what are the roots of: y=x^2+3x-98

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

Answer:

False, True, False

True first one

True second one

False third one

Answer: 50 inches

Step-by-step explanation:

Answer:

200g

Step-by-step explanation:

24x2=48

100x2=200

Answer:

√8x^7y^8

= 2x^3y^4 √2x

answer is C. third choice

Step-by-step explanation:

The expression is equivalent to given expression is [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^4[/tex].

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is √(8x⁷y⁸).

Here, √(8x⁷y⁸)

= [tex](8x^7y^8)^{\frac{1}{2} }[/tex]

= [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^{\frac{8}{2} }[/tex]

= [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^4[/tex]

Therefore, the equivalent expression is [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^4[/tex].

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Answer:

Rhombus

Step-by-step explanation:

This undoubtedly has to be a rhombus. When you look at other quadrilaterals for example and want to judge and or differentiate, we see that in the case of a square, the diagonals are equal to one another and they are not congruent. Same can be applied to that of a rectangle as well, it's diagonals aren't congruent, even if they appear perpendicular.

On the other hand, the diagonals of a rhombus is both perpendicular, and at the same time congruent. And thus, that's our answer

Answer:

12 .        18

    7 .             10

Step-by-step explanation:

Answer:

1. 12

2. 31

3. 37

4. 87

9514 1404 393

Answer:

  No

Step-by-step explanation:

The initial balance at the beginning of the year is not zero, so the balance is not proportional to the time since the beginning of the year.

__

A proportional relationship always starts at zero when the independent variable is zero.

Answer:

Read explanation

Step-by-step explanation:

A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.

B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.

Answer: 240 m

Step-by-step explanation:

Given

Football field measures [tex]100\ m\times 72\ m[/tex]

Another similar field of length

[tex]L=30\ m[/tex]

and width, say W is marked

So, their area must be the same

[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]

The width of the football field is 41.7m

The football measures 100m by 72 m. The school football field is similar.

For similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:

cross multiply

3000 = 72w

divide both sides by 72

w = 3000 / 72

w = 41.6666666667

w = 41.7 m

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Answer:

3,2

Step-by-step explanation:

3 is equal to 3 which can be it and 2 is less than 3

Answer:

m∠ABC = 110°

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles"

m∠BAC + m∠ABC = 135°

25° + m∠ABC = 135°

m∠ABC = 135° - 25°

             = 110°

Therefore, measure of angle ABC is 110°.

Answer:

Step-by-step explanation:

x+110=180

x=70 degrees

y+40+110=180

y=30 degrees

z+70+90=180

z=20 degrees

Answer:

it would take 12.5 or 12 and a half years

Step-by-step explanation:

Answer:

She can get 10 pounds of steak and 10 pounds of chicken.

Step-by-step explanation:

As Jacie wants to have at least 20 pounds of meat, you can write the following  equation:

x+y=20, where

x refers to the pounds of steak

y refers to the pounds of chicken

Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:

8x+4y=120

So, you have the following equations:

x+y=20 (1)

8x+4y=120 (2)

Now, you can solve for x in (1):

x=20-y (3)

Then, you can replace (3) in (2) and solve for y:

8(20-y)+4y=120

160-8y+4y=120

160-120=8y-4y

40=4y

y=40/4

y=10

Finally, you can relace the value of y in (3) to find x:

x=20-y

x=20-10

x=10

According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.

Answer:

There were 176 pitchers at the camp.

Step-by-step explanation:

Given that,

The ratio of pitchers to catchers at a baseball camp was 11:4.

Let pitchers be 11x and catachers be 4x.

Total catchers = 64

4x = 64

x = 16

So,

Pitchers = 11x

= 11(16)

= 176

Hence, there were 176 pitchers at the camp.

Answer:

the answer is y=30x

Step-by-step explanation:

however many inches times 30 is the consistent answer to the equation    

Answer:

y=30x

Step-by-step explanation:

We can start out by writing our slope-intercept form equation: y=mx+b. In this case, our y-intercept is 0, so we can write y=mx.

Let's find the slope. We can take the points (1,30) and (2,60). We can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find our slope. Plug these values in, and we get [tex]\frac{60-30}{2-1}[/tex]. Evaluate this, and our slope is 30. So, our equation is y=30x.

Hope this helped!

Answer:

y = - 4x + 5

Step-by-step explanation:

(y-1)/ (5-1) = (x-1)/(-1)

y-1 / 4 = -x+1

y-1 = -4x+4

y = - 4x + 5

Answer: 9

Step-by-step explanation:

12 + 8 + 7 + 12 + 6 = 45

There are 5 numbers

45 / 5 = 9

Answer:

mean = 9

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

mean = [tex]\frac{12+8+7+12+6}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9

Answer:

I would use addition

Step-by-step explanation:

Since addition is the opposite of subtraction.

Answer:

Addition

Step-by-step explanation You would use addition because you can cancle out the numbers that way

Answer:

yes, school is hard

thanks for points

have a good day ....❤

Answer:

1,436.8

Step-by-step explanation:

Answer: first one

Step-by-step explanation:

Answer:

254.34 in^2

Step-by-step explanation:

Answer:

PJ = 41.34

Step-by-step explanation:

P is incenter, three angles bisector meet

∠MJP ≅ ∠OJP

PM = PN = PO = 22   (radius: property of incenter)

∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO

ΔJPM ≅ ΔJPO   (ASA) or (SAS)

LM = JO

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

PJ = √35²+22² = √1709 = 41.34

The value of PJ in triangle KJL is 41.32 units.

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Given that, P is incenter of the triangle KJL,

Considering the triangles ΔMJP and ΔOJP

PM = PO (property of incenter)

∠ JMP ≅ ∠ JOP

JP is common segment.

ΔJPM ≅ ΔJPO  (by SAS rule)

JM = JO  (CPCTC)

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

Using the Pythagoras theorem,

PJ² = PM²+JM²

PJ = √35²+22² = √1709 = 41.34

Hence, The value of PJ in triangle KJL is 41.32 units.

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Answer:

75 student tickets and 10 chaperone tickets

Step-by-step explanation:

First find out how many groups there are total by dividing 85 by 1 group total of 17 (15 students 2 chaperones).

85 / 17 = 5

Since you now know there are five groups of 15 students and 2 chaperones all you have to do is multiply 5 time 15 students and 5 times 2 chaperones.

15 x 5 = 75 for students

5 x 2 = 10 for chaperones