Solve the system of equations using subtraction.
2x - 3y = -5
2x + y = 7
The solution is . (Type an ordered pair.)

Answer:

Step-by-step explanation:

Answer: The answer is D .

Step-by-step explanation:

Answer:

A. (0,0)

Step-by-step explanation:

Substitute (0, 0) into both of the equations

(0, 0) = (x, y)

x = 0

y = 0

{ 2(0)−(0)≥−2

{8(0)−(0)<5

​Multiply 2 and 0 to get 0.

0−0≥−2 and 8×0−0<5

Subtract 0 from 0 to get 0.

0≥−2 and 8×0−0<5

Compare 0 and −2.

true and 8×0−0<5

Multiply 8 and 0 to get 0.

true and 0−0<5

Subtract 0 from 0 to get 0.

true and 0<5

Compare 0 and 5.

true and true

The conjunction of true and true is true.

Also look at the graphs

Answer: There is one valid solution to the equation 5x + 8 - 7x = -4x + 1, x = -3.5.

Step-by-step explanation:

Answer:

[tex](x + 2)[/tex] isn't a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex].

Step-by-step explanation:

By the Factor Theorem, for any constant [tex]a[/tex], [tex](x - a)[/tex] would be a factor of a polynomial [tex]p(x)[/tex] if and only if [tex]x = a[/tex] is a root (a zero) of that polynomial ([tex]p(a) = 0[/tex].)

In other words, [tex](x - a)[/tex] is a factor of polynomial [tex]p(x)[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]p(x)\![/tex] with the constant [tex]a[/tex] would yield [tex]0[/tex].

For example, in this question, [tex](x + 2)[/tex] could be rewritten as [tex](x - (-2))[/tex] (value of the constant is [tex]a = (-2)[/tex].)

By the Factor Theorem, [tex](x - (-2))[/tex] would be a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] evaluates to [tex]0[/tex].

Replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] gives:

[tex](-2)^{3} + 2\, (-2)^{2} - (-2) - 2[/tex].

Simplify:

[tex]\begin{aligned}& (-2)^{3} + 2\, (-2)^{2} - (-2) - 2 \\ =\; & (-8) + 8 + 2 - 2 \\ =\; & 0\end{aligned}[/tex].

Since [tex]p(-2) = 0[/tex], [tex](x - (-2))[/tex] (or equivalently, [tex](x + 2)[/tex]) is indeed a factor of the polynomial [tex]p(x)[/tex].

Answer:

2x+y=7

Step-by-step explanation:

Hi there!

We are given that a line has a y intercept of 7 and passes through the point (1,5)
We want to write the equation of this line in standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal zero, and a cannot be negative
To start, we can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We are given that the y intercept is 7, so we can plug it in as b into the equation.
Here is the equation of the line so far:
y=mx+7
Now we need to find m

as the equation passes through the point (1,5) we can use it to help solve for b.

Substitute 1 as x and 5 as y into the equation.

5=m*1+7

Multiply

5=m+7

Subtract 7 form both sides

-2=m
Substitute -2 as m into the equation

y=-2x+7

This is the equation in slope-intercept form

However, remember that we aren't done, as the problem wants us to have the equation in standard form

In standard form, the terms containing x and y are on the same side; right now, they are on opposite sides.

So we can add -2x to both sides in order to move it to the left side

y=-2x+7

+2x +2x

______
2x + y = 7

This is the equation of the line in standard form.
Hope this helps!
If you would like a similar problem for practice, take a look here: https://brainly.com/question/8829271

Step-by-step explanation:

the distance formula

d = sqrt((x2 - x1)² + (y2 - y1)²)

is simply based on the Pythagoras formula

c² = a² + b²

or

c = sqrt(a² + b²)

because the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference of the 2 points.

so, in our case here

d = sqrt((10 - -1)² + (5 - 2)²) = sqrt(11² + 3²) = sqrt(121 + 9) =

= sqrt(130) = 11.40175425... ≈ 11.4

Answer:

this might help

Step-by-step explanation:

Simplifying

2a + 4b + 6a + -3b = 0

Reorder the terms:

2a + 6a + 4b + -3b = 0

Combine like terms: 2a + 6a = 8a

8a + 4b + -3b = 0

Combine like terms: 4b + -3b = 1b

8a + 1b = 0

Solving

8a + 1b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1b' to each side of the equation.

