°

Step-by-step explanation:

m<ABD + m<DBC = m<ABC

2x + 23 + 9x — 5 = 95

11x + 18 = 95

     -18     -18

--------------------

11x = 77

/11      /11

---------------------

x = 7

Now, plug this into the equation for m<ABD and m<DBC to find their values.

m<ABD = 2x + 23

= 2(7) + 23

= 14 + 23

= 37

m<DBC = 9x — 5

= 9(7) — 5

= 63 – 5

= 58

Now, check to see if our values are right or not.

2x + 23 + 9x — 5 = 95

2(7) + 23 + 9(7) — 5 = 95

14 + 23 + 63 – 5 = 95

100 – 5 = 95

95 = 95 CORRECT

Answer:

x = -1 or/and -5/2

Step-by-step explanation:

:)