Simplify to create an equivalent expression. 8k−5(−5k+3) Choose 1 answer: A 33k+15 B 33k-15 C 3k+3 D 3k-3

Answer:

6

Step-by-step explanation:

If the graph intersects the x-axis, then there is an x-intercept at that point. So, we know that 3 and 9 are the x-intercepts of the parabola.

Parabolas can only have 0, 1, or 2, x intercepts. The x coordinate of the vertex will be the average of the x coordinates of the x-intercepts, since the vertex will be in the middle of the 2 x intercept points.

Take the average of 3 and 9:

(3 + 9) / 2

12 / 2

= 6

The x coordinate of the vertex is 6.

Answer:

la respuesta es 25

Step-by-step explanation:

para calcular este tanto ciento, sugerimos usar esta formula:

%/100 = parte/total

realizando la multiplicatión en cruz:

25% x 100 = 100 x parte, o

2500 = 100 x parte

ahora es sólo dividir por 100 y obtener la respuesta:

parte = 2500/100 = 25

Answer:

[tex]\bold{21.07^\circ}[/tex]

Step-by-step explanation:

The given values can be mapped to an isosceles [tex]\triangle ABC[/tex].

Side AB = AC

Vertical height, AD = 2.1 m

The distance between one side to the other side of ceiling = 10.9 m

To find:

Pitch (Angle of the roof ) = ?

i.e. [tex]\angle B[/tex] or [tex]\angle C[/tex] = ? (because it is isosceles triangle, so both will be equal)

Solution:

As [tex]\triangle ABC[/tex] is isosceles, so vertical height will divide the side BC in two equal parts

i.e. [tex]BD = DC = \frac{1}{2} BC[/tex]

[tex]\therefore BD = \frac{10.9}{2} = 5.45 m[/tex]

In [tex]\triangle ABD[/tex], let us use tangent trigonometric property.

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tanB = \dfrac{AD}{BD}\\\Rightarrow tanB = \dfrac{2.1}{5.45}\\\Rightarrow tanB = 0.385\\\Rightarrow \angle B = tan^{-1}( 0.385)\\\Rightarrow \bold{\angle B = 21.07^\circ}[/tex]

Answer:

The answer is 72 degrees

Step-by-step explanation:

I hope this helps, leave a heart and rating plz!!?:)

The correct option  is 72°. The measure of angle CBE is 72° by using the data angle ABC is (3 x) degrees and angle DEF is (2 x) degrees.

To determine the measure of angle CBE, we need to analyze the given information. We are provided with the angles ABC and DEF, where angle ABC is represented by 3x degrees and angle DEF is represented by 2x degrees.

From the description, we can see that angle CBE is formed by the combination of angles ABC and DEF. The angle ABC is adjacent to angle CBE at point B, and the angle DEF is adjacent to angle CBE at point E.

To find the measure of angle CBE, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Since angle ABC and angle D E F are adjacent to angle CBE and form a straight line, they are supplementary angles. Therefore, the sum of angle ABC and angle DEF is 180 degrees.

We can set up the equation:

3x + 2x = 180°

Combining like terms, we get:

5x = 180°

To solve for x, we divide both sides of the equation by 5:

x = 36°

Now that we know the value of x, we can find the measure of angle CBE by substituting x into the expression for angle DEF:

2x = 2 * 36 = 72 degrees

Therefore, the measure of angle CBE is 72 degrees.

Learn more about angles  here:

https://brainly.com/question/32854046

#SPJ2

Answer:

  a +b -3c +15

Step-by-step explanation:

Write the subtraction you want to perform, use the distributive property, collect terms:

  (3a-4b-c+6) -(2a-5b+2c-9)

  = 3a -4b -c +6 -2a +5b -2c +9 . . . . . . distribute the minus sign

  = a(3-2) +b(-4+5) +c(-1-2) +(6+9) . . . . find and group like terms

  = a +b -3c +15

Answer:

a - b -3c + 15

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given the illustration in the question

Required:

Use deductive reasoning to prove (a)

From your question, you need only the (b) part and this is done as follows;

Step 1: Represent the number with: n

Step 2: Multiply n by 4: 4n

Step 3: Add 10 to (2) above: 4n + 10

Step 4: Divide (3) above by 2: (4n + 10)/2 = 4n/2 + 10/2 = 2n + 5

Step 5: Subtract 5 from (4): 2n + 5 - 5 = n

Hence, the end result is proved to be 2n

Test this with any of the given illustration in (a) part, your answer will always be 2n

Quilt

Step-by-step explanation:

Answer:

a. and e.

Step-by-step explanation:

Hello, there are two ways to handle this kind of question.

... Either you solve the equation ...

