Through any two points there is exactly one______​

Answer:

A parabola can be represented by the equation x2 = -20y. ... (0,-2). The directrix of the parabola is represented by y = 2. ... A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. ... The directrix will cross through the positive part of the y-axis. ... Which graph represents the equation y2 = -4x? A ...

Step-by-step explanation:

yeiii

Answer:

16

Step-by-step explanation:

20^2-12^2=256

400-144=256

sqrt 256 = 16

Slope is change in y over change in x:

Slope = (5c - 3c) / ( 2c -c)

Slope = 2c/c = 2

The answer is D. 2

2. He did not plug the correct values into the numerical equation.

The answer should be B.

Answer:

b. 7 cm Yan pu Alam KO Sana tama

Step-by-step explanation:

Tama ba

Answer:

4t-20

Step-by-step explanation:

Answer:

4t-20

or

unknown

Step-by-step explanation:

if there is a value for t then i,d,k the answer if there isnt then 4t-20 is the answer

Step-by-step explanation:

given x = 6, y = 9,

[tex]17x + 5.5y = 17(6) + 5.5(9) \\ = 102 + 49.5 \\ = 151.5[/tex]

Answer:

151.5

Step-by-step explanation:

= 17(6) + 5.5(9)

= 102 + 49.5

= 151.5

Hope you got it..

Answer:

Exact Form - 13/2

Decimal Form - 6.5

Mixed Number Form - 6 1/2

Hope this helps

Answer:

B. 191 cm2

Step-by-step explanation:

have a nice day!!! :)

The area of the Circle is 191.03 cm².

Option B is correct.

Geometric shape of a circle with a closed plane. A circle is a locus of a point that moves around a fixed point at a fixed distance away from the point.

The space occupied by a circle in a two-dimensional plane is defined as its area. Conversely, the area of a circle is the space occupied within the boundary/circumference of a circle.

The area of a circle is calculated as A = πr², where r is the radius of the circle.

Given:

r = radius = 7.8cm

π = 3.14

So, area of Circle

= πr²

Now, substitute the values we get

= 3.14 x 7.8 x 7.8

= 3.14 x 60.84

= 191.03 cm²

Thus, the Area of Circle is 191.03 cm².

Learn more about Area of Circle here:

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Option (C) is the correct option.

"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".

For the given situation,

From the definition, a quadrilateral with sides of different lengths has no parallel sides.

Hence, option (C) is the correct option.

Learn more about quadrilaterals here

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Given:

The insect population function is:

[tex]f(x)=10(2)^x[/tex]

Where x is the number of weeks.

To find:

The population after 4 weeks.

Solution:

The population of insect after x weeks is given by:

[tex]f(x)=10(2)^x[/tex]

We need to find the population after 4 weeks.

After substituting [tex]x=4[/tex], we get

[tex]f(4)=10(2)^4[/tex]

[tex]f(4)=10(16)[/tex]

[tex]f(4)=160[/tex]

The population after 4 weeks is 160. Therefore, the correct option is C.

Answer:

x= 2,-3

Step-by-step explanation:

Is this what you want?

Answer:

= -15.4

Step-by-step explanation:

-10.6-4.8

= -(10.6+4.8)

= -15.4

you basically just add the negatives.

i hope this helps :)

Answer:

-15.4

Step-by-step explanation:

Subtract the numbers -10.6 - 4.8 to get -15.4

If you have any questions revolving around this topic,feel free to ask me and i will be happy to help,Good luck!

Answer: 1517.54

Step-by-step explanation:

So we can divide solving this question into two parts: the 2% compound interest and the 5% compound interest.

We know that the compound interest equations is A = P(1+r/n)^nt where:

A is final amount

P is principal (initial) amount

r is interest rate

n is number times interest compounded

t is number of time periods

Given this, in the 2% compound we know:

A = ?

P = 1200

r = 2%

n = 1 (because it didn't say how many times compounded so we assume 1)

t = 2

This becomes:

A = 1200 (1 + (0.02/1))^ 1 * 2

A = 1248.48

Because we switching to 5% from 2%, we can assume that the final amount from the 2% will be the initial amount in the 5%. Thus:

A = ?

P = 1248.48

r = 5%

n = 1

t = 4 (because there were 6 years in total and we used 2 years for 2%)

This becomes:

A = 1248.48 (1 + (0.05/1))^ 1 * 4

A = 1517.54

Given:

A circle is centered on point B.

Points A, C and D lie on its circumference.

If [tex]m\angle ABC[/tex] measures 40°.

To find:

The [tex]m\angle ADC[/tex].

Solution:

Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.

In the given figure [tex]\angle ABC[/tex] is the central angle and [tex]m\angle ADC[/tex] is the inscribed angle on the same arc AC.

Using central angle theorem, we get

[tex]m\angle ABC=2m\angle ADC[/tex]

[tex]40^\circ=2m\angle ADC[/tex]

[tex]\dfrac{40^\circ}{2}=m\angle ADC[/tex]

[tex]20^\circ=m\angle ADC[/tex]

Therefore, the measure of angle ADC is 20°.