8a + 1b + -1b = 0 + -1b

Combine like terms: 1b + -1b = 0

8a + 0 = 0 + -1b

8a = 0 + -1b

Remove the zero:

8a = -1b

Divide each side by '8'.

a = -0.125b

Simplifying

a = -0.125b

i) 14,17

ii) 8,14,17,16,9,15,

Answer:

x =  2 x = - 6

Step-by-step explanation:

2x^2 + 8x = 24

subtract 24 from both sides

(restar 24 de ambos lados)

2x^2 + 8x -24 = 0

find the common: 2

(encontrar lo común: 2)

2(x^2 + 4x - 12) = 0

2(x-2) (x+6) = 0

x = 2

x = - 6

Answer:

4

Step-by-step explanation:

Are yellow 1/7 in a percentage of 28=4

Answer:

4

Step-by-step explanation:

Since 1/7 of the 28 golf balls are yellow, we have to divide 28 by 7 to find out the precise number of balls.

28/7=4

Therefore, 4 of the golf balls are yellow.

Have a nice day! :)

14.55 out of 48.50 is 30%

Step-by-step explanation:

Answer:

I believe Henrey is wrong

Step-by-step explanation:

because the roots of the quadratic function are

"(x= 3/4, -2)."

Answer:

15:) hope this helps

Step-by-step explanation:

hope this helps...

Answer:

A.16y^2+200y+625

B.36x^2−120x+100

C. 121s^2+44st+4t^2

D.64a^2b^2−144a^2b+81a^2

Answer:

B or D

Step-by-step explanation:

if it is two die being rolled it's B. but if it's one die being rolled it's D.

[tex]\bold{\huge{\green{\underline{ Solutions }}}}[/tex]

We have,

[tex]\sf{HM = 5 cm }[/tex]

The perimeter of square

[tex]\sf{ = 4 × side }[/tex]

[tex]\sf{ = 4 × 5 }[/tex]

[tex]\sf{ = 20 cm }[/tex]

Thus, The perimeter of square is 20 cm

Hence, Option C is correct .

We have,

[tex]\sf{MX = 3.5 cm }[/tex]

Here,

[tex]\sf{MX = MT/2}[/tex]

[tex]\sf{MT = 2 * 3.5 }[/tex]

[tex]\sf{MT = 7 cm}[/tex]

Thus, The MT is 7cm long

Hence, Option C is correct .

We have to find the measure of Angle MAT

From above

[tex]\sf{\angle{MAT = 90° }}[/tex]

Thus, Angle MAT is 90°

Hence, Option B is correct .

We know that,

Therefore,

[tex]\sf{\angle{MHA = }}{\sf{\angle{ MHT/2}}}[/tex]

[tex]\sf{\angle{MHA = 90°/2}}[/tex]

[tex]\sf{\angle {MHA = 45°}}[/tex]

Thus, Angle MHA is 45°

Hence, Option A is correct

Refer the above attachment for solution

Hence, Option A is correct

Both a and b

Hence, Option C is correct

In rhombus PALM,

Let O be the midpoint of Rhombus PALM

In ΔOLM, By using Angle sum property :-

[tex]\sf{35° + 90° + }{\sf{\angle{ OLM = 180°}}}[/tex]

[tex]\sf{\angle{OLM = 180° - 125°}}[/tex]

[tex]\sf{\angle{ OLM = 55° }}[/tex]

Now,

[tex]\sf{\angle{OLM = }}{\sf{\angle{OLA}}}[/tex]

Therefore,

[tex]\sf{\angle{ PLA = 55° }}[/tex]

Thus, Angle PLA is 55° .

Hence, Option C is correct

Answer:

Please mark as Brainliest

The two pairs of parallel planes are ABCD and EFGH, ADEH and BCFG and the only segment parallel to BCGF is ADEH

From the given figure, we need to determine the line that is parallel to AB.

The parallel lines have no angles between them and are opposite to each other. The lines that are parallel to AB are CD, EF, and GH

Angles that are skewed to CD are those that are neither parallel nor perpendicular. The skewed lines to CD are FG and EH

The two pairs of parallel planes are ABCD and EFGH, ADEH and BCFG and the only segment parallel to BCGF is ADEH

Learn more on parallel, perpendicular and skewes lines here: https://brainly.com/question/18013592

Answer: you again…

It’s half the height times a + b

(Top length and bottom length)

Step-by-step explanation: there you go

Answer:

1 and 1/5

Step-by-step explanation:

if you add the numerator and leave the denominator you'll get that its basically just 6/5

Step-by-step explanation:

WYXV is quadrilateral.

the reason are the undefined angles at W and V (they are equal, but not necessarily 90°, so the shape could shrink or extend between W and V)

ABCD is a rectangle.

AB and CD are parallel and equally long. and C is 90°.

that means then that the other angles must be 90° too, or either the parallel or equally long criteria would be violated.

PQSR is a parallelogram.

PQ and RS are parallel and equally long.

that means that PR and QS must also be parallel and equally long. we just don't know the angles, they could be anything. and therefore this is not a rectangle but a more generic parallelogram.

Answer: 93.6 cubic inches

Step-by-step explanation:

Volume = lwh/2.

So V = (6 * 6 * 5.2)/2 = 93.6

Answer:

around 400

Step-by-step explanation:

If the manager finds 8 defective clocks out of 200 that is a 4% chance of a clock being defective, so if there are 10,000 clocks produced 4% of that is 400

Answer:

Step-by-step explanation:

The sum of exterior angles is 360° regardless the number of sides.

Each exterior angle of n-sided polygon is:

If no of sides be s

Measure of each exterior angle

a. The number of cubical packets on the floor is 30.

b. the number of cubical packets in 10 layers is 300 layers.

Since the volume of each cube is 1 cm³ and the volume of a cube V = L³ where L = length of side,

So, L = ∛V = ∛1 cm³ = 1 cm

So, the sides of the cubes are 1 cm long

Also, since the rectangular box is 5 cm long and 6 cm wide, to find the number of 1 cm³ cubical boxes that can be placed on the floor, we find the volume of that layer which is V = 5 cm × 6 cm × 1 cm = 30 cm³

The number of cubical packets on the floor is 30.

So, the number of cubical packets required, n = volume of layer/volume of cubical packet

= 30 cm³/1 cm³

= 30

The number of cubical packets on the floor is 30.

The number of cubical packets in 10 layers is 300 layers.

If there are 10 layers, then the number of packets on the layers, N = number of layer × number of packets/layer

= 10 × 30

= 300 layers.

So, the number of cubical packets in 10 layers is 300 layers.

Learn more about cubical packets here:

https://brainly.com/question/1279713

Answer:

-1±√3,(1±4√2)/2, (2±3√2)/2,1±√3

Step-by-step explanation:

Simplify the roots, and simplify the fraction.

For example, for x=(-4±√48)/4, you can simplify √48 to be √16 * √3, which is just 4·√3 or 4√3. Now, the original fraction is (-4±4√3)/4, which can be simplified to -1±√3. Solve the other problems using the same method.

2. (1±4√2)/2

3.(2±3√2)/2

4. 1±√3

Answer:

9 bags and is this from a second-grade textbook?

Step-by-step explanation:

Answer:

9 bags

Explanation

all you have to do is divide 45 by 5 and you get 9.