[tex]x^2+4x-9=x+1\\\\x^2+3x-10=0\\\\x^2-2x+5x-10=x(x-2)+5(x-2)=(x+5)(x-2)=0\\\\x= -5 \ \ or \ \ x = 2[/tex]

So the right answers are a. and e.

... Or, you check which answer can be right.

We replace x by 2 and the two expressions are equal.

[tex]2^2+4*2-9=4+8-9=3 \ and \ 2+1=3[/tex]

So this is a. 2

We replace x by 4 and the two expressions are not equal.

[tex]4^2+4*4-9=16+16-9=23 \ and \ 4+1=5[/tex]

So this is not b. 4

We replace x by -7 and the two expressions are not equal.

[tex]7^2-4*7+9=49-28+9=30 \ and \ -7+1=-6[/tex]

So this is not c. -7

We replace x by -3 and the two expressions are not equal.

[tex]3^2-4*3-9=9-12-9=-12 \ and \ -3+1=-2[/tex]

So this is not d. -3

We replace x by -5 and the two expressions are equal.

[tex]5^2-4*5-9=25-20-9=-4 \ and \ -5+1=-4[/tex]

So this is e. -5

We replace x by -4 and the two expressions are not equal.

[tex]4^2-4*4-9=16-16-9=-9 \ and \ -4+1=-3[/tex]

So this is not f. -4

Thank you.

Answer:

66

Step-by-step explanation:

12+14=26

26+40=66

Answer:

[tex] Quotient = \frac{8 - 2t}{3} [/tex]

Step-by-step explanation:

Quotient, in maths, is what you get when two number or expressions together. That is, dividend over the divisor.

Thus, from what we're given:

dividend is 8 decreased by 2 times t, which can be expressed as [tex] 8 - 2*t = 8 - 2t [/tex].

The divisor is 3.

[tex] Quotient = \frac{8 - 2t}{3} [/tex]

Answer:

48

Step-by-step explanation:

180 - 90 - 42 = x

x = 48

Answer:

A) 48°

Step-by-step explanation:

Sum of all angles of a triangle = 180

90 + 42 + x = 180

Add like terms

132 +x = 180

Subtract 132 form both sides

x = 180 -132

x = 48°

Answer:

0.972 is a rational real number.

Step-by-step explanation:

A rational number is defined as the number that can be expressed from the result of a fraction.

1/4 = 0.25

An integer number is all those that do not have a decimal part.

(-∞ ..., -3, -2, -1, 0, 1, 2, 3, ... ∞)

Natural numbers are all those positive numbers starting from 0 to infinity.

N = (0, 1, 2, 3, 4, 5, ... ∞)

Answer:

1 ≤ x  < 4

Step-by-step explanation:

-2≤ 2x - 4 < 4

Add 4 to each side

-2+4 ≤ 2x - 4+4 < 4+4

2 ≤ 2x  < 8

Divide each side by 2

2/2 ≤ 2x/2  < 8/2

1 ≤ x  < 4

Answer:

a.0<=x<-2

Step-by-step explanation:

Answer:

  2.0

Step-by-step explanation:

Subtract the smaller number from the larger to find their difference:

  1.5 -(-0.5) = 2.0

The distance between the given values is 2.0.

Is it a true or false? If yes, the answer is false

If u have to solve the answer will be hx=x.2+kx=x-hk2

Answer:

Step-by-step explanation:

[tex]LHS = \frac{1}{m^{2}}-\frac{1}{m^{2}+1}\\\\\\=\frac{1*(m^{2}+1)}{m^{2}*(m^{2}+1)}-\frac{1*m^{2}}{(m^{2}+1)*m^{2}}\\\\\\=\frac{m^{2}+1- m^{2}}{(m^{2}+1)*m^{2}}\\\\\\=\frac{1}{(m^{2}+1)m^{2}}=RHS[/tex]

Answer:

SA= 289.56 m^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given , x = 7

let's find :

[tex] \sf{5 - 3(x - 1)}[/tex]

Plug the value of x

⇒[tex] \sf{5 - 3(7 - 1)}[/tex]

Subtract 1 from 7

⇒[tex] \sf{5 - 3 \times 6}[/tex]

Multiply the numbers

⇒[tex] \sf{5 - 18}[/tex]

Calculate

⇒[tex] \sf{ - 13}[/tex]

Hope I helped!

Best regards!!

The value of 5-3(x-1) when x=7 is -13.

Evaluation is nothing but to solve an algebraic expression means to find the value of an expression by replacing the value of the variable in it.

To evaluate the expression value, we simply substitute the variable from its given value and simplify the expression by using order of operations.  

In our case, the given expression is:

5-3(x-1)

Substitute the given number i.e., 7 for the variable in the expression:

5-3(7-1)

Solve the bracket first:

5-3(6)

Now solve the multiplication part:

5 - 18

Finally Subtract 5 from -18, we get:

-13

Hence the final value of the expression is -13 at x=7.

