10 points! What is answer

Answer:

(x + 7)(x - 3)

Step-by-step explanation:

To factor the quadratic

Consider the factors of the constant term (- 21) which sum to give the coefficient of the x- term (+ 4 )

The factors are + 7 and - 3 since

+ 7 × - 3 = - 21 and + 7 - 3 = + 4, hence

x² + 4x - 21 = (x + 7)(x - 3)

The quadratic equation x^2 + 4x - 21 is factored into (x - 3)(x + 7) where these two factors multiply to -21 and add up to 4.

To completely factor the equation x^2 + 4x - 21, we look for two numbers that multiply to -21 (the c term) and add up to 4 (the b term). The numbers that satisfy these conditions are 7 and -3.

Therefore, the factored form of the equation x^2 + 4x - 21 is: (x - 3)(x + 7) as (x - 3) * (x + 7) gives x^2 + 4x - 21.

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Answer:

option D

congruent

Step-by-step explanation:

A)

A chord of a circle is a straight line segment whose endpoints both lie on the circle.

B)

parallel lines NEVER meet at a single point

C)

the segments are perpendicular to the circle

D)

Tangent segments to a circle from the same external point are congruent.

As,

if we make a right angle triangle from these tangent, these both will share same central leg as well as same other leg, radius.

Answer:

0.964

Step-by-step explanation:

It's easier to approach this problem if you find the prob. that z is less than -1.8 and then subtract your result from 1.00.

The prob. that z is less than -1.8 can be found using any calculator with probability and statistic functions.

The prob. that z is less than -1.8 = normcdf(-100,-8) = 0.036.  Here "cdf" stands for "cumulative probability density function)," -100 is far to the left of z = -1.8, and the result (0.036) is the area under the standard normal probability density curve to the left of z = -1.8.

Finally, subtract this 0.036 from 1.000, obtaining 0.964.  This is the probability that z is greater than -1.8.

Answer:

1/5

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

1/2 divided by 8= 0.0625

There is not much that can be done to figure out how to write 0.0625 as a fraction, except to literally use what the decimal portion of your number, the .0625, means.

Since there are 4 digits in 0625, the very last digit is the "10000th" decimal place.

So we can just say that .0625 is the same as 0625/10000.

The fraction is not reduced to lowest terms. We can reduce this fraction to lowest

terms by dividing both the numerator and denominator by 625.

Why divide by 625? 625 is the Greatest Common Divisor (GCD)

or Greatest Common Factor (GCF) of the numbers 625 and 10000.

So, this fraction reduced to lowest terms is

So your final answer is:  1/16

1. 1/2 divided by 8

2.

1

——

2x8

3 equals 2x8=?

=1/?

4.

1/2 divided by that number ( the sum of 2x8) equals your answer!

Your welcome if you get it wrong so soory. Hope everything goes good!

Answer:

c = 5

Step-by-step explanation:

This is the classic problem that the ancients (particularly the Egyptians) used extensively. When the Nile over flowed in spring, the land had to be reclaimed and  surveyed in the early summer for planting. The 3-4-5 triangle was used to determine right angles for surveying purposes.

Formula

c^2 = a^2 + b^2

Givens

a = 3

b = 4

c = ?

Solution

c^2 = 3*3 + 4*4

c^2 = 9 + 16

c^2 = 25

Take the square root of both sides

To take the square root on your calculator, find the √ on the key pad. Some calculators give it a key and some have the symbol on the body of the calculator. If has its own key do it like this.

√

25

=

The answer should come up as five. If the √ is on the body of the calculator, then

2nd F

√

25

=

The same 5 will come up.

Answer

c = 5

The hypotenuse c of a right triangle with legs a = 3 and b = 4 can be found using the Pythagorean theorem, yielding c = 5

To solve for c, the hypotenuse of a right triangle when given the legs a and b, we utilize the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). This is expressed as a² + b² = c².

To solve for c when a = 3 and b = 4, we substitute these values into the theorem to get 3² + 4² = c², which simplifies to 9 + 16 = c². When we combine the values we get 25 = c². Finally, we take the square root of both sides to solve for c, resulting in c = 5.

Answer:

53 add the 2 and you get 8

Step-by-step explanation:flip them 35 + 18 =53

Answer:

53

Step-by-step explanation:

 Let x = the first digit

and y = the second digit. Then,

    xy = the number

We have two conditions:

(1) x + y = 8

(2) 10y + x = 10x + y - 18

Simplify (2)                     10y + x - 10x - y = -18

                                              (3) 9y - 9x  = -18

Multiply Equation (1) by 9     (4) 9x + 9y =  72

Add Equations (3) and (4)                18y =  54

Divide each side by 18         (5)           y =    3

Substitute (5) into (1)                       x + 3 =   8

Subtract 3 from each side                   x =   5

x = 5 and y = 3

The number is 53.

