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3 years ago

Find the value of x or y so that the line through the points has the given slope (x, -7) and (3, 3); slope:1

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

8 0

Answer:

The answer is x = -7.

Step-by-step explanation:

In order to find this, we need to start by using the slope formula with all of the information that we have.

m(slope) = (y2 - y1)/(x2 - x1)

1 = (3 - -7)/(3 - x)

1 = 10/(3 - x)

Now we can use cross multiplication to solve for x.

1(3 -x) = 1(10)

3 - x = 10

-x = 7

x = -7

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Tomas factored the polynomial completely. What is true about his final product? 3x4−18x3+9x2−54x Ax(x2+B)(x+C)

iren2701 [21]

Answer:

A and B are both 3.

Step-by-step explanation:

The given polynomial is $3x^4-18x^3+9x^2-54x$ .

We factor the GCF to obtain:

$3x(x^3-6x^2+3x-18)$

We factor further by grouping to get:

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

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

We compare this to the given factored expression:

$3x(x^2+3)(x-6)=Ax(x^2+B)(x+C)$

We must have A=3,B=3, C=-6

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2 years ago

Read 2 more answers

Which of the following is not a perfect square?<br> A. 50<br> B. 49<br> C. 121<br> D. 1

luda_lava [24]

50 is not a perfect square because it doesn’t have a square root.

Hope this helped :)

6 0

3 years ago

Read 2 more answers

My metric bolt measures .780 with calipers over the threads what size is it

attashe74 [19]

Bolts are usually classified in terms of two types of measurements: the metric system and the imperial system. In calipers, the metric system is in units of millimeters, while the imperial system is in units of inches. For example, when a bolt is sized as 12 × 1.25 in the metric system, that means the bolt thread diameter measures 12 mm, and the thread pitch measures 1.25 mm.

So, if your metric bolt measures 0.78 over the threads, that means that the size of the bolt is 0.78 mm in thread pitch. The attached picture shows how you measure the thread pitch.

5 0

3 years ago

10m/

AlladinOne [14]

Answer:

Answer is D 312m^2

As D= 8m x 11m = A =88x 3 = 264+ 48 = 312

1/2 x 6 x 8 = 24

This makes triangle base of 6m

triangle side =8m

Rectangle side = 8m

and rectangle length = 11m

Step-by-step explanation:

First finding

A= 6 x 11 = 66m^2 (rectangle area) or 10 x 9 = 90sq^2

A = 1/2 x 6 x 11 = 33 (1/2bh) triangle

33+ 33 + 66 +66 + 66 = 264 or 33+ 33+ 90+90+90 =336

As 336 was not in the answer we do not know what 10m/9m represents, we then see this triangle prism is not a normal shape and its length is same as its height

a) is not in usual proportions.

We try again reversing which makes triangle sides 10m+ base 9m

= 1/2 x 10 x 10 = 50m^2 = triangle face area

we cannot continue the reverse as the triangle sides do not match the rectangle height. We therefore have to use the first answer C 264m^2

As 10m, 9m <do not match >6m 11m 8m

However if the given sizes 10m, 9m = bases of two different rectangles we would calculate 2 faces and add them each to one unknown face being one of the other face sizes we found to make 3.

10 x 8 = 80

9 x 8 = 72

To make one of these SA totals for rectangles alone

=80+80+72=232 or 72+72+80 =224

Then add to the 33 m^2 triangles

= 232+ 33+ 33 =297m^2

= 224+33+33 =310m^2

We can now determine that these measurements represent irregular values and are not answers within multiple choice, however d) we can state the triangle is regular prism where triangle sides are regular too creating isosceles triangle 6,8,8,

8m x 11m = A =88x 3 = 264+ 48 = 312

1/2 x 6 x 8 = 24

As we have ruled out rectangle with side 8m x 11m + A (33m^2) of triangle would equal 310m^2 (88+88+88+33+33) =330m

And ruled out rectangle with side 8m x 6m= 48m^2 (48+48+48+33+33 =210sqm)

So therefore if triangles were to equal 1/2 x 6 x 8 = 24

24 x 3= 72sqm

add the rectangle amounts above

= 72 + 88+ 88+ 88 =336^2

try another way and we find D. here below.

answer D= 72+ 80+80+80 = 312m^2 this can makes a correct answer D.

As last rule out is;

72 + 72 +72 (+triangle of 72) =288^2 would be irregular as this is equal to (9 x 8) x 3 and then the 11m is not used. It is also not a listed answer. Therefore; D=312m^2 is correct.

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.

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2 years ago

A particular type of mold is growing 9.7% per hour. Assuming that mold growth continues at this rate and there were 14,000 spore

nydimaria [60]

Total mold spores at end of 9.30 am is 26901.

Step-by-step explanation:

Number of molds = 14000

Rate = 9.7% per hour

Number of hours = 12 am to 9.30 am = 9 $\frac{1}{2}$ hours

Growth of mold = 14000 * 9.7% * 9 $\frac{1}{2}$

= 12901

Total mold spores at end of 9.30 am = 14000 + 12901

= 26901

Hence, the expected number of mold spores at 9.30 am is 26901.

7 0

2 years ago