To learn more about Evaluation, refer to the link:

https://brainly.com/question/12837686

#SPJ2

Answer:

c = - [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The product of the zeros = [tex]\frac{c}{a}[/tex] = [tex]\frac{1}{2}[/tex]

Given

2x² - 3x - 5c

with a = 2 and c = - 5c , then

[tex]\frac{-5c}{2}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

- 10c = 2 ( divide both sides by - 10 )

c = [tex]\frac{2}{-10}[/tex] = - [tex]\frac{1}{5}[/tex]

Answer:

3/5

Step-by-step explanation:

A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:

[tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex]

Given the conic equation   [tex]r=\frac{3}{5-3cos(\theta)}[/tex]

We have to make the conic equation to be in the form [tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex].

[tex]r=\frac{3}{5-3cos(\theta)}\\\\Multiply\ the\ numerator\ and \ denominator\ by \ 1/5\\r=\frac{3*\frac{1}{5} }{(5-3cos(\theta))*\frac{1}{5}}\\\\r=\frac{3*\frac{1}{5} }{5*\frac{1}{5}-3cos(\theta)*\frac{1}{5}}\\\\r=\frac{\frac{3}{5} }{1-\frac{3}{5}cos(\theta)}[/tex]

Comparing with  [tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex]. gives:

e = 3/5, p = 1

The eccentricity is 3/5

Answer:

jklfhgugt

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]3\sqrt{3}\times\sqrt{3}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a\\\\\sqrt{3}\sqrt{3}=3\\\\=3\times\:3\\\\=9[/tex]

Answer:

Q1)i) Q= 7p

ii) Q= 35

iii) P= 6

Q2)x= 3

Q3) B=4

Answer:

0

Step-by-step explanation:

The chart shows k(x) and the value of x.

So when x is -3, k(-3) is 0.

Answer:

the answer would be -6 because that is the output of k(-3)

Answer:

CD = √11 and CE = √11

Step-by-step explanation:

We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.

Answer:

[tex]\huge \boxed{CD =\sqrt{11} } \\ \\ \huge \boxed{CE =\sqrt{11} }[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can apply trigonometric functions to solve for the missing sides.

sin θ  = opp/hyp

sin 45 = CD /√22

Multiply both sides by √22.

√22 sin 45 = CD

√11 = CD

cos θ = adj/hyp

cos 45 = CE /√22

Multiply both sides by √22.

√22 cos 45 = CE

√11 = CE

Answer:

the answer is 15

Step-by-step explanation:

f(x)=5(2-x)

f(-1)=5(2-(-1))

f(-1)=5(2+1)

f(-1)=5(3)

f(-1)=15

Answer: x<-12

Step-by-step explanation:

let x= the number

2x+9<-15

    2x<-24

      x<-12

Hope this helps!! :)

You may ask any further questions

Answer:

Step-by-step explanation:

1) Why is f(x)=(3x+1/3)^2+8/9 not the vertex form of f(x)=9x^2+2x+1?

A.The expression has a constant outside of the squared term.

B. The expression is not the product of two binomials.

C. The variable x has a coefficient.

D. Some of the terms are fractions instead of integers.

Vertex form is a(x -h)^2 +k. The coefficient of x inside parentheses is 1. The given form is not vertex form because the leading coefficient has not been removed to outside parentheses.

__

2) What is the vertex of the parabola with the equation y=(x−2)^2+10?

A. (−2, −10)

B. (2, 10)

C. (−2, 10)

D. (2, −10)

Vertex form is a(x -h)^2 +k. Comparing to the given equation, we find the vertex (h, k) = (2, 10).

__

3) For the given function, identify the x- and y-intercepts if any, the vertex, the axis of symmetry, and the maximum or minimum value. f(x)=−x^2+25

A. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,−25). The vertex is (0,−25). The axis of symmetry is x=0. The minimum value of the function is −25.

B. There are no x-intercepts. The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is y=0. The maximum value of the function is 25.

C. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

D. The x-intercepts are (−25,0) and (25,0). The y-intercept is (0,5). The vertex is (0,5). The axis of symmetry is x=0. The maximum value of the function is 5.

The x-intercepts are the values of x that make y=0. They are (±5, 0). The y-intercept is the value of y when x=0. It is (0, 25).

__

4) A student says that the function f(x)=−x^2−9 has the x-intercepts (−3,0) and (3,0). Is the student correct? If not, explain why.

A. The student is correct.

B. The student is not correct. The equation f(x)=0 has one real solution, so the x-intercept is (9,0).

C. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph has only one x-intercept, (0,0).

D. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph does not have any x-intercepts.

The parabola opens downward and has a maximum value of -9, so cannot cross the x-axis. There are no x-intercepts, hence no real solutions.