Factorise the following:
10 – x^2

Answer:

negative:-7, -8, -9

positive: 8,4,6

Step-by-step explanation:

Answer:

5 and -5

Step-by-step explanation:

you could use a number line and make it go two ways from 0, any number to the left is negative, any numbers right are positive.

Answer:

The quadratic equation is

3x^2+ 27x + 60

Step-by-step explanation:

Here, we have the roots -5 and -4 and the leading coefficient of 3

Mathematically, we simply have this done to the roots;

x = -5 implies x+ 5

x = -4 implies x + 4

The product of this two will be;

(x + 5)(x + 4)

= x^2 + 5x + 4x + 20

= x^2 + 9x + 20

we add the leading coefficient

that would be;

3(x^2 + 9x + 20)

= 3x^2 + 27x + 60

Answer: y=2x-3

Step-by-step explanation: I looked it up.

Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5

Step-by-step explanation:

and 0.5 x 12 is 6

The measure of the side length of the triangle is 6. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

If triangles ADE and ABC shown in the figure below are similar.

From the figure, we have

x / 12 = 2 / 4

      x = 6

Then the correct option is C.

The complete question is attached below.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer:

70 miles

Step-by-step explanation:

You multiply 35 by 2.5

Answer:

300 television sets total

300 - 90 flat screens = 210

flat screens 90:210 other TVs

now divide each side of the ratio by a common factor to simplify. I'm going to use 30

flat screens 3:7 other TVs

this cannot be simplified any further so the ratio is

flat screens 3:7 other tvs

Answer:

surface area is the answer

Answer: they had 7/12 or 7 slices out of 12 slices

Step-by-step explanation:

7 is a prime number so you can't a simplify the fraction and the denominator is 12 and 3 plus 4 is 7 which is the numerator

Answer:

180° on a straight line

180 = 18x - 54

add 54 to both sides

234 = 18x

X = 234/18

X= 13°

6 X 13 - 5 = 73

12 X 13 - 49 = 107

107 + 73 = 180

Answer:

hehehe

Step-by-step explanation:

Step-by-step explanation:

Q1. diameter =90yd radius=45

circumference of circle=2×pi×radius

"" =2×3.14×45

=282.6 yd

Q2 diameter =18m radius=9

area of circle=pi×(radius)

""" =3.14×9²

""" =254.34m²

Answer:

2.64

Step-by-step explanation:

The sqhate root of 7 is 2.64575131106. Usually this would be 2.64 when rounded to nearest hundredth.

Answer: I totally agree. In fact, it's the closest thing to social media I have LOL

Answer:

X=48

Step-by-step explanation:

x^2+y^2=z^2

but in this case it's z^2-y^2=x^2

so 73^2= 5329

and 55^2=3025

5329-3025=2304

Square Root of 2304 is 48, meaning X=48

Hope this helps!

Answer:

Sophia can drive 3672 miles using 18 gallons of gas.

Step-by-step explanation:

204 x 18 = 3672.

Answer:  $50

Step-by-step explanation:  Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)

It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.

Answers:

x= -10 and y= 16

3y = -6x - 12

3y = -6(-2y+22) -12

3y = 12y - 144

3y + -12y = 12y -144 + -12y

-9y = -144

divide -9 on both sides

y= 16

x= -2y+22

x= -2y+22

x= (-2)(16)+22

x= -10

Answer:

4.50/2=2.25

11.25/5=2.5

22.5/10=2.25

Step-by-step explanation:

Hope this helps ♡

Answer: it is called the base

Step-by-step explanation:

Answer:

An equilateral triangle has all its 3 angles the same.

Hope this helped. :)  

Equilateral triangle:

An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.

Additionally, an equilateral triangle has three equal angles of 60 degrees.

Equilateral Triangle Perimeter:

In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.

In the event that ABC is an equilateral triangle, then its perimeter is;

Perimeter = AB + BC + AC

P = a + a + a

P = 3a    [where "a" is the triangle's side length.]

To read more about "Equilateral Triangle" here:

brainly.com/question/10681095

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

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

so we can use the template above and get

[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]

So that simplifies to

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

[tex]\frac{(x-1)^{-.5}}{2}[/tex]

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x

Answer in interval notation is  (-3, 1)

This is the same as saying -3 < x < 1

=====================================================

Explanation:

Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.

These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.