Check:

(1) 5 + 3 = 8     (2) 10×3 + 5 = 10×5 + 3 - 18

         8 = 8             30  + 5 =   50  + 3 - 18

                                      35 =       53    - 18

                                      35 =            35

Answer:

174 75/142

B

Step-by-step explanation:

Formula

1 coin = Total Mass / number of coins

Givens

Total mass 24783 Ounces (That's awfully heavy. You sure you don't mean grams?)

142 coins

Solution

1 coin = 24783 / 142

1 coin = 174.528169

This is multiple choice so you only have to try one thing. What is 75/142? It turns out that the result is 75/142

75/142 = 0.528169

Another way to do it is to figure out what 174 in whole numbers would weigh:

174 * 142 = 24708

What number is left over? 24783 - 24708 = 75

So the fractional part is 75/142

ANSWER

[tex]{f}^{ - 1}( f(x)) = f( {f}^{ - 1} ( x)) = x[/tex]

EXPLANATION

The given functions are;

[tex]f(x) = \frac{1}{2} x[/tex]

[tex] {f}^{ - 1} (x) = 2x[/tex]

[tex]f( {f}^{ - 1} (x)) = f(2x)[/tex]

[tex]f( {f}^{ - 1} (x)) = \frac{1}{2} \times 2x = x[/tex]

Also,

[tex] {f}^{ - 1}( f(x)) = {f}^{ - 1} ( \frac{1}{2} x)[/tex]

[tex]{f}^{ - 1}( f(x)) = 2 \times \frac{1}{2} x = x[/tex]

In general,

[tex]{f}^{ - 1}( f(x)) = f( {f}^{ - 1} ( x)) = x[/tex]

Answer:

Step-by-step explanation:

The angular coefficient is a slope.

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation y = 4 - 2x → y = -2x + 4

The slope is m = -2

Answer:

The missing value is [tex]18.41\°[/tex]

Step-by-step explanation:

Let

x-----> the angle (missing value)

we know that

[tex]sin(x)=\frac{6}{19}[/tex]

therefore

[tex]x=arcsin(\frac{6}{19})=18.41\°[/tex]

Answer:

d=4/7

Step-by-step explanation:

d=5/7*4/5

Answer:

How you make predictions is by finding the ratio of the number of times an event occurs to the total number of trials.

Step-by-step explanation:

Answer:

after 50 minutes

Step-by-step explanation:

tom moves 2 meters/minute faster than you because (40-42)=-2

therefore 100/2=50

so 50 minutes

I'm sure this is the answer

D) an = 2 + 5n

ùwú~☆

Answer:

thirty-six inches

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

12x3 = 36

Answer: Option a.

Step-by-step explanation:

1. Multiply the numerator and the denominator of the expression shown in the image, by the conjugate of the denominator ( [tex]\sqrt{x}-\sqrt{7}[/tex]), as you can see below:

[tex]\frac{(\sqrt{x})(\sqrt{x}-\sqrt{7})}{(\sqrt{x}+\sqrt{7})(\sqrt{x}-\sqrt{7})}[/tex]

2. By definition, you know that:

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

3. Therefore, you obtain the following result:

[tex]\frac{(\sqrt{x})^2-\sqrt{7x}}{(\sqrt{x})^2-(\sqrt{7})^2}=\frac{x-\sqrt{7x}}{x-7}[/tex]

Then, the answer is option a.

The answer is:

a. [tex]\frac{x-\sqrt{7x}}{x-7}[/tex]

Rationalizing involves eliminating or the roots of both numerator and denominators, there are severals ways to do it but one of the most common methods is using the conjugate term.

We must remember that:

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

So, for the given expression:

[tex]\frac{\sqrt{x}}{\sqrt{x}+\sqrt{7}}[/tex]

The conjugate is:

[tex]\sqrt{x}-\sqrt{7}[/tex]

The, we need to multiply both numerator and denominator (in order to not affect the expression) by the conjugate expression in order to eliminate the radicals in the denominator:

[tex]\frac{\sqrt{x}}{\sqrt{x}+\sqrt{7}}*\frac{\sqrt{x}-\sqrt{7}}{\sqrt{x}-\sqrt{7}}=\frac{(\sqrt{x})*(\sqrt{x}-\sqrt{7})}{(\sqrt{x}+\sqrt{7})*(\sqrt{x}-\sqrt{7})}[/tex]

[tex]\frac{(\sqrt{x})*(\sqrt{x}-\sqrt{7})}{(\sqrt{x}+\sqrt{7})*(\sqrt{x}-\sqrt{7})}=\frac{(\sqrt{x})^{2}-(\sqrt{x})*(\sqrt{7})}{(\sqrt{x})^{2}-(\sqrt{7})^{2}}[/tex]

[tex]\frac{(\sqrt{x})^{2}-(\sqrt{x})*(\sqrt{7})}{(\sqrt{x})^{2}-(\sqrt{7})^{2}}=\frac{x-\sqrt{7x}}{x-7}[/tex]

Have a nice day!

