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3 years ago

7

PLEASE HELP FAST answers: a.) 4 b.) 10 c.) 6 d.) 1

1 answer:

VLD [36.1K]3 years ago

6 0

Answer:

4

Step-by-step explanation:

There are 5 points. So there are 4 segments. The segments are the line between two points.

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Find the value of x in each of the given triangles.

navik [9.2K]

Answer:

12

Step-by-step explanation:

5x + 7x + 3x = 180°

15x = 180°

x = 180°÷15

x = 12

7 0

3 years ago

Will mark brainliest!!!plz helppp

muminat

Answer:

(5,-6)

Step-by-step explanation:

ONE WAY:

If $f(x)=x^2-6x+3$ , then $f(x-2)=(x-2)^2-6(x-2)+3$ .

Let's simplify that.

Distribute with $-6(x-2)$ :

$f(x-2)=(x-2)^2-6x+12+3$

Combine the end like terms $12+3$ :

$f(x-2)=(x-2)^2-6x+15$

Use $(x-b)^2=x^2-2bx+b^2$ identity for $(x-2)^2$ :

$f(x-2)=x^2-4x+4-6x+15$

Combine like terms $-4x-6x$ and $4+15$ :

$f(x-2)=x^2-10x+19$

We are given $g(x)=f(x-2)$ .

So we have that $g(x)=x^2-10x+19$ .

The vertex happens at $x=\frac{-b}{2a}$ .

Compare $x^2-10x+19$ to $ax^2+bx+c$ to determine $a,b,\text{ and } c$ .

$a=1$

$b=-10$

$c=19$

Let's plug it in.

$\frac{-b}{2a}$

$\frac{-(-10)}{2(1)}$

$\frac{10}{2}$

$5$

So the $x-$ coordinate is 5.

Let's find the corresponding $y-$ coordinate by evaluating our expression named $g$ at $x=5$ :

$5^2-10(5)+19$

$25-50+19$

$-25+19$

$-6$

So the ordered pair of the vertex is (5,-6).

ANOTHER WAY:

The vertex form of a quadratic is $a(x-h)^2+k$ where the vertex is $(h,k)$ .

Let's put $f$ into this form.

We are given $f(x)=x^2-6x+3$ .

We will need to complete the square.

I like to use the identity $x^2+kx+(\frac{k}{2})^2=(x+\frac{k}{2})^2$ .

So If you add something in, you will have to take it out (and vice versa).

$x^2-6x+3$

$x^2-6x+(\frac{6}{2})^2+3-(\frac{6}{2})^2$

$(x+\frac{-6}{2})^2+3-3^2$

$(x+-3)^2+3-9$

$(x-3)^2+-6$

So we have in vertex form $f$ is:

$f(x)=(x-3)^2+-6$ .

The vertex is (3,-6).

So if we are dealing with the function $g(x)=f(x-2)$ .

This means we are going to move the vertex of $f$ right 2 units to figure out the vertex of $g$ which puts us at (3+2,-6)=(5,-6).

The $y-$ coordinate was not effected here because we were only moving horizontally not up/down.

3 0

3 years ago

Which has the same value as 5/8 ÷2.. A 5/8 × 2/1. b. 8/5 ×2/1 . c5/8 ÷2/1. .d.5/8 × 1/2

Kisachek [45]

Answer:

5/8 x 1/2

Step-by-step explanation:

To change division into multiplication, you must find the reciprocal by flipping the second fraction (note that if it is a whole number, as in this case, it is technically over 1).

(5/8)/(2/1) = (5/8)(1/2)

d. is your answer.

~

4 0

3 years ago

my dudes could you help me cause im really bad at math heres the problem choose all the values that make the inequality true. 28

Lubov Fominskaja [6]

Answer:

0, 5, 10

Step-by-step explanation:

You can solve the inequality to determine what values to select.

28 -7x ≤ -4(-7x -7) . . . . . . given

28 -7x ≤ 28x +28 . . . . . . eliminate parentheses*

-7x ≤ 28x . . . . . . . . . . . . . subtract 28 from both sides

0 ≤ 35x . . . . . . . . . . . . . . add 7x to both sides

0 ≤ x . . . . . . . . . . . . . . . . . divide by 35

So, all values that are 0 or greater will make the inequality true:

0, 5, 10

_____

* Parentheses are eliminated using the distributive property. The factor outside parentheses multiplies each of the terms inside. Pay attention to signs.

-4(-7x -7) = (-4)(-7x) +(-4)(-7) = 28x +28

5 0

3 years ago

Fill in the blank. In the triangle below, x = ___. Round your answer to two<br> decimal places.

scZoUnD [109]

Answer:

x ≈ 37.53

Step-by-step explanation:

To find the value of x, we will follow the steps below:

first, we need to find angle z

z+47° +90° = 180° (sum of interior angle of a triangle)

z + 137° = 180°

subtract 137° from both-side of the equation

Z + 137°-137° = 180° - 137°

Z=43°

angle Z = 43°

We can now use the sine rule to find the value of x

Using the sine rule

$\frac{sin Z}{z} = \frac{sin X}{x}$

where Z and X are angles and z and x are side length

from the diagram given,

X = 47° and we find Z to be 43°

side z = 35

we can now proceed to substitute the values into the formula

$\frac{sin 43}{35}$ = $\frac{sin 47}{x}$

cross-multiply

x sin 43° = 35 sin 47°

divide both-side of the equation by sin 43°

x sin 43° /sin 43°= 35 sin 47° /sin 43°

x ≈ 37.53 to two decimal place

3 0

3 years ago