Answer:

∠ ADB = 59°

Step-by-step explanation:

The vertices of a rectangle are right angles, then

∠ ADB + 31° = 90° ( subtract 31° from both sides )

∠ ADB = 59°

Answer:

Step-by-step explanation:

?

Answer:

try using photomath, it might help you with the graph

Answer:

the one on the bottom

Step-by-step explanation:

Answer:

[tex]\sqrt{122}[/tex]

Step-by-step explanation:

Given that,

Vector n = 4i-j

Vector m = 3i+3j

We need to find the value of m+2n.

Put all the values,

m+2n = (3i+3j)+2(4i-j)

= (3i+3j)+8i-2j

=11i+j

Magnitude of vector,

[tex]|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}[/tex]

So the correct option is (c).

Answer:

The description of the 6 parts of the right triangle ABC are as follows;

The legs of the right triangle are side "a" and side "b"

The hypotenuse side of the right triangle is side "c"

The acute angles are ∠A and ∠B

The 90° angle is ∠C

The description of the 6 parts are therefore given as follows;

1) A; ∠A is the acute angle opposite side "a" and ∠A is formed between the hypotenuse side "c" and the leg "b"

2) B; ∠B is the acute angle opposite side "b" and ∠B is formed between the hypotenuse side "c" and the leg "a"

3) C; ∠C is the 90° angle (right angle) opposite the hypotenuse side "c" and ∠C is formed between the the two legs "a" and "b"

4) a; Side "a" is one of the two legs of the right triangle ΔABC and it is the leg opposite to ∠A

5) b; Side "b" is one of the two legs of the right triangle ΔABC and it is the leg opposite to ∠B

6) c; Side "c" is the hypotenuse side of the right triangle ΔABC and it (the hypotenuse side) is (all the time) the longest side of the right triangle and it is the leg opposite to ∠A

Step-by-step explanation:

Answer:

x=75

Step-by-step explanation:

Sum of the interior angles of a trapezoid = 360°

That being said we can calculate the measure of the missing angle (x) by subtracting the given angles (131, 107 and 47) from 360

so x = 360 - 131 - 107 - 47

360 - 131 = 229

229 - 107 = 122

122 - 47 = 75

so x = 75

Answer:

y = -3x + 18

Step-by-step explanation:

The slope intercept form of a line is expressed as y = mx+c

m is the slope

b is the intercept

Get the slope

Given the equation of a line 9x + 3y = 6

Rewrite

3y = -9x + 6

y = -9x/3 + 6/3

y = -3x + 2

Hence the slope of the line is -3

Get the y-intercept

Substitute m = -3 and (5,3) into y  = mx+b

3 = -3(5) + b

3 = -15 + b

3 + 15 = b

18 = b

b = 18

Get the required equation

y = mx+b

y = -3x + 18

This gives the required equation

Answer:

Step-by-step explanation:

a) y=[tex]x^{2} -4x[/tex]

x=-1 ⇒ y=[tex](-1)^{2} +4=1+4=5[/tex]

x=1    ⇒  y=[tex]1^{2} -4=1-4=-3[/tex]

x=2 ⇒   y=[tex]2^{2} +8=4-8=-4[/tex]

x=4   ⇒  y=[tex]4^{2} -16=16-16=0[/tex]

b) [tex]x^{2} -4x[/tex]=[tex]x^{2} -4x+4-4=(x-2)^{2}-4[/tex]

so the blue one

Answer:

The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D

D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites

Step-by-step explanation:

From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines

Let 'A' represent one of the airlines and let 'B' represent the other airline

In the statistics hypothesis test we have;

The mean time to access airline A's website, [tex]\overline x_1[/tex] = 2.5 minutes

The standard deviation to access airline A's website, s₁ = 0.8 minutes

The mean time to access airline B's website, [tex]\overline x_2[/tex] = 2.1 minutes

The standard deviation to access airline B's website, s₂ = 1.1 minutes

The t-test is given as follows;

The null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;

[tex]t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32[/tex]

Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.

Answer:

66% of the formerly unknown number comes out to 24.

Step-by-step explanation:

0.11n = 4, so n (the number in question) is equal to 4/0.11, or 36.36.... (a repeating decimal).  66% of this n would be 0.66(4/0.11), or 24.

66% of the formerly unknown number comes out to 24.

Answer:

I am going to assume that D's expression is actually $2.99+$3.19+$2.59+(-$0.25)+(-$0.40)

= $6.18+$2.59-$0.25-$0.40 [Note: (+)*(-)=(-)]

=$8.77-$0.25-$0.40

=$8.52-$0.40

=$8.12

Step-by-step explanation:

The prices of the loaf bread, a jar of peanut butter and 3 pounds of apples will be added. The value of the coupons will be then reduced from the total to get the final total.

Answer:

B) 3:24

D) 5:40

E) 7:56

Step-by-step explanation:

3x8= 24

3:24= 1:8

5x8= 40

5:40= 1:8

7x8= 56

7:56= 1:8