Answer:

64

Step-by-step explanation:

To find the area of the figure, split it into two shapes - a trapezoid and a rectangle.

The area of the trapezoid is found using A = 1/2 (a+b)h. Substitute a = 6, b = 4 and h = 8.

A = 1/2(6+4)(8) = 1/2(10)(8) = 40

The area of a rectangle is found using A = b*h. Substitute b = 6 and h = 4.

A = 6*4 = 24

Together the area adds to 40 + 24 = 64

It is a right triangle because of the square on the bottom left which represents a 90 degree angle.

Hope this helps.

Answer:

[tex]\large\boxed{C=87.92\ in}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

We have A = 615.44 in². Substitute:

[tex]615.44=\pi r^2[/tex]

[tex]\pi\approx3.14[/tex]

[tex]3.14r^2=615.44[/tex]          divide both sides by 3.14

[tex]r^2=196\to r=\sqrt{196}\\\\r=14\ in[/tex]

The formula of a circumference of the circle:

[tex]C=2\pi r[/tex]

Substitute:

[tex]C=2\pi\cdot14=28\pi\approx28\cdot3.14=87.92\ in[/tex]

Answer:

You cannot

Step-by-step explanation:

The statement you're asking us to solve is an expression not an equation. Therefore, there isn't a solution.

Answer:

no solutions

Step-by-step explanation:

10+5h-6+8 is not equal to anything, so you cannot solve this, but you can simplify it to 5h+12 by doing 10-6 first, and then adding 8 and 5h to the answer.

Answer: The answer to this question is 3y + 3z, You need to distribute into the parentheses.

Step-by-step explanation: Distribute the 4 outside the parentheses to each inside term. Then, move the coefficient in front of the term. Finally, rearrange to put the coefficient in front.

Answer:

[tex]\frac{3x}{5(x+2)}[/tex]

Step-by-step explanation:

Multiply the fractions by multiplying the numerators.

[tex]\frac{6x^2}{x(x-3)} * \frac{(x-3)}{10(x+2)} \\\\\frac{6x^2(x-3)}{10x(x-3)(x+2)} \\\\ \frac{6x}{10(x+2)} \\\\\frac{3x}{5(x+2)}[/tex]

Answer:

There was 94 unopened packets.

Step-by-step explanation:

Divide 9425 by 100.

9425 / 100 = 94.25

That means there was 94 unopened packets.

Answer:   c) -1372

Step-by-step explanation:

[tex]\sqrt[3]{2x} +6=-8\\\\\sqrt[3]{2x} =-14\\\\(\sqrt[3]{2x})^3 =(-14)^3\\\\2x=-2744\\\\\boxed{x=-1372}[/tex]

Answer:

12

Step-by-step explanation:

Lets c = chord inside circle

3(3 + c) = 6^2

9 + 3c = 36

3c = 27

c = 9

x = 3 + 9

x = 12

Answer:

The answer is x=12

Step-by-step explanation:

In order to determine the "x" value, we have to know about the tangent to a circle.

The line that joins two infinitely close points from a point on the circle is a Tangent. It means, the lines that intersect the circles exactly in one single point are tangents.

I have attached an image that shows a tangent to a circle. Also there is a formula that relates the segments of the circle.

According to the same notation of the image:

[tex]PS^2=PQ*PR[/tex]

In this case:

[tex]PS=6\\PQ=3\\PR=x\\6^2=3*x\\x=\frac{36}{3}=12[/tex]

Finally the answer is x=12

the first one is 8.5m2 + 2.2n ,, then the other person had the rest right . and number 3 could be 3x+1/3 ,, but it could also have different answers.

Answer:

3

Step-by-step explanation:

We are given the following expression and we are to evaluate it when the value of [tex] y [/tex] is [tex] - 3 [/tex]:

[tex] 2 y + 7 - 4 y - 1 0 [/tex]

Given that [tex] y = 3 [/tex], we will substitute this value of [tex] y [/tex] in the given expression to get:

[tex] 2 y + 7 - 4 y - 1 0 [/tex]

[tex] - 2 y - 3 [/tex]

[tex] - 2 (-3) - 3 [/tex]

[tex] 3 [/tex]

Answer:

.5 or 1/2

Step-by-step explanation:

type the problem in you calculator

Answer:

i need more details

Step-by-step explanation: